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Solution
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Q.1 Correct
Q.1 In-correct
Q.1 Unattempt

A force $\mathrm{f}=\mathrm{x}^2 \mathrm{y} \hat{\mathrm{i}}+\mathrm{y}^2 \hat{\mathrm{j}}$ acts on a particle in a plane $\mathrm{x}+\mathrm{y}=10$. The work done by this force during a displacement from $(0,0)$ to $(4 \mathrm{~m}, 2 \mathrm{~m})$ is _________ Joule (round off to the nearest integer)



JEE Main 2025 (Online) 23rd January Morning Shift

A force $\mathrm{f}=\mathrm{x}^2 \mathrm{y} \hat{\mathrm{i}}+\mathrm{y}^2 \hat{\mathrm{j}}$ acts on a particle in a plane $\mathrm{x}+\mathrm{y}=10$. The work done by this force during a displacement from $(0,0)$ to $(4 \mathrm{~m}, 2 \mathrm{~m})$ is _________ Joule (round off to the nearest integer)



JEE Main 2025 (Online) 23rd January Morning Shift
Q.2 Correct
Q.2 In-correct
Q.2 Unattempt

In a hydraulic lift, the surface area of the input piston is 6 cm2 and that of the output piston is 1500 cm2. If 100 N force is applied to the input piston to raise the output piston by 20 cm, then the work done is _______ kJ.



JEE Main 2025 (Online) 29th January Morning Shift

In a hydraulic lift, the surface area of the input piston is 6 cm2 and that of the output piston is 1500 cm2. If 100 N force is applied to the input piston to raise the output piston by 20 cm, then the work done is _______ kJ.



JEE Main 2025 (Online) 29th January Morning Shift
Q.3 Correct
Q.3 In-correct
Q.3 Unattempt

A force $\overrightarrow{\mathrm{F}}=2 \hat{i}+\mathrm{b} \hat{j}+\hat{k}$ is applied on a particle and it undergoes a displacement $\hat{i}-2 \hat{j}-\hat{k}$ What will be the value of $b$, if work done on the particle is zero.



JEE Main 2025 (Online) 22nd January Evening Shift

A force $\overrightarrow{\mathrm{F}}=2 \hat{i}+\mathrm{b} \hat{j}+\hat{k}$ is applied on a particle and it undergoes a displacement $\hat{i}-2 \hat{j}-\hat{k}$ What will be the value of $b$, if work done on the particle is zero.



JEE Main 2025 (Online) 22nd January Evening Shift
Q.4 Correct
Q.4 In-correct
Q.4 Unattempt

A ball having kinetic energy KE, is projected at an angle of $60^{\circ}$ from the horizontal. What will be the kinetic energy of ball at the highest point of its flight?



JEE Main 2025 (Online) 23rd January Evening Shift

A ball having kinetic energy KE, is projected at an angle of $60^{\circ}$ from the horizontal. What will be the kinetic energy of ball at the highest point of its flight?



JEE Main 2025 (Online) 23rd January Evening Shift
Q.5 Correct
Q.5 In-correct
Q.5 Unattempt

A force $\mathrm{F}=\alpha+\beta \mathrm{x}^2$ acts on an object in the x -direction. The work done by the force is 5 J when the object is displaced by 1 m . If the constant $\alpha=1 \mathrm{~N}$ then $\beta$ will be



JEE Main 2025 (Online) 24th January Morning Shift

A force $\mathrm{F}=\alpha+\beta \mathrm{x}^2$ acts on an object in the x -direction. The work done by the force is 5 J when the object is displaced by 1 m . If the constant $\alpha=1 \mathrm{~N}$ then $\beta$ will be



JEE Main 2025 (Online) 24th January Morning Shift
Q.6 Correct
Q.6 In-correct
Q.6 Unattempt

Given below are two statements: one is labelled as Assertion A and the other is labelled as Reason $\mathbf{R}$

Assertion A: In a central force field, the work done is independent of the path chosen.

Reason R: Every force encountered in mechanics does not have an associated potential energy.

In the light of the above statements, choose the most appropriate answer from the options given below



JEE Main 2025 (Online) 28th January Morning Shift

Given below are two statements: one is labelled as Assertion A and the other is labelled as Reason $\mathbf{R}$

Assertion A: In a central force field, the work done is independent of the path chosen.

Reason R: Every force encountered in mechanics does not have an associated potential energy.

In the light of the above statements, choose the most appropriate answer from the options given below



JEE Main 2025 (Online) 28th January Morning Shift
Q.7 Correct
Q.7 In-correct
Q.7 Unattempt

A bead of mass ' $m$ ' slides without friction on the wall of a vertical circular hoop of radius ' $R$ ' as shown in figure. The bead moves under the combined action of gravity and a massless spring (k) attached to the bottom of the hoop. The equilibrium length of the spring is ' $R$ '. If the bead is released from top of the hoop with (negligible) zero initial speed, velocity of bead, when the length of spring becomes ' $R$ ', would be (spring constant is ' $k$ ', $g$ is accleration due to gravity)

JEE Main 2025 (Online) 28th January Morning Shift Physics - Work Power & Energy Question 5 English



JEE Main 2025 (Online) 28th January Morning Shift

A bead of mass ' $m$ ' slides without friction on the wall of a vertical circular hoop of radius ' $R$ ' as shown in figure. The bead moves under the combined action of gravity and a massless spring (k) attached to the bottom of the hoop. The equilibrium length of the spring is ' $R$ '. If the bead is released from top of the hoop with (negligible) zero initial speed, velocity of bead, when the length of spring becomes ' $R$ ', would be (spring constant is ' $k$ ', $g$ is accleration due to gravity)

JEE Main 2025 (Online) 28th January Morning Shift Physics - Work Power & Energy Question 5 English



JEE Main 2025 (Online) 28th January Morning Shift
Q.8 Correct
Q.8 In-correct
Q.8 Unattempt
A body of mass 4 kg is placed on a plane at a point $P$ having coordinate $(3,4) \mathrm{m}$. Under the action of force $\overrightarrow{\mathrm{F}}=(2 \hat{i}+3 \hat{j}) \mathrm{N}$, it moves to a new point Q having coordinates $(6,10) \mathrm{m}$ in 4 sec . The average power and instanteous power at the end of 4 sec are in the ratio of :

JEE Main 2025 (Online) 28th January Evening Shift
A body of mass 4 kg is placed on a plane at a point $P$ having coordinate $(3,4) \mathrm{m}$. Under the action of force $\overrightarrow{\mathrm{F}}=(2 \hat{i}+3 \hat{j}) \mathrm{N}$, it moves to a new point Q having coordinates $(6,10) \mathrm{m}$ in 4 sec . The average power and instanteous power at the end of 4 sec are in the ratio of :

JEE Main 2025 (Online) 28th January Evening Shift
Q.9 Correct
Q.9 In-correct
Q.9 Unattempt

A sand dropper drops sand of mass m(t) on a conveyer belt at a rate proportional to the square root of speed (v) of the belt, i.e., $\frac{dm}{dt} \propto \sqrt{v}$. If P is the power delivered to run the belt at constant speed then which of the following relationship is true?



JEE Main 2025 (Online) 29th January Evening Shift

A sand dropper drops sand of mass m(t) on a conveyer belt at a rate proportional to the square root of speed (v) of the belt, i.e., $\frac{dm}{dt} \propto \sqrt{v}$. If P is the power delivered to run the belt at constant speed then which of the following relationship is true?



JEE Main 2025 (Online) 29th January Evening Shift
Q.10 Correct
Q.10 In-correct
Q.10 Unattempt
A particle is released from height $S$ above the surface of the earth. At certain height its kinetic energy is three times its potential energy. The height from the surface of the earth and the speed of the particle at that instant are respectively.

JEE Main 2025 (Online) 3rd April Morning Shift
A particle is released from height $S$ above the surface of the earth. At certain height its kinetic energy is three times its potential energy. The height from the surface of the earth and the speed of the particle at that instant are respectively.

JEE Main 2025 (Online) 3rd April Morning Shift
Q.11 Correct
Q.11 In-correct
Q.11 Unattempt

A block of mass 25 kg is pulled along a horizontal surface by a force at an angle $45^{\circ}$ with the horizontal. The friction coefficient between the block and the surface is 0.25 . The block travels at a uniform velocity. The work done by the applied force during a displacement of 5 m of the block is :



JEE Main 2025 (Online) 4th April Evening Shift

A block of mass 25 kg is pulled along a horizontal surface by a force at an angle $45^{\circ}$ with the horizontal. The friction coefficient between the block and the surface is 0.25 . The block travels at a uniform velocity. The work done by the applied force during a displacement of 5 m of the block is :



JEE Main 2025 (Online) 4th April Evening Shift
Q.12 Correct
Q.12 In-correct
Q.12 Unattempt

An object of mass 1000 g experiences a time dependent force $\vec{F}=\left(2 t \hat{i}+3 t^2 \hat{j}\right) N$. The power generated by the force at time $t$ is:



JEE Main 2025 (Online) 7th April Morning Shift

An object of mass 1000 g experiences a time dependent force $\vec{F}=\left(2 t \hat{i}+3 t^2 \hat{j}\right) N$. The power generated by the force at time $t$ is:



JEE Main 2025 (Online) 7th April Morning Shift
Q.13 Correct
Q.13 In-correct
Q.13 Unattempt

Which one of the following forces cannot be expressed in terms of potential energy?



JEE Main 2025 (Online) 7th April Evening Shift

Which one of the following forces cannot be expressed in terms of potential energy?



JEE Main 2025 (Online) 7th April Evening Shift
Q.14 Correct
Q.14 In-correct
Q.14 Unattempt
A spherical body of mass 2‌kg starting from rest acquires a kinetic energy of 10000J at the end of 5‌th ‌ second. The force acted on the body is ___N.
[24-Jan-2023 Shift 1]
A spherical body of mass 2‌kg starting from rest acquires a kinetic energy of 10000J at the end of 5‌th ‌ second. The force acted on the body is ___N.
[24-Jan-2023 Shift 1]
Q.15 Correct
Q.15 In-correct
Q.15 Unattempt
A body of mass 1‌kg begins to move under the action of a time dependent force
→
F
=(t
^
i
+3t2
^
j
)N. where
^
i
 and
^
j
 are the unit vectors along x and y axis. The power developed by above force, at the time t=2s. will be____ W.
[24-Jan-2023 Shift 2]
A body of mass 1‌kg begins to move under the action of a time dependent force
→
F
=(t
^
i
+3t2
^
j
)N. where
^
i
 and
^
j
 are the unit vectors along x and y axis. The power developed by above force, at the time t=2s. will be____ W.
[24-Jan-2023 Shift 2]
Q.16 Correct
Q.16 In-correct
Q.16 Unattempt
An object of mass ' m ' initially at rest on a smooth horizontal plane starts moving under the action of force F=2N. In the process of its linear motion, the angle θ (as shown in figure) between the direction of force and horizontal varies as θ=kx, where k is a constant and x is the distance covered by the object from its initial position. The expression of kinetic energy of the object will be E=‌n∕ksin‌θ. The value of n is _______.

[25-Jan-2023 Shift 1]
An object of mass ' m ' initially at rest on a smooth horizontal plane starts moving under the action of force F=2N. In the process of its linear motion, the angle θ (as shown in figure) between the direction of force and horizontal varies as θ=kx, where k is a constant and x is the distance covered by the object from its initial position. The expression of kinetic energy of the object will be E=‌n∕ksin‌θ. The value of n is _______.

[25-Jan-2023 Shift 1]
Q.17 Correct
Q.17 In-correct
Q.17 Unattempt
A 0.4‌kg mass takes 8 s to reach ground when dropped from a certain height ' P ' above surface of earth. The loss of potential energy in the last second of fall is J. [Take g=10m∕ s2 ]
[29-Jan-2023 Shift 1]
A 0.4‌kg mass takes 8 s to reach ground when dropped from a certain height ' P ' above surface of earth. The loss of potential energy in the last second of fall is J. [Take g=10m∕ s2 ]
[29-Jan-2023 Shift 1]
Q.18 Correct
Q.18 In-correct
Q.18 Unattempt
Identify the correct statements from the following:
(A) Work done by a man in lifting a bucket out of a well by means of a rope tied to the bucket is negative.
(B) Work done by gravitational force in lifting a bucket out of a well by a rope tied to the bucket is negative.
(C) Work done by friction on a body sliding down an inclined plane is positive.
(D) Work done by an applied force on a body moving on a rough horizontal plane with uniform velocity in zero.
(E) Work done by the air resistance on an oscillating pendulum in negative.
Choose the correct answer from the options given below:
[29-Jan-2023 Shift 2]
Identify the correct statements from the following:
(A) Work done by a man in lifting a bucket out of a well by means of a rope tied to the bucket is negative.
(B) Work done by gravitational force in lifting a bucket out of a well by a rope tied to the bucket is negative.
(C) Work done by friction on a body sliding down an inclined plane is positive.
(D) Work done by an applied force on a body moving on a rough horizontal plane with uniform velocity in zero.
(E) Work done by the air resistance on an oscillating pendulum in negative.
Choose the correct answer from the options given below:
[29-Jan-2023 Shift 2]
Q.19 Correct
Q.19 In-correct
Q.19 Unattempt
A body of mass 2‌kg is initially at rest. It starts moving unidirectionally under the influence of a source of constant power P. Its displacement in 4 s is ‌
1
3
α2√Pm. The value of α will be _______
[30-Jan-2023 Shift 2]
A body of mass 2‌kg is initially at rest. It starts moving unidirectionally under the influence of a source of constant power P. Its displacement in 4 s is ‌
1
3
α2√Pm. The value of α will be _______
[30-Jan-2023 Shift 2]
Q.20 Correct
Q.20 In-correct
Q.20 Unattempt
A body of mass 1‌kg collides head on elastically with a stationary body of mass 3‌kg. After collision, the smaller body reverses its direction of motion and moves with a speed of 2m∕ s. The initial speed of the smaller body before collision is _______ ms−1.
[25-Jan-2023 Shift 2]
A body of mass 1‌kg collides head on elastically with a stationary body of mass 3‌kg. After collision, the smaller body reverses its direction of motion and moves with a speed of 2m∕ s. The initial speed of the smaller body before collision is _______ ms−1.
[25-Jan-2023 Shift 2]
Q.21 Correct
Q.21 In-correct
Q.21 Unattempt
A nucleus disintegrates into two smaller parts, which have their velocities in the ratio 3:2. The ratio of their nuclear sizes will be (‌
x
3
)‌
1
3
. The value of ' x ' is:
[25-Jan-2023 Shift 2]
A nucleus disintegrates into two smaller parts, which have their velocities in the ratio 3:2. The ratio of their nuclear sizes will be (‌
x
3
)‌
1
3
. The value of ' x ' is:
[25-Jan-2023 Shift 2]
Q.22 Correct
Q.22 In-correct
Q.22 Unattempt
A ball of mass 200g rests on a vertical post of height 20m. A bullet of mass 10g, travelling in horizontal direction, hits the centre of the ball. After collision both travels independently. The ball hits the ground at a distance 30m and the bullet at a distance of 120m from the foot of the post. The value of initial velocity of the bullet will be (if g=10m∕ s2 ) :
[30-Jan-2023 Shift 1]
A ball of mass 200g rests on a vertical post of height 20m. A bullet of mass 10g, travelling in horizontal direction, hits the centre of the ball. After collision both travels independently. The ball hits the ground at a distance 30m and the bullet at a distance of 120m from the foot of the post. The value of initial velocity of the bullet will be (if g=10m∕ s2 ) :
[30-Jan-2023 Shift 1]
Q.23 Correct
Q.23 In-correct
Q.23 Unattempt
As per the given figure, a small ball P slides down the quadrant of a circle and hits the other ball Q of equal mass which is initially at rest. Neglecting the effect of friction and assume the collision to be elastic, the velocity of ball Q after collision will be :(g=10m∕ s2)

[30-Jan-2023 Shift 1]
As per the given figure, a small ball P slides down the quadrant of a circle and hits the other ball Q of equal mass which is initially at rest. Neglecting the effect of friction and assume the collision to be elastic, the velocity of ball Q after collision will be :(g=10m∕ s2)

[30-Jan-2023 Shift 1]
Q.24 Correct
Q.24 In-correct
Q.24 Unattempt
A machine gun of mass 10‌kg fires 20g bullets at the rate of 180 bullets per minute with a speed of 100m s−1 each. The recoil velocity of the gun is :
[30-Jan-2023 Shift 2]
A machine gun of mass 10‌kg fires 20g bullets at the rate of 180 bullets per minute with a speed of 100m s−1 each. The recoil velocity of the gun is :
[30-Jan-2023 Shift 2]
Q.25 Correct
Q.25 In-correct
Q.25 Unattempt
100 balls each of mass m moving with speed v simultaneously strike a wall normally and reflected back with same speed, in time t s. The total force exerted by the balls on the wall is
[31-Jan-2023 Shift 1]
100 balls each of mass m moving with speed v simultaneously strike a wall normally and reflected back with same speed, in time t s. The total force exerted by the balls on the wall is
[31-Jan-2023 Shift 1]
Q.26 Correct
Q.26 In-correct
Q.26 Unattempt
A solid sphere of mass 1‌kg rolls without slipping on a plane surface. Its kinetic energy is 7×10−3J. The speed of the centre of mass of the sphere is _______ cm‌ s−1.
[31-Jan-2023 Shift 1]
A solid sphere of mass 1‌kg rolls without slipping on a plane surface. Its kinetic energy is 7×10−3J. The speed of the centre of mass of the sphere is _______ cm‌ s−1.
[31-Jan-2023 Shift 1]
Q.27 Correct
Q.27 In-correct
Q.27 Unattempt
A ball is dropped from a height of 20m. If the coefficient of restitution for the collision between ball and floor is 0.5, after hitting the floor, the ball rebounds to a height of ________ m.
[31-Jan-2023 Shift 2]
A ball is dropped from a height of 20m. If the coefficient of restitution for the collision between ball and floor is 0.5, after hitting the floor, the ball rebounds to a height of ________ m.
[31-Jan-2023 Shift 2]
Q.28 Correct
Q.28 In-correct
Q.28 Unattempt
A small particle moves to position 5
⋀
i
−2
⋀
j
+
⋀
k
 from its initial position 2
⋀
i
+3
⋀
j
−4
⋀
k
 under the action of force 5
⋀
i
+2
⋀
j
+7
⋀
k
N. The value of work done will be ______ J.
[1-Feb-2023 Shift 1]
A small particle moves to position 5
⋀
i
−2
⋀
j
+
⋀
k
 from its initial position 2
⋀
i
+3
⋀
j
−4
⋀
k
 under the action of force 5
⋀
i
+2
⋀
j
+7
⋀
k
N. The value of work done will be ______ J.
[1-Feb-2023 Shift 1]
Q.29 Correct
Q.29 In-correct
Q.29 Unattempt
A force F=(5+3y2) acts on a particle in the y direction, where F is newton and y is in meter. The work done by the force during a displacement from y=2m to y=5m is _______ j.
[1-Feb-2023 Shift 2]
A force F=(5+3y2) acts on a particle in the y direction, where F is newton and y is in meter. The work done by the force during a displacement from y=2m to y=5m is _______ j.
[1-Feb-2023 Shift 2]
Q.30 Correct
Q.30 In-correct
Q.30 Unattempt
A block is fastened to a horizontal spring. The block is pulled to a distance x=10‌cm from its equilibrium position (at x=0 ) on a frictionless surface from rest. The energy of the block at x=5 cm is 0.25J. The spring constant of the spring is ______ Nm−1
[1-Feb-2023 Shift 2]
A block is fastened to a horizontal spring. The block is pulled to a distance x=10‌cm from its equilibrium position (at x=0 ) on a frictionless surface from rest. The energy of the block at x=5 cm is 0.25J. The spring constant of the spring is ______ Nm−1
[1-Feb-2023 Shift 2]
Q.31 Correct
Q.31 In-correct
Q.31 Unattempt
Figures (a), (b), (c) and (d) show variation of force with time.

The impulse is highest in figure.
[1-Feb-2023 Shift 2]
Figures (a), (b), (c) and (d) show variation of force with time.

The impulse is highest in figure.
[1-Feb-2023 Shift 2]
Q.32 Correct
Q.32 In-correct
Q.32 Unattempt
A small particle of mass m moves in such a way that its potential energy U=‌
1
2
mω2r2 where ω is constant and r is the distance of the particle from origin. Assuming Bohr's quantization of momentum and circular orbit, the radius of n‌th ‌ orbit will be proportional to,
[6-Apr-2023 shift 2]
A small particle of mass m moves in such a way that its potential energy U=‌
1
2
mω2r2 where ω is constant and r is the distance of the particle from origin. Assuming Bohr's quantization of momentum and circular orbit, the radius of n‌th ‌ orbit will be proportional to,
[6-Apr-2023 shift 2]
Q.33 Correct
Q.33 In-correct
Q.33 Unattempt
A body is dropped on ground from a height ' h1 ' and after hitting the ground, it rebounds to a height ' h2 '. If the ratio of velocities of the body just before and after hitting ground is 4 , then percentage loss in kinetic energy of the body is ‌
x
4
. The value of x is _______.
[6-Apr-2023 shift 2]
A body is dropped on ground from a height ' h1 ' and after hitting the ground, it rebounds to a height ' h2 '. If the ratio of velocities of the body just before and after hitting ground is 4 , then percentage loss in kinetic energy of the body is ‌
x
4
. The value of x is _______.
[6-Apr-2023 shift 2]
Q.34 Correct
Q.34 In-correct
Q.34 Unattempt
The momentum of a body is increased by 50%. The percentage increase in the kinetic energy of the body is _______ %.
[8-Apr-2023 shift 1]
The momentum of a body is increased by 50%. The percentage increase in the kinetic energy of the body is _______ %.
[8-Apr-2023 shift 1]
Q.35 Correct
Q.35 In-correct
Q.35 Unattempt
A bullet of mass 0.1‌kg moving horizontally with speed 400ms−1 hits a wooden block of mass 3.9‌kg kept on a horizontal rough surface. The bullet gets embedded into the block and moves 20m before coming to rest. The coefficient of friction between the block and the surface is (. Given g=10m∕ s2)
[8-Apr-2023 shift 2]
A bullet of mass 0.1‌kg moving horizontally with speed 400ms−1 hits a wooden block of mass 3.9‌kg kept on a horizontal rough surface. The bullet gets embedded into the block and moves 20m before coming to rest. The coefficient of friction between the block and the surface is (. Given g=10m∕ s2)
[8-Apr-2023 shift 2]
Q.36 Correct
Q.36 In-correct
Q.36 Unattempt
A body of mass 5‌kg is moving with a momentum of 10‌kg‌ms−1. Now a force of 2N acts on the body in the direction of its motion for 5 s. The increase in the Kinetic energy of the body is _______ J.
[8-Apr-2023 shift 2]
A body of mass 5‌kg is moving with a momentum of 10‌kg‌ms−1. Now a force of 2N acts on the body in the direction of its motion for 5 s. The increase in the Kinetic energy of the body is _______ J.
[8-Apr-2023 shift 2]
Q.37 Correct
Q.37 In-correct
Q.37 Unattempt
A hollow spherical ball of uniform density rolls up a curved surface with an initial velocity 3m∕ s (as shown in figure). Maximum height with respect to the initial position covered by it will be _______ cm(. take, g=10m∕ s2)

[8-Apr-2023 shift 2]
A hollow spherical ball of uniform density rolls up a curved surface with an initial velocity 3m∕ s (as shown in figure). Maximum height with respect to the initial position covered by it will be _______ cm(. take, g=10m∕ s2)

[8-Apr-2023 shift 2]
Q.38 Correct
Q.38 In-correct
Q.38 Unattempt
A closed circular tube of average radius 15‌cm, whose inner walls are rough, is kept in vertical plane. A block of mass 1‌kg just fit inside the tube. The speed of block is 22m∕ s, when it is introduced at the top of tube. After completing five oscillations, the block stops at the bottom region of tube. The work done by the tube on the block is _______ J. (Given : g=10m∕ s2 )

[10-Apr-2023 shift 1]
A closed circular tube of average radius 15‌cm, whose inner walls are rough, is kept in vertical plane. A block of mass 1‌kg just fit inside the tube. The speed of block is 22m∕ s, when it is introduced at the top of tube. After completing five oscillations, the block stops at the bottom region of tube. The work done by the tube on the block is _______ J. (Given : g=10m∕ s2 )

[10-Apr-2023 shift 1]
Q.39 Correct
Q.39 In-correct
Q.39 Unattempt
If the maximum load carried by an elevator is 1400‌kg ( 600‌kg− Passengers +800‌kg - elevator), which is moving up with a uniform speed of 3m s−1 and the frictional force acting on it is 2000N, then the maximum power used by the motor is _______ kW(g=10m∕ s2)
[10-Apr-2023 shift 2]
If the maximum load carried by an elevator is 1400‌kg ( 600‌kg− Passengers +800‌kg - elevator), which is moving up with a uniform speed of 3m s−1 and the frictional force acting on it is 2000N, then the maximum power used by the motor is _______ kW(g=10m∕ s2)
[10-Apr-2023 shift 2]
Q.40 Correct
Q.40 In-correct
Q.40 Unattempt
A force
→
F
=(2+3x)
^
i
 acts on a particle in the x direction where F is in newton and x is in meter. The work done by this force during a displacement from x=0 to x=4m, is ________ mJ.
[11-Apr-2023 shift 1]
A force
→
F
=(2+3x)
^
i
 acts on a particle in the x direction where F is in newton and x is in meter. The work done by this force during a displacement from x=0 to x=4m, is ________ mJ.
[11-Apr-2023 shift 1]
Q.41 Correct
Q.41 In-correct
Q.41 Unattempt
A block of mass 5‌kg starting from rest pulled up on a smooth incline plane making an angle of 30∘ with horizontal with an affective acceleration of 1ms−2. The power delivered by the pulling force at t=10 s from the starts is ________ W.
[use g=10ms−2 ] (Calculate the nearest integer value)
[11-Apr-2023 shift 2]
A block of mass 5‌kg starting from rest pulled up on a smooth incline plane making an angle of 30∘ with horizontal with an affective acceleration of 1ms−2. The power delivered by the pulling force at t=10 s from the starts is ________ W.
[use g=10ms−2 ] (Calculate the nearest integer value)
[11-Apr-2023 shift 2]
Q.42 Correct
Q.42 In-correct
Q.42 Unattempt
To maintain a speed of 80‌km∕h by a bus of mass 500‌kg on a plane rough road for 4‌km distance, the work done by the engine of the bus will be _______ KJ. [The coefficient of fiction between tyre of bus and road is 0.04 .]
[12-Apr-2023 shift 1]
To maintain a speed of 80‌km∕h by a bus of mass 500‌kg on a plane rough road for 4‌km distance, the work done by the engine of the bus will be _______ KJ. [The coefficient of fiction between tyre of bus and road is 0.04 .]
[12-Apr-2023 shift 1]
Q.43 Correct
Q.43 In-correct
Q.43 Unattempt
The ratio of powers of two motors is ‌
3√x
√x+1
, that are capable of raising 300‌kg water in 5 minutes and 50‌kg water in 2 minutes respectively from a well of 100m deep. The value of x will be
[13-Apr-2023 shift 1]
The ratio of powers of two motors is ‌
3√x
√x+1
, that are capable of raising 300‌kg water in 5 minutes and 50‌kg water in 2 minutes respectively from a well of 100m deep. The value of x will be
[13-Apr-2023 shift 1]
Q.44 Correct
Q.44 In-correct
Q.44 Unattempt
A body of mass (5±0.5)‌kg is moving with a velocity of (20±0.4)m∕ s. Its kinetic energy will be
[13-Apr-2023 shift 1]
A body of mass (5±0.5)‌kg is moving with a velocity of (20±0.4)m∕ s. Its kinetic energy will be
[13-Apr-2023 shift 1]
Q.45 Correct
Q.45 In-correct
Q.45 Unattempt
A car accelerates from rest to um∕ s. The energy spent in this process is EJ. The energy required to accelerate the car from um∕ s to 2um∕ s is nE‌J. The value of n is _______.
[13-Apr-2023 shift 2]
A car accelerates from rest to um∕ s. The energy spent in this process is EJ. The energy required to accelerate the car from um∕ s to 2um∕ s is nE‌J. The value of n is _______.
[13-Apr-2023 shift 2]
Q.46 Correct
Q.46 In-correct
Q.46 Unattempt
A body is released from a height equal to the radius (r) of the earth. The velocity of the body when it strikes the surface of the earth will be :
(Given g= acceleration due to gravity on the earth.)
[15-Apr-2023 shift 1]
A body is released from a height equal to the radius (r) of the earth. The velocity of the body when it strikes the surface of the earth will be :
(Given g= acceleration due to gravity on the earth.)
[15-Apr-2023 shift 1]
Q.47 Correct
Q.47 In-correct
Q.47 Unattempt
A block of mass 10‌kg is moving along x-axis under the action of force F=5‌xN. The work done by the force in moving the block from x=2m to 4m will be _______ J.
[15-Apr-2023 shift 1]
A block of mass 10‌kg is moving along x-axis under the action of force F=5‌xN. The work done by the force in moving the block from x=2m to 4m will be _______ J.
[15-Apr-2023 shift 1]
Q.48 Correct
Q.48 In-correct
Q.48 Unattempt
A particle of mass m moving with velocity v collides with a stationary particle of mass 2m. After collision, they stick together and continue to move together with velocity
[10-Apr-2023 shift 1]
A particle of mass m moving with velocity v collides with a stationary particle of mass 2m. After collision, they stick together and continue to move together with velocity
[10-Apr-2023 shift 1]
Q.49 Correct
Q.49 In-correct
Q.49 Unattempt
An average force of 125N is applied on a machine gun firing bullets each of mass 10g at the speed of 250m∕ s to keep it in position. The number of bullets fired per second by the machine gun is :
[11-Apr-2023 shift 1]
An average force of 125N is applied on a machine gun firing bullets each of mass 10g at the speed of 250m∕ s to keep it in position. The number of bullets fired per second by the machine gun is :
[11-Apr-2023 shift 1]
Q.50 Correct
Q.50 In-correct
Q.50 Unattempt
A nucleus disintegrates into two nuclear parts, in such a way that ratio of their nuclear sizes is 1:21∕3. Their respective speed have a ratio of n:1. The value of n is _______
[11-Apr-2023 shift 2]
A nucleus disintegrates into two nuclear parts, in such a way that ratio of their nuclear sizes is 1:21∕3. Their respective speed have a ratio of n:1. The value of n is _______
[11-Apr-2023 shift 2]
Q.51 Correct
Q.51 In-correct
Q.51 Unattempt
Two bodies are having kinetic energies in the ratio 16:9. If they have same linear momentum, the ratio of their masses respectively is:
[13-Apr-2023 shift 1]
Two bodies are having kinetic energies in the ratio 16:9. If they have same linear momentum, the ratio of their masses respectively is:
[13-Apr-2023 shift 1]
Q.52 Correct
Q.52 In-correct
Q.52 Unattempt
A bullet of 10g leaves the barrel of gun with a velocity of 600m∕ s. If the barrel of gun is 50‌cm long and mass of gun is 3‌kg, then value of impulse supplied to the gun will be:
[13-Apr-2023 shift 1]
A bullet of 10g leaves the barrel of gun with a velocity of 600m∕ s. If the barrel of gun is 50‌cm long and mass of gun is 3‌kg, then value of impulse supplied to the gun will be:
[13-Apr-2023 shift 1]
Q.53 Correct
Q.53 In-correct
Q.53 Unattempt
A block of mass 10‌kg starts sliding on a surface with an initial velocity of 9.8ms−1. The coefficient of friction between the surface and block is 0.5. The distance covered by the block before coming to rest is:
[use g=9.8ms−2 ]
[24-Jun-2022-Shift-1]
A block of mass 10‌kg starts sliding on a surface with an initial velocity of 9.8ms−1. The coefficient of friction between the surface and block is 0.5. The distance covered by the block before coming to rest is:
[use g=9.8ms−2 ]
[24-Jun-2022-Shift-1]
Q.54 Correct
Q.54 In-correct
Q.54 Unattempt
A boy ties a stone of mass 100g to the end of a 2m long string and whirls it around in a horizontal plane. The string can withstand the maximum tension of 80N. If the maximum speed with which the stone can revolve is ‌
K
π
‌rev.∕min. The value of K is :
(Assume the string is massless and unstretchable)
[24-Jun-2022-Shift-1]
A boy ties a stone of mass 100g to the end of a 2m long string and whirls it around in a horizontal plane. The string can withstand the maximum tension of 80N. If the maximum speed with which the stone can revolve is ‌
K
π
‌rev.∕min. The value of K is :
(Assume the string is massless and unstretchable)
[24-Jun-2022-Shift-1]
Q.55 Correct
Q.55 In-correct
Q.55 Unattempt
A particle experiences a variable force
→
F
=(4x
∧
i
+3y2
∧
j
) in a horizontal x−y plane. Assume distance in meters and force is newton. If the particle moves from point (1,2) to point (2,3) in the x−y plane, then Kinetic Energy changes by :
[24-Jun-2022-Shift-1]
A particle experiences a variable force
→
F
=(4x
∧
i
+3y2
∧
j
) in a horizontal x−y plane. Assume distance in meters and force is newton. If the particle moves from point (1,2) to point (2,3) in the x−y plane, then Kinetic Energy changes by :
[24-Jun-2022-Shift-1]
Q.56 Correct
Q.56 In-correct
Q.56 Unattempt
A ball of mass 100g is dropped from a height h=10‌cm on a platform fixed at the top of a vertical spring (as shown in figure). The ball stays on the platform and the platform is depressed by a distance
‌
h
2
. The spring constant is Nm−1.
(Use g=10ms−2 )
[24-Jun-2022-Shift-1]
A ball of mass 100g is dropped from a height h=10‌cm on a platform fixed at the top of a vertical spring (as shown in figure). The ball stays on the platform and the platform is depressed by a distance
‌
h
2
. The spring constant is Nm−1.

(Use g=10ms−2 )
[24-Jun-2022-Shift-1]
Q.57 Correct
Q.57 In-correct
Q.57 Unattempt
A stone of mass m, tied to a string is being whirled in a vertical circle with a uniform speed. The tension in the string is
[24-Jun-2022-Shift-2]
A stone of mass m, tied to a string is being whirled in a vertical circle with a uniform speed. The tension in the string is
[24-Jun-2022-Shift-2]
Q.58 Correct
Q.58 In-correct
Q.58 Unattempt
Potential energy as a function of r is given by U=‌
A
r10
−‌
B
r5
, where r is the interatomic distance, A and B are positive constants. The equilibrium distance between the two atoms will be :
[24-Jun-2022-Shift-2]
Potential energy as a function of r is given by U=‌
A
r10
−‌
B
r5
, where r is the interatomic distance, A and B are positive constants. The equilibrium distance between the two atoms will be :
[24-Jun-2022-Shift-2]
Q.59 Correct
Q.59 In-correct
Q.59 Unattempt
A 0.5‌kg block moving at a speed of 12ms−1 compresses a spring through a distance 30‌cm when its speed is halved. The spring constant of the spring will be ____Nm−1
[25-Jun-2022-Shift-1]
A 0.5‌kg block moving at a speed of 12ms−1 compresses a spring through a distance 30‌cm when its speed is halved. The spring constant of the spring will be ____Nm−1
[25-Jun-2022-Shift-1]
Q.60 Correct
Q.60 In-correct
Q.60 Unattempt
The ratio of specific heats (‌
CP
CV
) in terms of degree of freedom (f) is given by :
[25-Jun-2022-Shift-2]
The ratio of specific heats (‌
CP
CV
) in terms of degree of freedom (f) is given by :
[25-Jun-2022-Shift-2]
Q.61 Correct
Q.61 In-correct
Q.61 Unattempt
Arrange the four graphs in descending order of total work done; where W1,W2,W3 and W4 are the work done corresponding to figure a,b,c and d respectively.

[26-Jun-2022-Shift-2]
Arrange the four graphs in descending order of total work done; where W1,W2,W3 and W4 are the work done corresponding to figure a,b,c and d respectively.

[26-Jun-2022-Shift-2]
Q.62 Correct
Q.62 In-correct
Q.62 Unattempt
A stone tide to a spring of length L is whirled in a vertical circle with the other end of the spring at the centre. At a certain instant of time, the stone is at its lowest position and has a speed u. The magnitude of change in its velocity, as it reaches a position where the string is horizontal, is √x(u2−gL). The value of x is -
[27-Jun-2022-Shift-2]
A stone tide to a spring of length L is whirled in a vertical circle with the other end of the spring at the centre. At a certain instant of time, the stone is at its lowest position and has a speed u. The magnitude of change in its velocity, as it reaches a position where the string is horizontal, is √x(u2−gL). The value of x is -
[27-Jun-2022-Shift-2]
Q.63 Correct
Q.63 In-correct
Q.63 Unattempt
A rolling wheel of 12‌kg is on an inclined plane at position P and connected to a mass of 3‌kg through a string of fixed length and pulley as shown in figure. Consider PR as friction free surface. The velocity of centre of mass of the wheel when it reaches at the bottom Q of the inclined plane PQ will be ‌
1
2
√xghm∕s. The value of x is_____

[27-Jun-2022-Shift-2]
A rolling wheel of 12‌kg is on an inclined plane at position P and connected to a mass of 3‌kg through a string of fixed length and pulley as shown in figure. Consider PR as friction free surface. The velocity of centre of mass of the wheel when it reaches at the bottom Q of the inclined plane PQ will be ‌
1
2
√xghm∕s. The value of x is_____

[27-Jun-2022-Shift-2]
Q.64 Correct
Q.64 In-correct
Q.64 Unattempt
A particle of mass m is moving in a circular path of constant radius r such that its centripetal acceleration is varying with time t as a=k2rt2, where k is a constant. The power delivered to the particle by the force acting on it is given as
[28-Jun-2022-Shift-1]
A particle of mass m is moving in a circular path of constant radius r such that its centripetal acceleration is varying with time t as a=k2rt2, where k is a constant. The power delivered to the particle by the force acting on it is given as
[28-Jun-2022-Shift-1]
Q.65 Correct
Q.65 In-correct
Q.65 Unattempt
A pendulum is suspended by a string of length 250‌cm. The mass of the bob of the pendulum is 200g. The bob is pulled aside until the string is at 60∘ with vertical as shown in the figure. After releasing the bob, the maximum velocity attained by the bob will be ____ms−1. (if g=10m∕s2 )

[28-Jun-2022-Shift-1]
A pendulum is suspended by a string of length 250‌cm. The mass of the bob of the pendulum is 200g. The bob is pulled aside until the string is at 60∘ with vertical as shown in the figure. After releasing the bob, the maximum velocity attained by the bob will be ____ms−1. (if g=10m∕s2 )

[28-Jun-2022-Shift-1]
Q.66 Correct
Q.66 In-correct
Q.66 Unattempt
A particle of mass 500‌gm is moving in a straight line with velocity v=bx5∕2. The work done by the net force during its displacement from x=0 to x=4m is : (Take .b=0.25m−3∕2s−1).
[29-Jun-2022-Shift-1]
A particle of mass 500‌gm is moving in a straight line with velocity v=bx5∕2. The work done by the net force during its displacement from x=0 to x=4m is : (Take .b=0.25m−3∕2s−1).
[29-Jun-2022-Shift-1]
Q.67 Correct
Q.67 In-correct
Q.67 Unattempt
In the given figure, the block of mass m is dropped from the point ' A '. The expression for kinetic energy of block when it reaches point ' B ' is

[29-Jun-2022-Shift-2]
In the given figure, the block of mass m is dropped from the point ' A '. The expression for kinetic energy of block when it reaches point ' B ' is

[29-Jun-2022-Shift-2]
Q.68 Correct
Q.68 In-correct
Q.68 Unattempt
A batsman hits back a ball of mass 0.4‌kg straight in the direction of the bowler without changing its initial speed of 15ms−1. The impulse imparted to the ball is ____Ns.
[26-Jun-2022-Shift-2]
A batsman hits back a ball of mass 0.4‌kg straight in the direction of the bowler without changing its initial speed of 15ms−1. The impulse imparted to the ball is ____Ns.
[26-Jun-2022-Shift-2]
Q.69 Correct
Q.69 In-correct
Q.69 Unattempt
Two blocks of masses 10‌kg and 30‌kg are placed on the same straight line with coordinates (0,0)‌cm and (x,0)‌cm respectively. The block of 10‌kg is moved on the same line through a distance of 6‌cm towards the other block. The distance through which the block of 30‌kg must be moved to keep the position of centre of mass of the system unchanged is :
[27-Jun-2022-Shift-1]
Two blocks of masses 10‌kg and 30‌kg are placed on the same straight line with coordinates (0,0)‌cm and (x,0)‌cm respectively. The block of 10‌kg is moved on the same line through a distance of 6‌cm towards the other block. The distance through which the block of 30‌kg must be moved to keep the position of centre of mass of the system unchanged is :
[27-Jun-2022-Shift-1]
Q.70 Correct
Q.70 In-correct
Q.70 Unattempt
What percentage of kinetic energy of a moving particle is transferred to a stationary particle when it strikes the stationary particle of 5 times its mass?
(Assume the collision to be head-on elastic collision)
[27-Jun-2022-Shift-1]
What percentage of kinetic energy of a moving particle is transferred to a stationary particle when it strikes the stationary particle of 5 times its mass?
(Assume the collision to be head-on elastic collision)
[27-Jun-2022-Shift-1]
Q.71 Correct
Q.71 In-correct
Q.71 Unattempt
A pendulum of length 2m consists of a wooden bob of mass 50g. A bullet of mass 75g is fired towards the stationary bob with a speed v. The bullet emerges out of the bob with a speed ‌
v
3
 and the bob just completes the vertical circle. The value of v is _____ms−1. (if g=10m∕s2 ).
[27-Jun-2022-Shift-1]
A pendulum of length 2m consists of a wooden bob of mass 50g. A bullet of mass 75g is fired towards the stationary bob with a speed v. The bullet emerges out of the bob with a speed ‌
v
3
 and the bob just completes the vertical circle. The value of v is _____ms−1. (if g=10m∕s2 ).
[27-Jun-2022-Shift-1]
Q.72 Correct
Q.72 In-correct
Q.72 Unattempt
The position vector of 1‌kg object is
→
r
=(3
∧
i
−
∧
j
)m and its velocity
→
v
=(3
∧
j
+
∧
k
)ms−1. The magnitude of its angular momentum is √x‌Nm where x is ____
[28-Jun-2022-Shift-1]
The position vector of 1‌kg object is
→
r
=(3
∧
i
−
∧
j
)m and its velocity
→
v
=(3
∧
j
+
∧
k
)ms−1. The magnitude of its angular momentum is √x‌Nm where x is ____
[28-Jun-2022-Shift-1]
Q.73 Correct
Q.73 In-correct
Q.73 Unattempt
A body of mass M at rest explodes into three pieces, in the ratio of masses 1:1:2. Two smaller pieces fly off perpendicular to each other with velocities of 30ms−1 and 40ms−1 respectively. The velocity of the third piece will be :
[29-Jun-2022-Shift-1]
A body of mass M at rest explodes into three pieces, in the ratio of masses 1:1:2. Two smaller pieces fly off perpendicular to each other with velocities of 30ms−1 and 40ms−1 respectively. The velocity of the third piece will be :
[29-Jun-2022-Shift-1]
Q.74 Correct
Q.74 In-correct
Q.74 Unattempt
A body of mass 0.5kg travels on straight line path with velocity v=(3x2+4)m∕s. The net workdone by the force during its displacement from x=0 to x=2m is :
[25-Jul-2022-Shift-1]
A body of mass 0.5kg travels on straight line path with velocity v=(3x2+4)m∕s. The net workdone by the force during its displacement from x=0 to x=2m is :
[25-Jul-2022-Shift-1]
Q.75 Correct
Q.75 In-correct
Q.75 Unattempt
A bag of sand of mass 9.8kg is suspended by a rope. A bullet of 200g travelling with speed 10ms−1 gets embedded in it, then loss of kinetic energy will be :
[25-Jul-2022-Shift-2]
A bag of sand of mass 9.8kg is suspended by a rope. A bullet of 200g travelling with speed 10ms−1 gets embedded in it, then loss of kinetic energy will be :
[25-Jul-2022-Shift-2]
Q.76 Correct
Q.76 In-correct
Q.76 Unattempt
As per the given figure, two blocks each of mass 250g are connected to a spring of spring constant 2Nm−1. If both are given velocity v in opposite directions, then maximum elongation of the spring is:

[26-Jul-2022-Shift-1]
As per the given figure, two blocks each of mass 250g are connected to a spring of spring constant 2Nm−1. If both are given velocity v in opposite directions, then maximum elongation of the spring is:

[26-Jul-2022-Shift-1]
Q.77 Correct
Q.77 In-correct
Q.77 Unattempt
A body of mass 8‌kg and another of mass 2‌kg are moving with equal kinetic energy. The ratio of their respective momentum will be :
[26-Jul-2022-Shift-2]
A body of mass 8‌kg and another of mass 2‌kg are moving with equal kinetic energy. The ratio of their respective momentum will be :
[26-Jul-2022-Shift-2]
Q.78 Correct
Q.78 In-correct
Q.78 Unattempt
Sand is being dropped from a stationary dropper at a rate of 0.5kgs−1 on a conveyor belt moving with a velocity of 5ms−1. The power needed to keep the belt moving with the same velocity will be :
[27-Jul-2022-Shift-1]
Sand is being dropped from a stationary dropper at a rate of 0.5kgs−1 on a conveyor belt moving with a velocity of 5ms−1. The power needed to keep the belt moving with the same velocity will be :
[27-Jul-2022-Shift-1]
Q.79 Correct
Q.79 In-correct
Q.79 Unattempt
A solid cylinder length is suspended symmetrically through two massless strings, as shown in the figure. The distance from the initial rest position, the cylinder should be unbinding the strings to achieve a speed of 4ms−1, is ________ cm. (. take g=10ms−2 )

[27-Jul-2022-Shift-2]
A solid cylinder length is suspended symmetrically through two massless strings, as shown in the figure. The distance from the initial rest position, the cylinder should be unbinding the strings to achieve a speed of 4ms−1, is ________ cm. (. take g=10ms−2 )

[27-Jul-2022-Shift-2]
Q.80 Correct
Q.80 In-correct
Q.80 Unattempt
Two inclined planes are placed as shown in figure. A block is projected from the Point A of inclined plane AB along its surface with a velocity just sufficient to carry it to the top Point B at a height 10m. After reaching the Point B the block slides down on inclined plane BC. Time it takes to reach to the point C from point A is t(√2+1) s. The value of t is _______.
(use g=10m∕s2 )

[27-Jul-2022-Shift-2]
Two inclined planes are placed as shown in figure. A block is projected from the Point A of inclined plane AB along its surface with a velocity just sufficient to carry it to the top Point B at a height 10m. After reaching the Point B the block slides down on inclined plane BC. Time it takes to reach to the point C from point A is t(√2+1) s. The value of t is _______.
(use g=10m∕s2 )

[27-Jul-2022-Shift-2]
Q.81 Correct
Q.81 In-correct
Q.81 Unattempt
A block of mass 'Im' (as shown in figure) moving with kinetic energy E compresses a spring through a distance 25‌cm when, its speed is halved. The value of spring constant of used spring will be nE‌Nm‌‌−1 for n= _______.

[28-Jul-2022-Shift-1]
A block of mass 'Im' (as shown in figure) moving with kinetic energy E compresses a spring through a distance 25‌cm when, its speed is halved. The value of spring constant of used spring will be nE‌Nm‌‌−1 for n= _______.

[28-Jul-2022-Shift-1]
Q.82 Correct
Q.82 In-correct
Q.82 Unattempt
A bullet of mass 200g having initial kinetic energy 90J is shot inside a long swimming pool as shown in the figure. If it's kinetic energy reduces to 40J within 1 s, the minimum length of the pool, the bullet has to travel so that it completely comes to rest is

[28-Jul-2022-Shift-2]
A bullet of mass 200g having initial kinetic energy 90J is shot inside a long swimming pool as shown in the figure. If it's kinetic energy reduces to 40J within 1 s, the minimum length of the pool, the bullet has to travel so that it completely comes to rest is

[28-Jul-2022-Shift-2]
Q.83 Correct
Q.83 In-correct
Q.83 Unattempt
Sun light falls normally on a surface of area 36cm2 and exerts an average force of 7.2×10−9N within a time period of 20 minutes. Considering a case of complete absorption, the energy flux of incident light is
[28-Jul-2022-Shift-2]
Sun light falls normally on a surface of area 36cm2 and exerts an average force of 7.2×10−9N within a time period of 20 minutes. Considering a case of complete absorption, the energy flux of incident light is
[28-Jul-2022-Shift-2]
Q.84 Correct
Q.84 In-correct
Q.84 Unattempt
If momentum of a body is increased by 20%, then its kinetic energy increases by
[29-Jul-2022-Shift-2]
If momentum of a body is increased by 20%, then its kinetic energy increases by
[29-Jul-2022-Shift-2]
Q.85 Correct
Q.85 In-correct
Q.85 Unattempt
Two billiard balls of mass 0.05kg each moving in opposite directions with 10ms−1 collide and rebound with the same speed. If the time duration of contact is t=0.005s, then what is the force exerted on the ball due to each other?
[25-Jul-2022-Shift-2]
Two billiard balls of mass 0.05kg each moving in opposite directions with 10ms−1 collide and rebound with the same speed. If the time duration of contact is t=0.005s, then what is the force exerted on the ball due to each other?
[25-Jul-2022-Shift-2]
Q.86 Correct
Q.86 In-correct
Q.86 Unattempt
Three identical spheres each of mass M are placed at the corners of a right angled triangle with mutually perpendicular sides equal to 3m each. Taking point of intersection of mutually perpendicular sides as origin, the magnitude of position vector of centre of mass of the system will be √xm. The value of x is___
[25-Jul-2022-Shift-2]
Three identical spheres each of mass M are placed at the corners of a right angled triangle with mutually perpendicular sides equal to 3m each. Taking point of intersection of mutually perpendicular sides as origin, the magnitude of position vector of centre of mass of the system will be √xm. The value of x is___
[25-Jul-2022-Shift-2]
Q.87 Correct
Q.87 In-correct
Q.87 Unattempt
A ball of mass 0.15‌kg hits the wall with its initial speed of 12ms−1 and bounces back without changing its initial speed. If the force applied by the wall on the ball during the contact is 100N, calculate the time duration of the contact of ball with the wall.
[26-Jul-2022-Shift-2]
A ball of mass 0.15‌kg hits the wall with its initial speed of 12ms−1 and bounces back without changing its initial speed. If the force applied by the wall on the ball during the contact is 100N, calculate the time duration of the contact of ball with the wall.
[26-Jul-2022-Shift-2]
Q.88 Correct
Q.88 In-correct
Q.88 Unattempt
A bullet is shot vertically downwards with an initial velocity of 100m∕s from a certain height. Within 10s, the bullet reaches the ground and instantaneously comes to rest due to the perfectly inelastic collision. The velocity-time curve for total time t=20s will be:
(Take .g=10m∕s2).
[27-Jul-2022-Shift-1]
A bullet is shot vertically downwards with an initial velocity of 100m∕s from a certain height. Within 10s, the bullet reaches the ground and instantaneously comes to rest due to the perfectly inelastic collision. The velocity-time curve for total time t=20s will be:
(Take .g=10m∕s2).
[27-Jul-2022-Shift-1]
Q.89 Correct
Q.89 In-correct
Q.89 Unattempt
The velocity of the bullet becomes one third after it penetrates 4‌cm in a wooden block. Assuming that bullet is facing a constant resistance during its motion in the block. The bullet stops completely after travelling at (4+x)‌cm inside the block. The value of x is :
[27-Jul-2022-Shift-2]
The velocity of the bullet becomes one third after it penetrates 4‌cm in a wooden block. Assuming that bullet is facing a constant resistance during its motion in the block. The bullet stops completely after travelling at (4+x)‌cm inside the block. The value of x is :
[27-Jul-2022-Shift-2]
Q.90 Correct
Q.90 In-correct
Q.90 Unattempt
Four identical discs each of mass ' M ' and diameter 'a' are arranged in a small plane as shown in figure. If the moment of inertia of the system about OO′ is ‌
x
4
Ma2. Then, the value of x will be ________.

[28-Jul-2022-Shift-1]
Four identical discs each of mass ' M ' and diameter 'a' are arranged in a small plane as shown in figure. If the moment of inertia of the system about OO′ is ‌
x
4
Ma2. Then, the value of x will be ________.

[28-Jul-2022-Shift-1]
Q.91 Correct
Q.91 In-correct
Q.91 Unattempt
The distance of centre of mass from end A of a one dimensional rod (AB) having mass density ρ=ρ0(1−‌
x2
L2
)‌kg∕m and length L (in meter) is ‌
3L
α
m. The value of α is_____ (where x is the distance from end A )
[28-Jul-2022-Shift-2]
The distance of centre of mass from end A of a one dimensional rod (AB) having mass density ρ=ρ0(1−‌
x2
L2
)‌kg∕m and length L (in meter) is ‌
3L
α
m. The value of α is_____ (where x is the distance from end A )
[28-Jul-2022-Shift-2]
Q.92 Correct
Q.92 In-correct
Q.92 Unattempt
Two bodies of mass 1‌kg and 3‌kg have position vectors
∧
i
+2
∧
j
+
∧
k
 and −3
∧
i
−2
∧
j
+
∧
k
 respectively. The magnitude of position vector of centre of mass of this system will be similar to the magnitude of vector :
[29-Jul-2022-Shift-1]
Two bodies of mass 1‌kg and 3‌kg have position vectors
∧
i
+2
∧
j
+
∧
k
 and −3
∧
i
−2
∧
j
+
∧
k
 respectively. The magnitude of position vector of centre of mass of this system will be similar to the magnitude of vector :
[29-Jul-2022-Shift-1]
Q.93 Correct
Q.93 In-correct
Q.93 Unattempt
Two particles having masses 4g and 16g respectively are moving with equal kinetic energies. The ratio of the magnitudes of their linear momentum is n:2. The value of n will be ............ .
[25 Feb 2021 Shift 2]
Two particles having masses 4g and 16g respectively are moving with equal kinetic energies. The ratio of the magnitudes of their linear momentum is n:2. The value of n will be ............ .
[25 Feb 2021 Shift 2]
Q.94 Correct
Q.94 In-correct
Q.94 Unattempt
Two solids A and B of mass 1kg and 2kg respectively are moving with equal linear momentum. The ratio of their kinetic energies (KE)A:(KE)B will be ‌
A
1
, so the value of A will be .......... .
[24 Feb 2021 Shift 2]
Two solids A and B of mass 1kg and 2kg respectively are moving with equal linear momentum. The ratio of their kinetic energies (KE)A:(KE)B will be ‌
A
1
, so the value of A will be .......... .
[24 Feb 2021 Shift 2]
Q.95 Correct
Q.95 In-correct
Q.95 Unattempt
A small bob tied at one end of a thin string of length 1m is describing a vertical circle, so that the maximum and minimum tension in the string are in the ratio 5:1. The velocity of the bob at the highest position is ......... m∕s. (Take, g=10m∕s2 )
[25 Feb 2021 Shift 1]
A small bob tied at one end of a thin string of length 1m is describing a vertical circle, so that the maximum and minimum tension in the string are in the ratio 5:1. The velocity of the bob at the highest position is ......... m∕s. (Take, g=10m∕s2 )
[25 Feb 2021 Shift 1]
Q.96 Correct
Q.96 In-correct
Q.96 Unattempt
Given below are two statements : one is labelled as Assertion A and the other is labelled as Reason R.

Assertion A Body P having mass M moving with speed u has head-on collision elastically with another body Q having mass m initially at rest. If m≪M , body Q will have a maximum speed equal to 2u after collision.

Reason R During elastic collision, the momentum and kinetic energy are both conserved.

 In the light of the above statements, choose the most appropriate answer from the options given below.
[26 Feb 2021 Shift 1]
Given below are two statements : one is labelled as Assertion A and the other is labelled as Reason R.

Assertion A Body P having mass M moving with speed u has head-on collision elastically with another body Q having mass m initially at rest. If m≪M , body Q will have a maximum speed equal to 2u after collision.

Reason R During elastic collision, the momentum and kinetic energy are both conserved.

 In the light of the above statements, choose the most appropriate answer from the options given below.
[26 Feb 2021 Shift 1]
Q.97 Correct
Q.97 In-correct
Q.97 Unattempt
A ball with a speed of 9m∕s collides with another identical ball at rest. After the collision, the direction of each ball makes an angle of 30∘ with the original direction. The ratio of velocities of the balls after collision is x:y, where x is
[24feb2021shift1]
A ball with a speed of 9m∕s collides with another identical ball at rest. After the collision, the direction of each ball makes an angle of 30∘ with the original direction. The ratio of velocities of the balls after collision is x:y, where x is
[24feb2021shift1]
Q.98 Correct
Q.98 In-correct
Q.98 Unattempt
A particle of mass m moves in a circular orbit under the central potential field, U(r)=‌
−C
r
, where C is a positive constant. The correct radius-velocity graph of the particle's motion is
[18 Mar 2021 Shift 2]
A particle of mass m moves in a circular orbit under the central potential field, U(r)=‌
−C
r
, where C is a positive constant. The correct radius-velocity graph of the particle's motion is
[18 Mar 2021 Shift 2]
Q.99 Correct
Q.99 In-correct
Q.99 Unattempt
As shown in the figure, a particle of mass 10kg is placed at a point A. When the particle is slightly displaced to its right, it starts moving and reaches the point B. The speed of the particle at B is xm/s. (Take, g=10m/s2 )
The value of x to the nearest integer is

[18 Mar 2021 Shift 1]
As shown in the figure, a particle of mass 10kg is placed at a point A. When the particle is slightly displaced to its right, it starts moving and reaches the point B. The speed of the particle at B is xm/s. (Take, g=10m/s2 )
The value of x to the nearest integer is

[18 Mar 2021 Shift 1]
Q.100 Correct
Q.100 In-correct
Q.100 Unattempt
A constant power delivering machine has towed a box, which was initially at rest, along a horizontal straight line. The distance moved by the box in time t is proportional to
[18 Mar 2021 Shift 1]
A constant power delivering machine has towed a box, which was initially at rest, along a horizontal straight line. The distance moved by the box in time t is proportional to
[18 Mar 2021 Shift 1]
Q.101 Correct
Q.101 In-correct
Q.101 Unattempt
A ball of mass 4kg, moving with a velocity of 10ms−1, collides with a spring of length 8m and force constant 100Nm−1. The length of the compressed spring is xm. The value of x to the nearest integer, is
[18 Mar 2021 Shift 2]
A ball of mass 4kg, moving with a velocity of 10ms−1, collides with a spring of length 8m and force constant 100Nm−1. The length of the compressed spring is xm. The value of x to the nearest integer, is
[18 Mar 2021 Shift 2]
Q.102 Correct
Q.102 In-correct
Q.102 Unattempt
An object of mass m1 collides with another object of mass m2, which is at rest. After the collision, the objects move with equal speeds in opposite direction. The ratio of the masses m2:m1 is
[18 Mar 2021 Shift 2]
An object of mass m1 collides with another object of mass m2, which is at rest. After the collision, the objects move with equal speeds in opposite direction. The ratio of the masses m2:m1 is
[18 Mar 2021 Shift 2]
Q.103 Correct
Q.103 In-correct
Q.103 Unattempt
A ball of mass 10kg moving with a velocity 10√3m∕s along the X-axis, hits another ball of mass 20kg which is at rest. After the collision, first ball comes to rest while the second ball disintegrates into two equal pieces. One piece starts moving along Y-axis with a speed of 10m∕s.
The second piece starts moving at an angle of 30∘ with respect to the X-axis. The velocity of the ball moving at 30∘ with X-axis is xm∕s. The configuration of pieces after collision is shown in the figure below. The value of x to the nearest integer is

[18 Mar 2021 Shift 1]
A ball of mass 10kg moving with a velocity 10√3m∕s along the X-axis, hits another ball of mass 20kg which is at rest. After the collision, first ball comes to rest while the second ball disintegrates into two equal pieces. One piece starts moving along Y-axis with a speed of 10m∕s.
The second piece starts moving at an angle of 30∘ with respect to the X-axis. The velocity of the ball moving at 30∘ with X-axis is xm∕s. The configuration of pieces after collision is shown in the figure below. The value of x to the nearest integer is

[18 Mar 2021 Shift 1]
Q.104 Correct
Q.104 In-correct
Q.104 Unattempt
Two identical blocks A and B each of mass m resting on the smooth horizontal floor are connected by a light spring of natural length L and spring constant k. A third block C of mass m moving with a speed v along the line joining A and B collides with A. The maximum compression in the spring is

[17 Mar 2021 Shift 2]
Two identical blocks A and B each of mass m resting on the smooth horizontal floor are connected by a light spring of natural length L and spring constant k. A third block C of mass m moving with a speed v along the line joining A and B collides with A. The maximum compression in the spring is

[17 Mar 2021 Shift 2]
Q.105 Correct
Q.105 In-correct
Q.105 Unattempt
A rubber ball is released from a height of 5m above the floor. It bounces back repeatedly, always rising to ‌
81
100
 of the height through which it falls. Find the average speed of the ball.
(Take, g=10ms−2 )
[17 Mar 2021 Shift 2]
A rubber ball is released from a height of 5m above the floor. It bounces back repeatedly, always rising to ‌
81
100
 of the height through which it falls. Find the average speed of the ball.
(Take, g=10ms−2 )
[17 Mar 2021 Shift 2]
Q.106 Correct
Q.106 In-correct
Q.106 Unattempt
- A boy is rolling a 0.5kg ball on the frictionless floor with the speed of 20ms−1. The ball gets deflected by an obstacle on the way. After deflection it moves with 5% of its initial kinetic energy. What is the speed of the ball now ?
[17 Mar 2021 Shift 1]
- A boy is rolling a 0.5kg ball on the frictionless floor with the speed of 20ms−1. The ball gets deflected by an obstacle on the way. After deflection it moves with 5% of its initial kinetic energy. What is the speed of the ball now ?
[17 Mar 2021 Shift 1]
Q.107 Correct
Q.107 In-correct
Q.107 Unattempt
A large block of wood of mass M=5.99kg is hanging from two long massless cords. A bullet of mass m=10g is fired into the block and gets embedded in it. The system (block + bullet) then swing upwards, their centre of mass rising a vertical distance h=9.8cm before the (block + bullet) pendulum comes momentarily to rest at the end of its arc. The speed of the bullet just before collision is (Take g=9.8ms−2 )

[16 Mar 2021 Shift 2]
A large block of wood of mass M=5.99kg is hanging from two long massless cords. A bullet of mass m=10g is fired into the block and gets embedded in it. The system (block + bullet) then swing upwards, their centre of mass rising a vertical distance h=9.8cm before the (block + bullet) pendulum comes momentarily to rest at the end of its arc. The speed of the bullet just before collision is (Take g=9.8ms−2 )

[16 Mar 2021 Shift 2]
Q.108 Correct
Q.108 In-correct
Q.108 Unattempt
A ball of mass 10kg moving with a velocity 10√3ms−1 along X-axis, hits another ball of mass 20kg, which is at rest. After collision, the first ball comes to rest and the second one disintegrates into two equal pieces. One of the pieces starts moving along Y-axis at a speed of 10m∕s. The second piece starts moving at a speed of 20m∕s at an angle θ (degree) with respect to the X-axis. The configuration of pieces after collision is shown in the figure. The value of θ to the nearest integer is

[16 Mar 2021 Shift 1]
A ball of mass 10kg moving with a velocity 10√3ms−1 along X-axis, hits another ball of mass 20kg, which is at rest. After collision, the first ball comes to rest and the second one disintegrates into two equal pieces. One of the pieces starts moving along Y-axis at a speed of 10m∕s. The second piece starts moving at a speed of 20m∕s at an angle θ (degree) with respect to the X-axis. The configuration of pieces after collision is shown in the figure. The value of θ to the nearest integer is

[16 Mar 2021 Shift 1]
Q.109 Correct
Q.109 In-correct
Q.109 Unattempt
Given below is the plot of a potential energy function U(x) for a system, in which a particle is in one dimensional motion, while a conservative force F(x) acts on it. Suppose that Emech =8J, the incorrect statement for this system is:

[27 Jul 2021 Shift 2]
Given below is the plot of a potential energy function U(x) for a system, in which a particle is in one dimensional motion, while a conservative force F(x) acts on it. Suppose that Emech =8J, the incorrect statement for this system is:

[27 Jul 2021 Shift 2]
Q.110 Correct
Q.110 In-correct
Q.110 Unattempt
A force of F=(5y+20)
^
j
N acts on a particle. The workdone by this force when the particle is moved from y=0m to y=10m is ______ J.
[25 Jul 2021 Shift 2]
A force of F=(5y+20)
^
j
N acts on a particle. The workdone by this force when the particle is moved from y=0m to y=10m is ______ J.
[25 Jul 2021 Shift 2]
Q.111 Correct
Q.111 In-correct
Q.111 Unattempt
A porter lifts a heavy suitcase of mass 80kg and at the destination lowers it down by a distance of 80cm with a constant velocity. Calculate the workdone by the porter in lowering the suitcase.
( take g=9.8ms−2)
[22 Jul 2021 Shift 2]
A porter lifts a heavy suitcase of mass 80kg and at the destination lowers it down by a distance of 80cm with a constant velocity. Calculate the workdone by the porter in lowering the suitcase.
( take g=9.8ms−2)
[22 Jul 2021 Shift 2]
Q.112 Correct
Q.112 In-correct
Q.112 Unattempt
If the Kinetic energy of a moving body becomes four times its initial Kinetic energy, then the percentage change in its momentum will be :
[20 Jul 2021 Shift 2]
If the Kinetic energy of a moving body becomes four times its initial Kinetic energy, then the percentage change in its momentum will be :
[20 Jul 2021 Shift 2]
Q.113 Correct
Q.113 In-correct
Q.113 Unattempt
In a spring gun having spring constant 100N∕m a small ball 'B' of mass 100g is put in its barrel (as shown in figure) by compressing the spring through 0.05m. There should be a box placed at a distance 'd' on the ground so that the ball falls in it. If the ball leaves the gun horizontally at a height of 2m above the ground. The value of d is m.
(g=10m∕s2)

[20 Jul 2021 Shift 1]
In a spring gun having spring constant 100N∕m a small ball 'B' of mass 100g is put in its barrel (as shown in figure) by compressing the spring through 0.05m. There should be a box placed at a distance 'd' on the ground so that the ball falls in it. If the ball leaves the gun horizontally at a height of 2m above the ground. The value of d is m.
(g=10m∕s2)

[20 Jul 2021 Shift 1]
Q.114 Correct
Q.114 In-correct
Q.114 Unattempt
An automobile of mass 'm' accelerates starting from origin and initially at rest, while the engine supplies constant power P. The position is given as a function of time by:
[27 Jul 2021 Shift 2]
An automobile of mass 'm' accelerates starting from origin and initially at rest, while the engine supplies constant power P. The position is given as a function of time by:
[27 Jul 2021 Shift 2]
Q.115 Correct
Q.115 In-correct
Q.115 Unattempt
A small block slides down from the top of hemisphere of radius R = 3 m as shown in the figure. The height 'h' at which the block will lose contact with the surface of the sphere is ____m.
(Assume there is no friction between the block and the hemisphere)

[27 Jul 2021 Shift 2]
A small block slides down from the top of hemisphere of radius R = 3 m as shown in the figure. The height 'h' at which the block will lose contact with the surface of the sphere is ____m.
(Assume there is no friction between the block and the hemisphere)

[27 Jul 2021 Shift 2]
Q.116 Correct
Q.116 In-correct
Q.116 Unattempt
A pendulum bob has a speed of 3 m/s at its lowest position. The pendulum is 50 cm long. The speed of bob, when the length makes an angle of 60° to the vertical will be (g = 10 m/s‌2 ) ______ m/s.
[25 Jul 2021 Shift 1]
A pendulum bob has a speed of 3 m/s at its lowest position. The pendulum is 50 cm long. The speed of bob, when the length makes an angle of 60° to the vertical will be (g = 10 m/s‌2 ) ______ m/s.
[25 Jul 2021 Shift 1]
Q.117 Correct
Q.117 In-correct
Q.117 Unattempt
A body at rest is moved along a horizontal straight line by a machine delivering a constant power. The distance moved by the body in time 't' is proportional to:
[20 Jul 2021 Shift 2]
A body at rest is moved along a horizontal straight line by a machine delivering a constant power. The distance moved by the body in time 't' is proportional to:
[20 Jul 2021 Shift 2]
Q.118 Correct
Q.118 In-correct
Q.118 Unattempt
Three objects A, B and C are kept in a straight line on a frictionless horizontal surface. The masses of A, B and C are m, 2 m and 2 m respectively. A moves towards B with a speed of 9 m/s and makes an elastic collision with it. Thereafter B makes a completely inelastic collision with C. All motions occur along same straight line. The final speed of C is :

[27 Jul 2021 Shift 1]
Three objects A, B and C are kept in a straight line on a frictionless horizontal surface. The masses of A, B and C are m, 2 m and 2 m respectively. A moves towards B with a speed of 9 m/s and makes an elastic collision with it. Thereafter B makes a completely inelastic collision with C. All motions occur along same straight line. The final speed of C is :

[27 Jul 2021 Shift 1]
Q.119 Correct
Q.119 In-correct
Q.119 Unattempt
A body of mass M moving at speed v0 collides elastically with a mass m at rest. After the collision, the two masses move at angles θ1 and θ2 with respect to the initial direction of motion of the body of mass M. The largest possible value of the ratio
M
m
 , for which the angles θ1 and θ2 will be equal, is
[31 Aug 2021 Shift 1]
A body of mass M moving at speed v0 collides elastically with a mass m at rest. After the collision, the two masses move at angles θ1 and θ2 with respect to the initial direction of motion of the body of mass M. The largest possible value of the ratio
M
m
 , for which the angles θ1 and θ2 will be equal, is
[31 Aug 2021 Shift 1]
Q.120 Correct
Q.120 In-correct
Q.120 Unattempt
A block moving horizontally on a smooth surface with a speed of 40m∕s splits into two parts with masses in the ratio of 1:2. If the smaller part moves at 60m∕s in the same direction, then the fractional change in kinetic energy is
[31 Aug 2021 Shift 2]
A block moving horizontally on a smooth surface with a speed of 40m∕s splits into two parts with masses in the ratio of 1:2. If the smaller part moves at 60m∕s in the same direction, then the fractional change in kinetic energy is
[31 Aug 2021 Shift 2]
Q.121 Correct
Q.121 In-correct
Q.121 Unattempt
A block moving horizontally on a smooth surface with a speed of 40ms−1 splits into two equal parts. If one of the parts moves at 60ms−1 in the same direction, then the fractional change in the kinetic energy will be x: 4, where x is
[31 Aug 2021 Shift 1]
A block moving horizontally on a smooth surface with a speed of 40ms−1 splits into two equal parts. If one of the parts moves at 60ms−1 in the same direction, then the fractional change in the kinetic energy will be x: 4, where x is
[31 Aug 2021 Shift 1]
Q.122 Correct
Q.122 In-correct
Q.122 Unattempt
Two persons A and B perform same amount of work in moving a body through a certain distance d with application of forces acting at angle 45° and 60° with the direction of displacement respectively. The ratio of force applied by person A to the force applied by person B is
1
√x
. The value of x is ........ .
[27 Aug 2021 Shift 1]
Two persons A and B perform same amount of work in moving a body through a certain distance d with application of forces acting at angle 45° and 60° with the direction of displacement respectively. The ratio of force applied by person A to the force appliedby person B is
1
√x
. The value of x is ........ .
[27 Aug 2021 Shift 1]
Q.123 Correct
Q.123 In-correct
Q.123 Unattempt
A uniform chain of length 3m and mass 3‌kg overhangs a smooth table with 2m laying on the table. If k is the kinetic energy of the chain in joule as it completely slips off the table, then the value of k is ......... .
(Take, g=10m∕s2)
[26 Aug 2021 Shift 1]
A uniform chain of length 3m and mass 3‌kg overhangs a smooth table with 2m laying on the table. If k is the kinetic energy of the chain in joule as it completely slips off the table, then the value of k is ......... .
(Take, g=10m∕s2)
[26 Aug 2021 Shift 1]
Q.124 Correct
Q.124 In-correct
Q.124 Unattempt
A body of mass m dropped from a height h reaches the ground with a speed of 0.8√gh. The value of workdone by the air-friction is
[1 Sep 2021 Shift 2]
A body of mass m dropped from a height h reaches the ground with a speed of 0.8√gh. The value of workdone by the air-friction is
[1 Sep 2021 Shift 2]
Q.125 Correct
Q.125 In-correct
Q.125 Unattempt
An engine is attached to a wagon through a shock absorber of length 1.5m. The system with a total mass of 40000‌kg is moving with a speed of 72kmh−1, when the brakes are applied to bring it to rest. In the process of the system being brought to rest, the spring of the shock absorber gets compressed by 1.0m. If 90% of energy of the wagon is lost due to friction, the spring constant is ............. ×
105N∕m.
[1 Sep 2021 Shift 2]
An engine is attached to a wagon through a shock absorber of length 1.5m. The system with a total mass of 40000‌kg is moving with a speed of 72kmh−1, when the brakes are applied to bring it to rest. In the process of the system being brought to rest, the spring of the shock absorber gets compressed by 1.0m. If 90% of energy of the wagon is lost due to friction, the spring constant is ............. ×
105N∕m.
[1 Sep 2021 Shift 2]
Q.126 Correct
Q.126 In-correct
Q.126 Unattempt
Consider a force
→
F
=−x
^
i
+y
^
j
. The work done by this force in moving a particle from point A(1,0) to B(0,1) along the line segment is: (all quantities are in SI units)

[9 Jan. 2020 I]
Consider a force
→
F
=−x
^
i
+y
^
j
. The work done by this force in moving a particle from point A(1,0) to B(0,1) along the line segment is: (all quantities are in SI units)

[9 Jan. 2020 I]
Q.127 Correct
Q.127 In-correct
Q.127 Unattempt
A particle (m=1kg) slides down a frictionless track (AOC) starting from rest at a point A (height 2m ). After reaching C, the particle continues to move freely in air as a projectile. When it reaching its highest point P (height 1m ), the kinetic energy of the particle (in J ) is:
(Figure drawn is schematic and not to scale; take g=10 ms−2) _________.

[NA 7 Jan. 2020 I]
A particle (m=1kg) slides down a frictionless track (AOC) starting from rest at a point A (height 2m ). After reaching C, the particle continues to move freely in air as a projectile. When it reaching its highest point P (height 1m ), the kinetic energy of the particle (in J ) is:
(Figure drawn is schematic and not to scale; take g=10 ms−2) _________.

[NA 7 Jan. 2020 I]
Q.128 Correct
Q.128 In-correct
Q.128 Unattempt
A particle moves in one dimension from rest under the influence of a force that varies with the distance travelled by the particle as shown in the figure. The kinetic energy of the particle after it has travelled 3m is :

[7 Jan. 2020 II]
A particle moves in one dimension from rest under the influence of a force that varies with the distance travelled by the particle as shown in the figure. The kinetic energy of the particle after it has travelled 3m is :

[7 Jan. 2020 II]
Q.129 Correct
Q.129 In-correct
Q.129 Unattempt
A 60 HP electric motor lifts an elevator having a maximum total load capacity of 2000 kg. If the frictional force on the elevator is 4000 N, the speed of the elevator at full load is close to: (1 HP = 746 W, g = 10 ms‌–2)
[7 Jan. 2020 I]
A 60 HP electric motor lifts an elevator having a maximum total load capacity of 2000 kg. If the frictional force on the elevator is 4000 N, the speed of the elevator at full load is close to: (1 HP = 746 W, g = 10 ms‌–2)
[7 Jan. 2020 I]
Q.130 Correct
Q.130 In-correct
Q.130 Unattempt
Two particles of equal mass m have respective initial velocities u
^
i
 and u(
^
i
+
^
j
2
). They collide completely inelastically. The energy lost in the process is:
[9 Jan. 2020 I]
Two particles of equal mass m have respective initial velocities u
^
i
 and u(
^
i
+
^
j
2
). They collide completely inelastically. The energy lost in the process is:
[9 Jan. 2020 I]
Q.131 Correct
Q.131 In-correct
Q.131 Unattempt
A body A, of mass m=0.1kg has an initial velocity of 3
^
i
ms−1 It collides elastically with another body, B of the same mass which has an initial velocity of 5
^
j
ms−1. After collision, A moves with a velocity
→
v
=4(
^
i
+
^
j
). The energy of B after collision is written as
x
10
J. The value of x is ________.
[NA 8 Jan. 2020 I]
A body A, of mass m=0.1kg has an initial velocity of 3
^
i
ms−1 It collides elastically with another body, B of the same mass which has an initial velocity of 5
^
j
ms−1. After collision, A moves with a velocity
→
v
=4(
^
i
+
^
j
). The energy of B after collision is written as
x
10
J. The value of x is ________.
[NA 8 Jan. 2020 I]
Q.132 Correct
Q.132 In-correct
Q.132 Unattempt
A particle of mass m is dropped from a height h above the ground. At the same time another particle of the same mass is thrown vertically upwards from the ground with a speed of √2gh. If they collide head-on completely inelastically, the time taken for the combined mass to reach the ground, in units of √
h
g
 is:
[8 Jan. 2020 II]
A particle of mass m is dropped from a height h above the ground. At the same time another particle of the same mass is thrown vertically upwards from the ground with a speed of √2gh. If they collide head-on completely inelastically, the time taken for the combined mass to reach the ground, in units of √
h
g
 is:
[8 Jan. 2020 II]
Q.133 Correct
Q.133 In-correct
Q.133 Unattempt
A person pushes a box on a rough horizontal platform surface. He applies a force of 200N over a distance of 15m . Thereafter, he gets progressively tired and his applied force reduces linearly with distance to 100N . The total distance through which the box has been moved is 30m . What is the work done by the person during the total movement of the box?
[4 Sep. 2020 (II)]
A person pushes a box on a rough horizontal platform surface. He applies a force of 200N over a distance of 15m . Thereafter, he gets progressively tired and his applied force reduces linearly with distance to 100N . The total distance through which the box has been moved is 30m . What is the work done by the person during the total movement of the box?
[4 Sep. 2020 (II)]
Q.134 Correct
Q.134 In-correct
Q.134 Unattempt
A small block starts slipping down from a point B on an inclined plane AB, which is making an angle θ with the horizontal section BC is smooth and the remaining section CA is rough with a coefficient of friction µ . It is found that the block comes to rest as it reaches the bottom (point A ) of the inclined plane. If BC=2AC , the coefficient of friction is given by µ=k‌tan‌θ. The value of k is ________.
[NA 2 Sep. 2020 (I)]

A small block starts slipping down from a point B on an inclined plane AB, which is making an angle θ with the horizontal section BC is smooth and the remaining section CA is rough with a coefficient of friction µ . It is found that the block comes to rest as it reaches the bottom (point A ) of the inclined plane. If BC=2AC , the coefficient of friction is given by µ=k‌tan‌θ. The value of k is ________.
[NA 2 Sep. 2020 (I)]
Q.135 Correct
Q.135 In-correct
Q.135 Unattempt
A cricket ball of mass 0.15kg is thrown vertically up by a bowling machine so that it rises to a maximum height of 20 m after leaving the machine. If the part pushing the ball applies a constant force F on the ball and moves horizontally a distance of 0.2m while launching the ball, the value of F( in N) is (g=10ms−2) ________.
[NA 3 Sep. 2020 (I)]
A cricket ball of mass 0.15kg is thrown vertically up by a bowling machine so that it rises to a maximum height of 20 m after leaving the machine. If the part pushing the ball applies a constant force F on the ball and moves horizontally a distance of 0.2m while launching the ball, the value of F( in N) is (g=10ms−2) ________.
[NA 3 Sep. 2020 (I)]
Q.136 Correct
Q.136 In-correct
Q.136 Unattempt
A body of mass 2 kg is driven by an engine delivering a constant power of 1 J/s. The body starts from rest and moves in a straight line. After 9 seconds, the body has moved a distance (in m) ________.
[5 Sep. 2020 (II)]
A body of mass 2 kg is driven by an engine delivering a constant power of 1 J/s. The body starts from rest and moves in a straight line. After 9 seconds, the body has moved a distance (in m) ________.
[5 Sep. 2020 (II)]
Q.137 Correct
Q.137 In-correct
Q.137 Unattempt
A particle is moving unidirectionally on a horizontal plane under the action of a constant power supplying energy source. The displacement (s) - time (t) graph that describes the motion of the particle is (graphs are drawn schematically and are not to scale) :
[3 Sep. 2020 (II)]
A particle is moving unidirectionally on a horizontal plane under the action of a constant power supplying energy source. The displacement (s) - time (t) graph that describes the motion of the particle is (graphs are drawn schematically and are not to scale) :
[3 Sep. 2020 (II)]
Q.138 Correct
Q.138 In-correct
Q.138 Unattempt
Two bodies of the same mass are moving with the same speed, but in different directions in a plane. They have a completely inelastic collision and move together thereafter with a final speed which is half of their initial speed. The angle between the initial velocities of the two bodies (in degree) is ________.
[NA 6 Sep. 2020 (I)]
Two bodies of the same mass are moving with the same speed, but in different directions in a plane. They have a completely inelastic collision and move together thereafter with a final speed which is half of their initial speed. The angle between the initial velocities of the two bodies (in degree) is ________.
[NA 6 Sep. 2020 (I)]
Q.139 Correct
Q.139 In-correct
Q.139 Unattempt
Particle A of mass m1 moving with velocity (√3
^
i
+
^
j
)ms−1 collides with another particle B of mass m2 which is at rest initially. Let
→
V
1 and
→
V
2 be the velocities of particles A andB after collision respectively. If m1=2m2 and after collision
→
V
1=(
^
i
+√3
^
j
)ms−1, the angle between
→
V
1 and
→
V
2 is:
[6 Sep. 2020 (II)]
Particle A of mass m1 moving with velocity (√3
^
i
+
^
j
)ms−1 collides with another particle B of mass m2 which is at rest initially. Let
→
V
1 and
→
V
2 be the velocities of particles A andB after collision respectively. If m1=2m2 and after collision
→
V
1=(
^
i
+√3
^
j
)ms−1, the angle between
→
V
1 and
→
V
2 is:
[6 Sep. 2020 (II)]
Q.140 Correct
Q.140 In-correct
Q.140 Unattempt
Blocks of masses m,2m,4m and 8m are arranged in a line on a frictionless floor. Another block of mass m, moving with speed v along the same line (see figure) collides with mass m in perfectly inelastic manner. All the subsequent collisions are also perfectly inelastic. By the time the last block of mass 8m starts moving the total energy loss is p% of the original energy. Value of ′p ' is close to:

[4 Sep. 2020 (I)]
Blocks of masses m,2m,4m and 8m are arranged in a line on a frictionless floor. Another block of mass m, moving with speed v along the same line (see figure) collides with mass m in perfectly inelastic manner. All the subsequent collisions are also perfectly inelastic. By the time the last block of mass 8m starts moving the total energy loss is p% of the original energy. Value of ′p ' is close to:

[4 Sep. 2020 (I)]
Q.141 Correct
Q.141 In-correct
Q.141 Unattempt
A block of mass 1.9kg is at rest at the edge of a table, of height 1m. A bullet of mass 0.1kg collides with the block and sticks to it. If the velocity of the bullet is 20m∕s in the horizontal direction just before the collision then the kinetic energy just before the combined system strikes the floor, is [Take g=10m∕s2. Assume there is no rotational motion and losss of energy after the collision is negligiable.
[3 Sep. 2020 (II)]
A block of mass 1.9kg is at rest at the edge of a table, of height 1m. A bullet of mass 0.1kg collides with the block and sticks to it. If the velocity of the bullet is 20m∕s in the horizontal direction just before the collision then the kinetic energy just before the combined system strikes the floor, is [Take g=10m∕s2. Assume there is no rotational motion and losss of energy after the collision is negligiable.
[3 Sep. 2020 (II)]
Q.142 Correct
Q.142 In-correct
Q.142 Unattempt
A particle of mass m with an initial velocity u
^
i
 collides perfectly elastically with a mass 3m at rest. It moves with a velocity v
^
j
 after collision, then, v is given by :
[2 Sep. 2020 (I)]
A particle of mass m with an initial velocity u
^
i
 collides perfectly elastically with a mass 3m at rest. It moves with a velocity v
^
j
 after collision, then, v is given by :
[2 Sep. 2020 (I)]
Q.143 Correct
Q.143 In-correct
Q.143 Unattempt
A particle of mass m is moving along the x -axis with initial velocity u
^
i
. It collides elastically with a particle of mass 10m at rest and then moves with half its initial kinetic energy (see figure). If sin‌θ1=√n‌sin‌θ2, then value of n is ______.

[NA 2 Sep. 2020 (II)]
A particle of mass m is moving along the x -axis with initial velocity u
^
i
. It collides elastically with a particle of mass 10m at rest and then moves with half its initial kinetic energy (see figure). If sin‌θ1=√n‌sin‌θ2, then value of n is ______.

[NA 2 Sep. 2020 (II)]
Q.144 Correct
Q.144 In-correct
Q.144 Unattempt
A block of mass m is kept on a platform which starts from rest with constant acceleration g∕2 upward, as shown in fig. work done by normal reaction on block in time t is:

[10 Jan. 2019 I]
A block of mass m is kept on a platform which starts from rest with constant acceleration g∕2 upward, as shown in fig. work done by normal reaction on block in time t is:

[10 Jan. 2019 I]
Q.145 Correct
Q.145 In-correct
Q.145 Unattempt
A particle which is experiencing a force, given by
→
F
=3
→
i
−12
→
j
, undergoes a displacement of
→
d
=4
→
i
. If the particle had a kinetic energy of 3J at the beginning of the displacement, what is its kinetic energy at the end of the displacement?
[10 Jan. 2019 II]
A particle which is experiencing a force, given by
→
F
=3
→
i
−12
→
j
, undergoes a displacement of
→
d
=4
→
i
. If the particle had a kinetic energy of 3J at the beginning of the displacement, what is its kinetic energy at the end of the displacement?
[10 Jan. 2019 II]
Q.146 Correct
Q.146 In-correct
Q.146 Unattempt
A block of mass m, lying on a smooth horizontal surface, is attached to a spring (of negligible mass) of spring constant k. The other end of the spring is fixed, as shown in the figure. The block is initally at rest in its equilibrium position. If now the block is pulled with a constant force F, the maximum speed of the block is:

[9 Jan. 2019 I]
A block of mass m, lying on a smooth horizontal surface, is attached to a spring (of negligible mass) of spring constant k. The other end of the spring is fixed, as shown in the figure. The block is initally at rest in its equilibrium position. If now the block is pulled with a constant force F, the maximum speed of the block is:

[9 Jan. 2019 I]
Q.147 Correct
Q.147 In-correct
Q.147 Unattempt
A force acts on a 2kg object so that its position is given as a function of time as x=3t2+5. What is the work done by this force in first 5 seconds?
[9 Jan. 2019 II]
A force acts on a 2kg object so that its position is given as a function of time as x=3t2+5. What is the work done by this force in first 5 seconds?
[9 Jan. 2019 II]
Q.148 Correct
Q.148 In-correct
Q.148 Unattempt
An alpha-particle of mass m suffers 1 -dimensional elastic collision with a nucleus at rest of unknown mass. It is scattered directly backwards losing, 64% of its initial kinetic energy. The mass of the nucleus is :
[12 Jan. 2019 II]
An alpha-particle of mass m suffers 1 -dimensional elastic collision with a nucleus at rest of unknown mass. It is scattered directly backwards losing, 64% of its initial kinetic energy. The mass of the nucleus is :
[12 Jan. 2019 II]
Q.149 Correct
Q.149 In-correct
Q.149 Unattempt
A piece of wood of mass 0.03kg is dropped from the top of a 100m height building. At the same time, a bullet of mass 0.02kg is fired vertically upward, with a velocity 100ms−1, from the ground. The bullet gets embedded in the wood. Then the maximum height to which the combined system reaches above the top of the building before falling below is: (g=10ms−2)
[10 Jan. 2019 I]
A piece of wood of mass 0.03kg is dropped from the top of a 100m height building. At the same time, a bullet of mass 0.02kg is fired vertically upward, with a velocity 100ms−1, from the ground. The bullet gets embedded in the wood. Then the maximum height to which the combined system reaches above the top of the building before falling below is: (g=10ms−2)
[10 Jan. 2019 I]
Q.150 Correct
Q.150 In-correct
Q.150 Unattempt
There block A,B and C are lying on a smooth horizontal surface, as shown in the figure. A and B have equal masses, m while C has mass M. Block A is given an inital speed v towards B due to which it collides with B perfectly inelastically. The combined mass collides with C, also perfectly inelastically
5
6
 th of the initial kinetic energy is lost in whole process. What is value of M∕m ?

[9 Jan. 2019 I]
There block A,B and C are lying on a smooth horizontal surface, as shown in the figure. A and B have equal masses, m while C has mass M. Block A is given an inital speed v towards B due to which it collides with B perfectly inelastically. The combined mass collides with C, also perfectly inelastically
5
6
 th of the initial kineticenergy is lost in whole process. What is value of M∕m ?

[9 Jan. 2019 I]
Q.151 Correct
Q.151 In-correct
Q.151 Unattempt
A spring whose unstretched length is l has a force constant k. The spring is cut into two pieces of unstretched lengths I1 and l2 where, l1=nl2 and n is an integer. The ratio
k1
k2
 of the corresponding force constants, k1 and k2 will be:
[12 April 2019 II]
A spring whose unstretched length is l has a force constant k. The spring is cut into two pieces of unstretched lengths I1 and l2 where, l1=nl2 and n is an integer. The ratio
k1
k2
 of the corresponding force constants, k1 and k2 will be:
[12 April 2019 II]
Q.152 Correct
Q.152 In-correct
Q.152 Unattempt
A body of mass 1kg falls freely from a height of 100m, on a platform of mass 3kg which is mounted on a spring having spring constant k=1.25×106N∕m. The bodysticks to the platform and the spring's maximum compression is found to be x. Given that g=10ms−2, the value of x will be close to :
[11 April 2019 I]
A body of mass 1kg falls freely from a height of 100m, on a platform of mass 3kg which is mounted on a spring having spring constant k=1.25×106N∕m. The bodysticks to the platform and the spring's maximum compression is found to be x. Given that g=10ms−2, the value of x will be close to :
[11 April 2019 I]
Q.153 Correct
Q.153 In-correct
Q.153 Unattempt
A uniform cable of mass 'M' and length ' L ' is placed on a horizontal surface such that its (
1
n
)th part is hanging below the edge of the surface. To lift the hanging part of the cable upto the surface, the work done should be:
[9 April 2019 I]
A uniform cable of mass 'M' and length ' L ' is placed on a horizontal surface such that its (
1
n
)th part is hanging below the edge of the surface. To lift the hanging part of the cable upto the surface, the work done should be:
[9 April 2019 I]
Q.154 Correct
Q.154 In-correct
Q.154 Unattempt
A wedge of mass M=4m lies on a frictionless plane. particle of mass m approaches the wedge with speed v. There is no friction between the particle and the plane or between the particle and the wedge. The maximum height climbed by the particle on the wedge is given by:
[9 April 2019 II]
A wedge of mass M=4m lies on a frictionless plane. particle of mass m approaches the wedge with speed v. There is no friction between the particle and the plane or between the particle and the wedge. The maximum height climbed by the particle on the wedge is given by:
[9 April 2019 II]
Q.155 Correct
Q.155 In-correct
Q.155 Unattempt
A particle moves in one dimension from rest under the influence of a force that varies with the distance travelled by the particle as shown in the figure. The kinetic energy of the particle after it has travelled 3m is:

[8 April 2019 I]
A particle moves in one dimension from rest under the influence of a force that varies with the distance travelled by the particle as shown in the figure. The kinetic energy of the particle after it has travelled 3m is:

[8 April 2019 I]
Q.156 Correct
Q.156 In-correct
Q.156 Unattempt
A man ( mass =50kg) and his son (mass=20kg) are standing on a frictionless surface facing each other. The man pushes his son so that he starts moving at a speed of 0.70ms−1 with respect to the man. The speed of the man with respect to the surface is :
[12 April 2019 I]
A man ( mass =50kg) and his son (mass=20kg) are standing on a frictionless surface facing each other. The man pushes his son so that he starts moving at a speed of 0.70ms−1 with respect to the man. The speed of the man with respect to the surface is :
[12 April 2019 I]
Q.157 Correct
Q.157 In-correct
Q.157 Unattempt
Two particles, of masses M and 2M, moving, as shown, with speeds of 10m∕s and 5m∕s, collide elastically at the origin. After the collision, they move along the indicated directions with speeds v1 and v2, respectively. The values of v1 and v2 are nearly:

[10 April 2019 I]
Two particles, of masses M and 2M, moving, as shown, with speeds of 10m∕s and 5m∕s, collide elastically at the origin. After the collision, they move along the indicated directions with speeds v1 and v2, respectively. The values of v1 and v2 are nearly:

[10 April 2019 I]
Q.158 Correct
Q.158 In-correct
Q.158 Unattempt
A body of mass 2kg makes an elastic collision with a second body at rest and continues to move in the original direction but with one fourth of its original speed. What is the mass of the second body?
[9 April 2019 I]
A body of mass 2kg makes an elastic collision with a second body at rest and continues to move in the original direction but with one fourth of its original speed. What is the mass of the second body?
[9 April 2019 I]
Q.159 Correct
Q.159 In-correct
Q.159 Unattempt
A particle of mass ' m ' is moving with speed ' 2v ' and collides with a mass ' 2m ' moving with speed ' v ' in the same direction. After collision, the first mass is stopped completely while the second one splits into two particles each of mass ' m ', which move at angle 45° with respect to the original direction.
The speed of each of the moving particle will be:
[9 April 2019 II]
A particle of mass ' m ' is moving with speed ' 2v ' and collides with a mass ' 2m ' moving with speed ' v ' in the same direction. After collision, the first mass is stopped completely while the second one splits into two particles each of mass ' m ', which move at angle 45° with respect to the original direction.
The speed of each of the moving particle will be:
[9 April 2019 II]
Q.160 Correct
Q.160 In-correct
Q.160 Unattempt
A body of mass m1 moving with an unknown velocity of v1
^
i
, undergoes a collinear collision with a body of massm2 moving with a velocity v2
^
i
. After collision, m1 and m2move with velocities of v3
^
i
 and v4
^
i
, respectively. If m2=0.5m1 and v3=0.5v1, then v1 is:
[8 April 2019 II]
A body of mass m1 moving with an unknown velocity of v1
^
i
, undergoes a collinear collision with a body of massm2 moving with a velocity v2
^
i
. After collision, m1 and m2move with velocities of v3
^
i
 and v4
^
i
, respectively. If m2=0.5m1 and v3=0.5v1, then v1 is:
[8 April 2019 II]
Q.161 Correct
Q.161 In-correct
Q.161 Unattempt
A body of mass starts moving from rest along x - axis so that its velocity varies as v=a√s where a is a constant s and is the distance covered by the body. The total work done by all the forces acting on the body in the first second after the start of the motion is:
[Online April 16, 2018]
A body of mass starts moving from rest along x - axis so that its velocity varies as v=a√s where a is a constant s and is the distance covered by the body. The total work done by all the forces acting on the body in the first second after the start of the motion is:
[Online April 16, 2018]
Q.162 Correct
Q.162 In-correct
Q.162 Unattempt
A particle is moving in a circular path of radius a under the action of an attractive potential U=−
k
2r2
. Its total energyis:
[2018]
A particle is moving in a circular path of radius a under the action of an attractive potential U=−
k
2r2
. Its total energyis:
[2018]
Q.163 Correct
Q.163 In-correct
Q.163 Unattempt
Two particles of the same mass m are moving in circular orbits because of force, given by F(r)=
−16
r
−r3The first particle is at a distance r=1, and the second, at r=4. The best estimate for the ratio of kinetic energies of the first and the second particle is closest to
[Online April 16, 2018]
Two particles of the same mass m are moving in circular orbits because of force, given by F(r)=
−16
r
−r3The first particle is at a distance r=1, and the second, at r=4. The best estimate for the ratio of kinetic energies of the first and the second particle is closest to
[Online April 16, 2018]
Q.164 Correct
Q.164 In-correct
Q.164 Unattempt
In a collinear collision, a particle with an initial speed v0 strikes a stationary particle of the same mass. If the final total kinetic energy is 50% greater than the original kinetic energy, the magnitude of the relative velocity between the two particles, after collision, is:
[2018]
In a collinear collision, a particle with an initial speed v0 strikes a stationary particle of the same mass. If the final total kinetic energy is 50% greater than the original kinetic energy, the magnitude of the relative velocity between the two particles, after collision, is:
[2018]
Q.165 Correct
Q.165 In-correct
Q.165 Unattempt
The mass of a hydrogen molecule is 3.32×10−27kg. If 1023 hydrogen molecules strike, per second, a fixed wall of area 2cm2 at an angle of 45° to the normal, and rebound elastically with a speed of 103m∕s, then the pressure on the wall is nearly:
[2018]
The mass of a hydrogen molecule is 3.32×10−27kg. If 1023 hydrogen molecules strike, per second, a fixed wall of area 2cm2 at an angle of 45° to the normal, and rebound elastically with a speed of 103m∕s, then the pressure on the wall is nearly:
[2018]
Q.166 Correct
Q.166 In-correct
Q.166 Unattempt
It is found that if a neutron suffers an elastic collinear collision with deuterium at rest, fractional loss of its energy is pd; while for its similar collision with carbon nucleus at rest, fractional loss of energy is Pc. The values of Pd and Pc are respectively:
[2018]
It is found that if a neutron suffers an elastic collinear collision with deuterium at rest, fractional loss of its energy is pd; while for its similar collision with carbon nucleus at rest, fractional loss of energy is Pc. The values of Pd and Pc are respectively:
[2018]
Q.167 Correct
Q.167 In-correct
Q.167 Unattempt
A proton of mass m collides elastically with a particle of unknown mass at rest. After the collision, the proton and the unknown particle are seen moving at an angle of 90° with respect to each other. The mass of unknown particle is:
[Online April 15, 2018]
A proton of mass m collides elastically with a particle of unknown mass at rest. After the collision, the proton and the unknown particle are seen moving at an angle of 90° with respect to each other. The mass of unknown particle is:
[Online April 15, 2018]
Q.168 Correct
Q.168 In-correct
Q.168 Unattempt
A body of mass m=10−2kg is moving in a medium and experiences a frictional force F=−kv2. Its intial speed is v0= 10ms−1. If, after 10s, its energy is
1
8
mv02, the value of k will be:
[2017]
A body of mass m=10−2kg is moving in a medium and experiences a frictional force F=−kv2. Its intial speed is v0= 10ms−1. If, after 10s, its energy is
1
8
mv02, the value of k will be:
[2017]
Q.169 Correct
Q.169 In-correct
Q.169 Unattempt
An object is dropped from a height h from the ground. Every time it hits the ground it looses 50% of its kinetic energy. The total distance covered as t→∞ is
[Online April 8, 2017]
An object is dropped from a height h from the ground. Every time it hits the ground it looses 50% of its kinetic energy. The total distance covered as t→∞ is
[Online April 8, 2017]
Q.170 Correct
Q.170 In-correct
Q.170 Unattempt
A time dependent force F=6t acts on a particle of mass 1kg. If the particle starts from rest, the work done by the force during the first 1 second will be
[2017]
A time dependent force F=6t acts on a particle of mass 1kg. If the particle starts from rest, the work done by the force during the first 1 second will be
[2017]
Q.171 Correct
Q.171 In-correct
Q.171 Unattempt
Two particles A and B of equal mass M are moving with the same speed v as shown in the figure. They collide completely inelastically and move as a single particle C. The angle θ that the path of C makes with the X -axis is given by:

[Online April 9, 2017]
Two particles A and B of equal mass M are moving with the same speed v as shown in the figure. They collide completely inelastically and move as a single particle C. The angle θ that the path of C makes with the X -axis is given by:

[Online April 9, 2017]
Q.172 Correct
Q.172 In-correct
Q.172 Unattempt
Velocity-time graph for a body of mass 10kg is shown in figure. Work-done on the body in first two seconds of the motion is :

[Online April 10, 2016]
Velocity-time graph for a body of mass 10kg is shown in figure. Work-done on the body in first two seconds of the motion is :

[Online April 10, 2016]
Q.173 Correct
Q.173 In-correct
Q.173 Unattempt
A point particle of mass m, moves long the uniformly rough track PQR as shown in the figure. The coefficient of friction, between the particle and the rough track equals µ. The particle is released, from rest from the point P and it comes to rest at a point R. The energies, lost by the ball, over the parts, PQ and QR, of the track, are equal to each other, and no energy is lost when particle changes direction from PQ to QR.
The value of the coefficient of friction µ and the distance x(=QR), are, respectively close to :

[2016]
A point particle of mass m, moves long the uniformly rough track PQR as shown in the figure. The coefficient of friction, between the particle and the rough track equals µ. The particle is released, from rest from the point P and it comes to rest at a point R. The energies, lost by the ball, over the parts, PQ and QR, of the track, are equal to each other, and no energy is lost when particle changes direction from PQ to QR.
The value of the coefficient of friction µ and the distance x(=QR), are, respectively close to :

[2016]
Q.174 Correct
Q.174 In-correct
Q.174 Unattempt
A person trying to lose weight by burning fat lifts a mass of 10kg upto a height of 1m1000 times. Assume that the potential energy lost each time he lowers the mass is dissipated. How much fat will he use up considering the work done only when the weight is lifted up? Fat supplies 3.8‌times‌107‌J of energy per kg which is converted to mechanical energy with a 20% efficiency rate. Take g=9.8 ms−2:
[2016]
A person trying to lose weight by burning fat lifts a mass of 10kg upto a height of 1m1000 times. Assume that the potential energy lost each time he lowers the mass is dissipated. How much fat will he use up considering the work done only when the weight is lifted up? Fat supplies 3.8‌times‌107‌J of energy per kg which is converted to mechanical energy with a 20% efficiency rate. Take g=9.8 ms−2:
[2016]
Q.175 Correct
Q.175 In-correct
Q.175 Unattempt
A particle of mass M is moving in a circle of fixed radius R in such a way that its centripetal acceleration at time t is given by n2Rt2 where n is a constant. The power delivered to the particle by the force acting on it, is:
[Online April 10, 2016]
A particle of mass M is moving in a circle of fixed radius R in such a way that its centripetal acceleration at time t is given by n2Rt2 where n is a constant. The power delivered to the particle by the force acting on it, is:
[Online April 10, 2016]
Q.176 Correct
Q.176 In-correct
Q.176 Unattempt
A car of weight W is on an inclined road that rises by 100 m over a distance of 1Km and applies a constant frictionalforce
W
20
 on the car. While moving uphill on the road at a speed of 10ms−1, the car needs power P. If it needspower
P
2
 while moving downhill at speed v then value of v is:
[Online April 9, 2016]
A car of weight W is on an inclined road that rises by 100 m over a distance of 1Km and applies a constant frictionalforce
W
20
 on the car. While moving uphill on the road at a speed of 10ms−1, the car needs power P. If it needspower
P
2
 while moving downhill at speed v then value of v is:
[Online April 9, 2016]
Q.177 Correct
Q.177 In-correct
Q.177 Unattempt
A neutron moving with a speed 'v' makes a head on collision with a stationary hydrogen atom in ground state.
The minimum kinetic energy of the neutron for which inelastic collision will take place is :
[Online April 10, 2016]
A neutron moving with a speed 'v' makes a head on collision with a stationary hydrogen atom in ground state.
The minimum kinetic energy of the neutron for which inelastic collision will take place is :
[Online April 10, 2016]
Q.178 Correct
Q.178 In-correct
Q.178 Unattempt
A particle is moving in a circle of radius r under the action of a force F=αr2 which is directed towards centre of the circle. Total mechanical energy (kinetic energy + potential energy) of the particle is (take potential energy =0 for r=0 ) :
[Online April 11, 2015]
A particle is moving in a circle of radius r under the action of a force F=αr2 which is directed towards centre of the circle. Total mechanical energy (kinetic energy + potential energy) of the particle is (take potential energy =0 for r=0 ) :
[Online April 11, 2015]
Q.179 Correct
Q.179 In-correct
Q.179 Unattempt
A block of mass m=0.1kg is connected to a spring of unknown spring constant k. It is compressed to a distance x from its equilibrium position and released from rest. After approaching half the distance (
x
2
) from equilibrium position, it hits another block and comes to rest momentarily, while the other block moves with a velocity 3ms−1.
The total initial energy of the spring is:
[Online April 10, 2015]
A block of mass m=0.1kg is connected to a spring of unknown spring constant k. It is compressed to a distance x from its equilibrium position and released from rest. After approaching half the distance (
x
2
) from equilibrium position, it hits another block and comes to rest momentarily, while the other block moves with a velocity 3ms−1.
The total initial energy of the spring is:
[Online April 10, 2015]
Q.180 Correct
Q.180 In-correct
Q.180 Unattempt
A particle of mass m moving in the x direction with speed 2v is hit by another particle of mass 2m moving in the y direction with speed v. If the collision is perfectly inelastic, the percentage loss in the energy during the collision is close to :
[2015]
A particle of mass m moving in the x direction with speed 2v is hit by another particle of mass 2m moving in the y direction with speed v. If the collision is perfectly inelastic, the percentage loss in the energy during the collision is close to :
[2015]
Q.181 Correct
Q.181 In-correct
Q.181 Unattempt
When a rubber-band is stretched by a distance x, it exerts restoring force of magnitude F=ax+bx2 where a and bare constants. The work done in stretching the unstretched rubber-band by L is:
[2014]
When a rubber-band is stretched by a distance x, it exerts restoring force of magnitude F=ax+bx2 where a and bare constants. The work done in stretching the unstretched rubber-band by L is:
[2014]
Q.182 Correct
Q.182 In-correct
Q.182 Unattempt
A bullet looses (
1
n
)th of its velocity passing through one plank. The number of such planks that are required to stop the bullet can be:
[Online April 19, 2014]
A bullet looses (
1
n
)th of its velocity passing through one plank. The number of such planks that are required to stop the bullet can be:
[Online April 19, 2014]
Q.183 Correct
Q.183 In-correct
Q.183 Unattempt
A spring of unstretched length 1 has a mass m with one end fixed to a rigid support. Assuming spring to be made of a uniform wire, the kinetic energy possessed by it if its free end is pulled with uniform velocity v is:
[Online April 12, 2014]
A spring of unstretched length 1 has a mass m with one end fixed to a rigid support. Assuming spring to be made of a uniform wire, the kinetic energy possessed by it if its free end is pulled with uniform velocity v is:
[Online April 12, 2014]
Q.184 Correct
Q.184 In-correct
Q.184 Unattempt
A bullet of mass 4g is fired horizontally with a speed of 300 m/s into 0.8 kg block of wood at rest on a table. If the coefficient of friction between the block and the table is 0.3, how far will the block slide approximately?
[Online April 12, 2014]
A bullet of mass 4g is fired horizontally with a speed of 300 m/s into 0.8 kg block of wood at rest on a table. If the coefficient of friction between the block and the table is 0.3, how far will the block slide approximately?
[Online April 12, 2014]
Q.185 Correct
Q.185 In-correct
Q.185 Unattempt
Three masses m, 2m and 3m are moving in x-y plane with speed 3u, 2u and u respectively as shown in figure. The three masses collide at the same point at P and stick together. The velocity of resulting mass will be:

[Online April 12, 2014]
Three masses m, 2m and 3m are moving in x-y plane with speed 3u, 2u and u respectively as shown in figure. The three masses collide at the same point at P and stick together. The velocity of resulting mass will be:

[Online April 12, 2014]
Q.186 Correct
Q.186 In-correct
Q.186 Unattempt
Two springs of force constants 300N∕m (Spring A ) and 400N∕m (Spring B) are joined together in series. The combination is compressed by 8.75cm. The ratio of energy stored in A and B is
EA
EB
. Then
EA
EB
 is equal to:
[Online April 9, 2013]
Two springs of force constants 300N∕m (Spring A ) and 400N∕m (Spring B) are joined together in series. The combination is compressed by 8.75cm. The ratio of energy stored in A and B is
EA
EB
. Then
EA
EB
 is equal to:
[Online April 9, 2013]
Q.187 Correct
Q.187 In-correct
Q.187 Unattempt
A wind-powered generator converts wind energy into electrical energy. Assume that the generator converts a fixed fraction of the wind energy intercepted by its blades into electrical energy. For wind speed n, the electrical power output will be most likely proportional to
[Online April 25, 2013]
A wind-powered generator converts wind energy into electrical energy. Assume that the generator converts a fixed fraction of the wind energy intercepted by its blades into electrical energy. For wind speed n, the electrical power output will be most likely proportional to
[Online April 25, 2013]
Q.188 Correct
Q.188 In-correct
Q.188 Unattempt
A 70kg man leaps vertically into the air from a crouching position. To take the leap the man pushes the ground with a constant force F to raise himself. The center of gravity rises by 0.5m before he leaps. After the leap the c.g. rises by another 1m. The maximum power delivered by the muscles is: (Take g=10ms−2 )
[Online April 23, 2013]
A 70kg man leaps vertically into the air from a crouching position. To take the leap the man pushes the ground with a constant force F to raise himself. The center of gravity rises by 0.5m before he leaps. After the leap the c.g. rises by another 1m. The maximum power delivered by the muscles is: (Take g=10ms−2 )
[Online April 23, 2013]
Q.189 Correct
Q.189 In-correct
Q.189 Unattempt
This question has statement I and statement II. Of the four choices given after the statements, choose the one that best describes the two statements.
Statement - I: A point particle of mass m moving with speed υ collides with stationary point particle of mass M. If the maximum energy loss possible is given as f(
1
2
mv2) then f=(
m
M+m
)
Statement - II: Maximum energy loss occurs when the particles get stuck together as a result of the collision.
[2013]
This question has statement I and statement II. Of the four choices given after the statements, choose the one that best describes the two statements.
Statement - I: A point particle of mass m moving with speed υ collides with stationary point particle of mass M. If the maximum energy loss possible is given as f(
1
2
mv2) then f=(
m
M+m
)
Statement - II: Maximum energy loss occurs when the particles get stuck together as a result of the collision.
[2013]
Q.190 Correct
Q.190 In-correct
Q.190 Unattempt
A projectile of mass M is fired so that the horizontal range is 4 km. At the highest point the projectile explodes in two parts of masses M/4 and 3M/4 respectively and the heavier part starts falling down vertically with zero initial speed. The horizontal range (distance from point of firing) of the lighter part is :
[Online April 23, 2013]
A projectile of mass M is fired so that the horizontal range is 4 km. At the highest point the projectile explodes in two parts of masses M/4 and 3M/4 respectively and the heavier part starts falling down vertically with zero initial speed. The horizontal range (distance from point of firing) of the lighter part is :
[Online April 23, 2013]
Q.191 Correct
Q.191 In-correct
Q.191 Unattempt
The force
→
F
=F
^
i
 on a particle of mass 2kg, moving along the x -axis is given in the figure as a function of its position x. The particle is moving with a velocity of 5m∕s along the x -axis at x=0. What is the kinetic energy of the particle at x=8m?
[Online May 26, 2012]
The force
→
F
=F
^
i
 on a particle of mass 2kg, moving along the x -axis is given in the figure as a function of its position x. The particle is moving with a velocity of 5m∕s along the x -axis at x=0. What is the kinetic energy of the particle at x=8m?

[Online May 26, 2012]
Q.192 Correct
Q.192 In-correct
Q.192 Unattempt
A particle gets displaced by Δ
→
r
=(2
^
i
+3
^
j
+4
^
k
)m under the action of a force
→
F
=(7
^
i
+4
^
j
+3
^
k
). The change in its kinetic energy is
[Online May 7, 2012]
A particle gets displaced by Δ
→
r
=(2
^
i
+3
^
j
+4
^
k
)m under the action of a force
→
F
=(7
^
i
+4
^
j
+3
^
k
). The change in its kinetic energy is
[Online May 7, 2012]
Q.193 Correct
Q.193 In-correct
Q.193 Unattempt
A moving particle of mass m, makes a head on elastic collision with another particle of mass 2m, which is initially at rest. The percentage loss in energy of the colliding particle on collision, is close to
[Online May 19, 2012]
A moving particle of mass m, makes a head on elastic collision with another particle of mass 2m, which is initially at rest. The percentage loss in energy of the colliding particle on collision, is close to
[Online May 19, 2012]
Q.194 Correct
Q.194 In-correct
Q.194 Unattempt
Two bodies A and B of mass m and 2m respectively are placed on a smooth floor. They are connected by a spring of negligible mass. A third body C of mass m is placed on the floor. The body C moves with a velocity v0 along the line joining A and B and collides elastically with A. At a certain time after the collision it is found that the instantaneous velocities of A and B are same and the compression of the spring is x0. The spring constant k will be
[Online May 12, 2012]
Two bodies A and B of mass m and 2m respectively are placed on a smooth floor. They are connected by a spring of negligible mass. A third body C of mass m is placed on the floor. The body C moves with a velocity v0 along the line joining A and B and collides elastically with A. At a certain time after the collision it is found that the instantaneous velocities of A and B are same and the compression of the spring is x0. The spring constant k will be
[Online May 12, 2012]
Q.195 Correct
Q.195 In-correct
Q.195 Unattempt
A projectile moving vertically upwards with a velocity of 200ms−1 breaks into two equal parts at a height of 490m. One part starts moving vertically upwards with a velocity of 400ms−1. How much time it will take, after the break up with the other part to hit the ground?
[Online May 12, 2012]
A projectile moving vertically upwards with a velocity of 200ms−1 breaks into two equal parts at a height of 490m. One part starts moving vertically upwards with a velocity of 400ms−1. How much time it will take, after the break up with the other part to hit the ground?
[Online May 12, 2012]
Q.196 Correct
Q.196 In-correct
Q.196 Unattempt
At time t=0 a particle starts moving along the x -axis. If its kinetic energy increases uniformly with time ' t ', the net force acting on it must be proportional to
[2011 RS]
At time t=0 a particle starts moving along the x -axis. If its kinetic energy increases uniformly with time ' t ', the net force acting on it must be proportional to
[2011 RS]
Q.197 Correct
Q.197 In-correct
Q.197 Unattempt
The potential energy function for the force between two atoms in a diatomic molecule is approximately given byU(x)=
a
x12
−
b
x6
, where a and b are constants and x is the distance between the atoms. If the dissociation energy of the molecule is
D=[U(x=∞)−Uat equilibrium ],D is
[2010]
The potential energy function for the force between two atoms in a diatomic molecule is approximately given byU(x)=
a
x12
−
b
x6
, where a and b are constants and x is the distance between the atoms. If the dissociation energy of the molecule is
D=[U(x=∞)−Uat equilibrium ],D is
[2010]
Q.198 Correct
Q.198 In-correct
Q.198 Unattempt
Statement -1: Two particles moving in the same direction do not lose all their energy in a completely inelastic collision.
Statement -2 : Principle of conservation of momentum holds true for all kinds of collisions.
[2010]
Statement -1: Two particles moving in the same direction do not lose all their energy in a completely inelastic collision.
Statement -2 : Principle of conservation of momentum holds true for all kinds of collisions.
[2010]
Q.199 Correct
Q.199 In-correct
Q.199 Unattempt
An athlete in the olympic games covers a distance of 100 m in 10s. His kinetic energy can be estimated to be in the range
[2008]
An athlete in the olympic games covers a distance of 100 m in 10s. His kinetic energy can be estimated to be in the range
[2008]
Q.200 Correct
Q.200 In-correct
Q.200 Unattempt
A block of mass 0.50 kg is moving with a speed of 2.00 ms‌–1 on a smooth surface. It strikes another mass of 1.00 kg and then they move together as a single body. The energy loss during the collision is
[2008]
A block of mass 0.50 kg is moving with a speed of 2.00 ms‌–1 on a smooth surface. It strikes another mass of 1.00 kg and then they move together as a single body. The energy loss during the collision is
[2008]
Q.201 Correct
Q.201 In-correct
Q.201 Unattempt
A 2 kg block slides on a horizontal floor with a speed of 4m/s. It strikes a uncompressed spring, and compresses it till the block is motionless. The kinetic friction force is 15N and spring constant is 10,000N∕m. The spring compresses by
[2007]
A 2 kg block slides on a horizontal floor with a speed of 4m/s. It strikes a uncompressed spring, and compresses it till the block is motionless. The kinetic friction force is 15N and spring constant is 10,000N∕m. The spring compresses by
[2007]
Q.202 Correct
Q.202 In-correct
Q.202 Unattempt
A particle is projected at 60° to the horizontal with a kinetic energy K. The kinetic energy at the highest point is
[2007]
A particle is projected at 60° to the horizontal with a kinetic energy K. The kinetic energy at the highest point is
[2007]
Q.203 Correct
Q.203 In-correct
Q.203 Unattempt
A particle of mass 100g is thrown vertically upwards with a speed of 5m∕s. The work done by the force of gravity during the time the particle goes up is
[2006]
A particle of mass 100g is thrown vertically upwards with a speed of 5m∕s. The work done by the force of gravity during the time the particle goes up is
[2006]
Q.204 Correct
Q.204 In-correct
Q.204 Unattempt
The potential energy of a 1kg particle free to move along the x -axis is given by V(x)=(
x4
4
−
x2
2
)J.
The total mechanical energy of the particle is 2J. Then, the maximum speed (in m∕s ) is
[2006]
The potential energy of a 1kg particle free to move along the x -axis is given by V(x)=(
x4
4
−
x2
2
)J.
The total mechanical energy of the particle is 2J. Then, the maximum speed (in m∕s ) is
[2006]
Q.205 Correct
Q.205 In-correct
Q.205 Unattempt
A mass of Mkg is suspended by a weightless string. The horizontal force that is required to displace it until the string makes an angle of 45° with the initial vertical direction is
[2006]
A mass of Mkg is suspended by a weightless string. The horizontal force that is required to displace it until the string makes an angle of 45° with the initial vertical direction is
[2006]
Q.206 Correct
Q.206 In-correct
Q.206 Unattempt
A bomb of mass 16kg at rest explodes into two pieces of masses 4kg and 12kg. The velocity of the 12kg mass is 4ms−1. The kinetic energy of the other mass is
[2006]
A bomb of mass 16kg at rest explodes into two pieces of masses 4kg and 12kg. The velocity of the 12kg mass is 4ms−1. The kinetic energy of the other mass is
[2006]
Q.207 Correct
Q.207 In-correct
Q.207 Unattempt
A spherical ball of mass 20 kg is stationary at the top of a hill of height 100 m. It rolls down a smooth surface to the ground, then climbs up another hill of height 30 m and finally rolls down to a horizontal base at a height of 20 m above the ground. The velocity attained by the ball is
[2005]
A spherical ball of mass 20 kg is stationary at the top of a hill of height 100 m. It rolls down a smooth surface to the ground, then climbs up another hill of height 30 m and finally rolls down to a horizontal base at a height of 20 m above the ground. The velocity attained by the ball is
[2005]
Q.208 Correct
Q.208 In-correct
Q.208 Unattempt
The block of mass M moving on the frictionless horizontal surface collides with the spring of spring constant k and compresses it by length L. The maximum momentum of the block after collision is

[2005]
The block of mass M moving on the frictionless horizontal surface collides with the spring of spring constant k and compresses it by length L. The maximum momentum of the block after collision is

[2005]
Q.209 Correct
Q.209 In-correct
Q.209 Unattempt
A mass 'm' moves with a velocity 'v' and collides inelastically with another identical mass. After collision the 1st mass moves with velocity
v
√3
 in a direction perpendicular to the initial direction of motion. Find the speed of the 2nd mass after collision.
[2005]
A mass 'm' moves with a velocity 'v' and collides inelastically with another identical mass. After collision the 1st mass moves with velocity
v
√3
 in a direction perpendicular to the initial direction of motion. Find the speed of the 2nd mass after collision.
[2005]
Q.210 Correct
Q.210 In-correct
Q.210 Unattempt
A uniform chain of length 2m is kept on a table such that a length of 60cm hangs freely from the edge of the table. The total mass of the chain is 4kg. What is the work done in pulling the entire chain on the table?
[2004]
A uniform chain of length 2m is kept on a table such that a length of 60cm hangs freely from the edge of the table. The total mass of the chain is 4kg. What is the work done in pulling the entire chain on the table?
[2004]
Q.211 Correct
Q.211 In-correct
Q.211 Unattempt
A force
→
F
=(5
→
i
+3
→
j
+2
→
k
)N is applied over a particle which displaces it from its origin to the point
→
r
=(2
→
i
−
→
j
)m . The work done on the particle in joules is
[2004]
A force
→
F
=(5
→
i
+3
→
j
+2
→
k
)N is applied over a particle which displaces it from its origin to the point
→
r
=(2
→
i
−
→
j
)m . The work done on the particle in joules is
[2004]
Q.212 Correct
Q.212 In-correct
Q.212 Unattempt
A particle moves in a straight line with retardation proportional to its displacement. Its loss of kinetic energy for any displacement x is proportional to
[2004]
A particle moves in a straight line with retardation proportional to its displacement. Its loss of kinetic energy for any displacement x is proportional to
[2004]
Q.213 Correct
Q.213 In-correct
Q.213 Unattempt
A particle is acted upon by a force of constant magnitude which is always perpendicular to the velocity of the particle, the motion of the particles takes place in a plane. It follows that
[2004]
A particle is acted upon by a force of constant magnitude which is always perpendicular to the velocity of the particle, the motion of the particles takes place in a plane. It follows that
[2004]
Q.214 Correct
Q.214 In-correct
Q.214 Unattempt
A body of mass ' m ', accelerates uniformly from rest to ' v1 ' in time ' t1 '. The instantaneous power delivered to the body as a function of time ' t ' is
[2004]
A body of mass ' m ', accelerates uniformly from rest to ' v1 ' in time ' t1 '. The instantaneous power delivered to the body as a function of time ' t ' is
[2004]
Q.215 Correct
Q.215 In-correct
Q.215 Unattempt
A spring of spring constant 5×103N∕m is stretched initially by 5cm from the unstretched position. Then the work required to stretch it further by another 5cm is
[2003]
A spring of spring constant 5×103N∕m is stretched initially by 5cm from the unstretched position. Then the work required to stretch it further by another 5cm is
[2003]
Q.216 Correct
Q.216 In-correct
Q.216 Unattempt
A wire suspended vertically from one of its ends is stretched by attaching a weight of 200N to the lower end.
The weight stretches the wire by 1 mm. Then the elastic energy stored in the wire is
[2003]
A wire suspended vertically from one of its ends is stretched by attaching a weight of 200N to the lower end.
The weight stretches the wire by 1 mm. Then the elastic energy stored in the wire is
[2003]
Q.217 Correct
Q.217 In-correct
Q.217 Unattempt
A body is moved along a straight line by a machine delivering a constant power. The distance moved by the body in time ' t ' is proportional to
[2003]
A body is moved along a straight line by a machine delivering a constant power. The distance moved by the body in time ' t ' is proportional to
[2003]
Q.218 Correct
Q.218 In-correct
Q.218 Unattempt
Consider the following two statements:
A. Linear momentum of a system of particles is zero
B. Kinetic energy of a system of particles is zero. Then
[2003]
Consider the following two statements:
A. Linear momentum of a system of particles is zero
B. Kinetic energy of a system of particles is zero. Then
[2003]
Q.219 Correct
Q.219 In-correct
Q.219 Unattempt
A spring of force constant 800N∕m has an extension of 5cm. The work done in extending it from 5cm to 15cm is
[2002]
A spring of force constant 800N∕m has an extension of 5cm. The work done in extending it from 5cm to 15cm is
[2002]
Q.220 Correct
Q.220 In-correct
Q.220 Unattempt
A ball whose kinetic energy is E, is projected at an angle of 45° to the horizontal. The kinetic energy of the ball at the highest point of its flight will be
[2002]
A ball whose kinetic energy is E, is projected at an angle of 45° to the horizontal. The kinetic energy of the ball at the highest point of its flight will be
[2002]
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