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

A balloon and its content having mass M is moving up with an acceleration ‘a’. The mass that must be released from the content so that the balloon starts moving up with an acceleration ‘3a’ will be

(Take ‘g’ as acceleration due to gravity)



JEE Main 2025 (Online) 28th January Evening Shift

A balloon and its content having mass M is moving up with an acceleration ‘a’. The mass that must be released from the content so that the balloon starts moving up with an acceleration ‘3a’ will be

(Take ‘g’ as acceleration due to gravity)



JEE Main 2025 (Online) 28th January Evening Shift
Q.2 Correct
Q.2 In-correct
Q.2 Unattempt

JEE Main 2025 (Online) 2nd April Evening Shift Physics - Laws of Motion Question 5 English

A body of mass 1 kg is suspended with the help of two strings making angles as shown in figure. Magnitudes of tensions $\mathrm{T}_1$ and $\mathrm{T}_2$, respectively, are (in N ) :

(Take acceleration due to gravity $10 \mathrm{~m} / \mathrm{s}^2$ )



JEE Main 2025 (Online) 2nd April Evening Shift

JEE Main 2025 (Online) 2nd April Evening Shift Physics - Laws of Motion Question 5 English

A body of mass 1 kg is suspended with the help of two strings making angles as shown in figure. Magnitudes of tensions $\mathrm{T}_1$ and $\mathrm{T}_2$, respectively, are (in N ) :

(Take acceleration due to gravity $10 \mathrm{~m} / \mathrm{s}^2$ )



JEE Main 2025 (Online) 2nd April Evening Shift
Q.3 Correct
Q.3 In-correct
Q.3 Unattempt

A block of mass 1 kg , moving along $x$ with speed $v_i=10 \mathrm{~m} / \mathrm{s}$ enters a rough region ranging from $x=0.1 \mathrm{~m}$ to $x=1.9 \mathrm{~m}$. The retarding force acting on the block in this range is $\mathrm{F}_{\mathrm{r}}=-\mathrm{kr} \mathrm{N}$, with k $=10 \mathrm{~N} / \mathrm{m}$. Then the final speed of the block as it crosses rough region is.



JEE Main 2025 (Online) 3rd April Evening Shift

A block of mass 1 kg , moving along $x$ with speed $v_i=10 \mathrm{~m} / \mathrm{s}$ enters a rough region ranging from $x=0.1 \mathrm{~m}$ to $x=1.9 \mathrm{~m}$. The retarding force acting on the block in this range is $\mathrm{F}_{\mathrm{r}}=-\mathrm{kr} \mathrm{N}$, with k $=10 \mathrm{~N} / \mathrm{m}$. Then the final speed of the block as it crosses rough region is.



JEE Main 2025 (Online) 3rd April Evening Shift
Q.4 Correct
Q.4 In-correct
Q.4 Unattempt

A body of mass $m$ is suspended by two strings making angles $\theta_1$ and $\theta_2$ with the horizontal ceiling with tensions $T_1$ and $T_2$ simultaneously. $T_1$ and $T_2$ are related by $T_1=\sqrt{3} T_2$, the angles $\theta_1$ and $\theta_2$ are



JEE Main 2025 (Online) 4th April Morning Shift

A body of mass $m$ is suspended by two strings making angles $\theta_1$ and $\theta_2$ with the horizontal ceiling with tensions $T_1$ and $T_2$ simultaneously. $T_1$ and $T_2$ are related by $T_1=\sqrt{3} T_2$, the angles $\theta_1$ and $\theta_2$ are



JEE Main 2025 (Online) 4th April Morning Shift
Q.5 Correct
Q.5 In-correct
Q.5 Unattempt

A cubic block of mass $m$ is sliding down on an inclined plane at $60^{\circ}$ with an acceleration of $\frac{g}{2}$, the value of coefficient of kinetic friction is



JEE Main 2025 (Online) 7th April Morning Shift

A cubic block of mass $m$ is sliding down on an inclined plane at $60^{\circ}$ with an acceleration of $\frac{g}{2}$, the value of coefficient of kinetic friction is



JEE Main 2025 (Online) 7th April Morning Shift
Q.6 Correct
Q.6 In-correct
Q.6 Unattempt

An object with mass 500 g moves along x-axis with speed $v = 4\sqrt{x}$ m/s. The force acting on the object is :



JEE Main 2025 (Online) 7th April Evening Shift

An object with mass 500 g moves along x-axis with speed $v = 4\sqrt{x}$ m/s. The force acting on the object is :



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

A body of mass 2 kg moving with velocity of $ \vec{v}_{in} = 3 \hat{i} + 4 \hat{j} \text{ ms}^{-1} $ enters into a constant force field of 6N directed along positive z-axis. If the body remains in the field for a period of $ \frac{5}{3} $ seconds, then velocity of the body when it emerges from force field is.



JEE Main 2025 (Online) 8th April Evening Shift

A body of mass 2 kg moving with velocity of $ \vec{v}_{in} = 3 \hat{i} + 4 \hat{j} \text{ ms}^{-1} $ enters into a constant force field of 6N directed along positive z-axis. If the body remains in the field for a period of $ \frac{5}{3} $ seconds, then velocity of the body when it emerges from force field is.



JEE Main 2025 (Online) 8th April Evening Shift
Q.8 Correct
Q.8 In-correct
Q.8 Unattempt

A body of mass 1000kg is moving horizontally with a velocity 6m∕ s. If 200kg extra mass is added, the final velocity (in m∕ s ) is:

[27-Jan-2024 Shift 1]

A body of mass 1000kg is moving horizontally with a velocity 6m∕ s. If 200kg extra mass is added, the final velocity (in m∕ s ) is:

[27-Jan-2024 Shift 1]
Q.9 Correct
Q.9 In-correct
Q.9 Unattempt

A train is moving with a speed of 12m∕ s on rails which are 1.5m apart. To negotiate a curve radius 400m, the height by which the outer rail should be raised with respect to the inner rail is (Given, g = 10m∕ s2):

[27-Jan-2024 Shift 1]

A train is moving with a speed of 12m∕ s on rails which are 1.5m apart. To negotiate a curve radius 400m, the height by which the outer rail should be raised with respect to the inner rail is (Given, g = 10m∕ s2):

[27-Jan-2024 Shift 1]
Q.10 Correct
Q.10 In-correct
Q.10 Unattempt

A heavy iron bar of weight 12kg is having its one end on the ground and the other on the shoulder of a man. The rod makes an angle 60∘ with the horizontal, the weight experienced by the man is :

[27-Jan-2024 Shift 2]

A heavy iron bar of weight 12kg is having its one end on the ground and the other on the shoulder of a man. The rod makes an angle 60∘ with the horizontal, the weight experienced by the man is :

[27-Jan-2024 Shift 2]
Q.11 Correct
Q.11 In-correct
Q.11 Unattempt

Given below are two statements :

Statement (I) : The limiting force of static friction depends on the area of contact and independent of materials.
Statement (II) : The limiting force of kinetic friction is independent of the area of contact and depends on materials.
In the light of the above statements, choose the most appropriate answer from the options given below :

[27-Jan-2024 Shift 2]

Given below are two statements :

Statement (I) : The limiting force of static friction depends on the area of contact and independent of materials.
Statement (II) : The limiting force of kinetic friction is independent of the area of contact and depends on materials.
In the light of the above statements, choose the most appropriate answer from the options given below :

[27-Jan-2024 Shift 2]
Q.12 Correct
Q.12 In-correct
Q.12 Unattempt

A stone of mass 900g is tied to a string and moved in a vertical circle of radius 1m making 10rpm. The tension in the string, when the stone is at the lowest point is (if π2 = 9.8 and g = 9.8m∕ s2)

[29-Jan-2024 Shift 2]

A stone of mass 900g is tied to a string and moved in a vertical circle of radius 1m making 10rpm. The tension in the string, when the stone is at the lowest point is (if π2 = 9.8 and g = 9.8m∕ s2)

[29-Jan-2024 Shift 2]
Q.13 Correct
Q.13 In-correct
Q.13 Unattempt

All surfaces shown in figure are assumed to be frictionless and the pulleys and the string are light. The acceleration of the block of mass 2kg is :

[30-Jan-2024 Shift 1]

All surfaces shown in figure are assumed to be frictionless and the pulleys and the string are light. The acceleration of the block of mass 2kg is :

[30-Jan-2024 Shift 1]
Q.14 Correct
Q.14 In-correct
Q.14 Unattempt

A block of mass 1kg is pushed up a surface inclined to horizontal at an angle of 60∘ by a force of 10N parallel to the inclined surface as shown in figure. When the block is pushed up by 10m along inclined surface, the work done against frictional force is : [g = 10m∕ s2]

[30-Jan-2024 Shift 2]

A block of mass 1kg is pushed up a surface inclined to horizontal at an angle of 60∘ by a force of 10N parallel to the inclined surface as shown in figure. When the block is pushed up by 10m along inclined surface, the work done against frictional force is : [g = 10m∕ s2]

[30-Jan-2024 Shift 2]
Q.15 Correct
Q.15 In-correct
Q.15 Unattempt

Three blocks A, B and C are pulled on a horizontal smooth surface by a force of 80N as shown in figure

The tensions T1 and T2 in the string are respectively:

[30-Jan-2024 Shift 2]

Three blocks A, B and C are pulled on a horizontal smooth surface by a force of 80N as shown in figure

The tensions T1 and T2 in the string are respectively:

[30-Jan-2024 Shift 2]
Q.16 Correct
Q.16 In-correct
Q.16 Unattempt

A block of mass m is placed on a surface having vertical cross section given by y = x2∕4. If coefficient of friction is 0.5 , the maximum height above the ground at which block can be placed without slipping is:

[30-Jan-2024 Shift 2]

A block of mass m is placed on a surface having vertical cross section given by y = x2∕4. If coefficient of friction is 0.5 , the maximum height above the ground at which block can be placed without slipping is:

[30-Jan-2024 Shift 2]
Q.17 Correct
Q.17 In-correct
Q.17 Unattempt

In the given arrangement of a doubly inclined plane two blocks of masses M and m are placed. The blocks are connected by a light string passing over an ideal pulley as shown. The coefficient of friction between the surface of the plane and the blocks is 0.25 . The value of m, for which M = 10 kg will move down with an acceleration of 2m∕s2, is : (. take g=10m∕s2 and tan37∘ = 3∕4)

[31-Jan-2024 Shift 1]

In the given arrangement of a doubly inclined plane two blocks of masses M and m are placed. The blocks are connected by a light string passing over an ideal pulley as shown. The coefficient of friction between the surface of the plane and the blocks is 0.25 . The value of m, for which M = 10 kg will move down with an acceleration of 2m∕s2, is : (. take g=10m∕s2 and tan37∘ = 3∕4)

[31-Jan-2024 Shift 1]
Q.18 Correct
Q.18 In-correct
Q.18 Unattempt

A coin is placed on a disc. The coefficient of friction between the coin and the disc is µ. If the distance of the coin from the center of the disc is r, the maximum angular velocity which can be given to the disc, so that the coin does not slip away, is :

[31-Jan-2024 Shift 1]

A coin is placed on a disc. The coefficient of friction between the coin and the disc is µ. If the distance of the coin from the center of the disc is r, the maximum angular velocity which can be given to the disc, so that the coin does not slip away, is :

[31-Jan-2024 Shift 1]
Q.19 Correct
Q.19 In-correct
Q.19 Unattempt

A light string passing over a smooth light fixed pulley connects two blocks of masses m1 and m2. If the acceleration of the system is g∕8, then the ratio of masses is

[31-Jan-2024 Shift 2]

A light string passing over a smooth light fixed pulley connects two blocks of masses m1 and m2. If the acceleration of the system is g∕8, then the ratio of masses is

[31-Jan-2024 Shift 2]
Q.20 Correct
Q.20 In-correct
Q.20 Unattempt

A block of mass 5kg is placed on a rough inclined surface as shown in the figure.

If  is the force required to just move the block up the inclined plane and  is the force required to just prevent the block from sliding down, then the value of  is : [Use g=10m∕ s2]

[31-Jan-2024 Shift 2]

A block of mass 5kg is placed on a rough inclined surface as shown in the figure.

If  is the force required to just move the block up the inclined plane and  is the force required to just prevent the block from sliding down, then the value of  is : [Use g=10m∕ s2]

[31-Jan-2024 Shift 2]
Q.21 Correct
Q.21 In-correct
Q.21 Unattempt

Consider a block and trolley system as shown in figure. If the coefficient of kinetic friction between the trolley and the surface is 0.04 , the acceleration of the system in ms−2 is :

(Consider that the string is massless and unstretchable and the pulley is also massless and frictionless) :

[1-Feb-2024 Shift 1]

Consider a block and trolley system as shown in figure. If the coefficient of kinetic friction between the trolley and the surface is 0.04 , the acceleration of the system in ms−2 is :

(Consider that the string is massless and unstretchable and the pulley is also massless and frictionless) :

[1-Feb-2024 Shift 1]
Q.22 Correct
Q.22 In-correct
Q.22 Unattempt

A body of mass 4 kg experiences two forces  The acceleration acting on the body is :

[1-Feb-2024 Shift 2]

A body of mass 4 kg experiences two forces  The acceleration acting on the body is :

[1-Feb-2024 Shift 2]
Q.23 Correct
Q.23 In-correct
Q.23 Unattempt

A cricket player catches a ball of mass 120g moving with 25m∕ s speed. If the catching process is completed in 0.1 s then the magnitude of force exerted by the ball on the hand of player will be (in SI unit):

[1-Feb-2024 Shift 2]

A cricket player catches a ball of mass 120g moving with 25m∕ s speed. If the catching process is completed in 0.1 s then the magnitude of force exerted by the ball on the hand of player will be (in SI unit):

[1-Feb-2024 Shift 2]
Q.24 Correct
Q.24 In-correct
Q.24 Unattempt
As per given figure, a weightless pulley P is attached on a double inclined frictionless surface. The tension in the string (massless) will be (if g= 10m∕ s2 )

[24-Jan-2023 Shift 1]
As per given figure, a weightless pulley P is attached on a double inclined frictionless surface. The tension in the string (massless) will be (if g= 10m∕ s2 )

[24-Jan-2023 Shift 1]
Q.25 Correct
Q.25 In-correct
Q.25 Unattempt
Given below are two statements :
Statement-I : An elevator can go up or down with uniform speed when its weight is balanced with the tension of its cable.
Statement-II : Force exerted by the floor of an elevator on the foot of a person standing on it is more than his/her weight when the elevator goes down with increasing speed.
In the light of the above statements, choose the correct answer from the options given below :
[24-Jan-2023 Shift 1]
Given below are two statements :
Statement-I : An elevator can go up or down with uniform speed when its weight is balanced with the tension of its cable.
Statement-II : Force exerted by the floor of an elevator on the foot of a person standing on it is more than his/her weight when the elevator goes down with increasing speed.
In the light of the above statements, choose the correct answer from the options given below :
[24-Jan-2023 Shift 1]
Q.26 Correct
Q.26 In-correct
Q.26 Unattempt
Consider a block kept on an inclined plane (inclined at 45∘ ) as shown in the figure. If the force required to just push it up the incline is 2 times the force required to just prevent it from sliding down, the coefficient of friction between the block and inclined plane (µ) is equal to :

[25-Jan-2023 Shift 2]
Consider a block kept on an inclined plane (inclined at 45∘ ) as shown in the figure. If the force required to just push it up the incline is 2 times the force required to just prevent it from sliding down, the coefficient of friction between the block and inclined plane (µ) is equal to :

 [25-Jan-2023 Shift 2]
Q.27 Correct
Q.27 In-correct
Q.27 Unattempt
A block of mass m slides down the plane inclined at angle 30∘ with an acceleration ‌
g
4
. The value of coefficient of kinetic friction will be :
[29-Jan-2023 Shift 1]
A block of mass m slides down the plane inclined at angle 30∘ with an acceleration ‌
g
4
. The value of coefficient of kinetic friction will be :
[29-Jan-2023 Shift 1]
Q.28 Correct
Q.28 In-correct
Q.28 Unattempt
Force acts for 20 s on a body of mass 20‌kg, starting from rest, after which the force ceases and then body describes 50m in the next 10 s. The value of force will be :
[29-Jan-2023 Shift 2]
Force acts for 20 s on a body of mass 20‌kg, starting from rest, after which the force ceases and then body describes 50m in the next 10 s. The value of force will be :
[29-Jan-2023 Shift 2]
Q.29 Correct
Q.29 In-correct
Q.29 Unattempt
The time taken by an object to slide down 45∘ rough inclined plane is n times as it takes to slide down a perfectly smooth 45∘ incline plane. The coefficient of kinetic friction between the object and the incline plane is
[29-Jan-2023 Shift 2]
The time taken by an object to slide down 45∘ rough inclined plane is n times as it takes to slide down a perfectly smooth 45∘ incline plane. The coefficient of kinetic friction between the object and the incline plane is
[29-Jan-2023 Shift 2]
Q.30 Correct
Q.30 In-correct
Q.30 Unattempt
The figure represents the momentum time (p−t) curve for a particle moving along an axis under the influence of the force. Identify the regions on the graph where the magnitude of the force is maximum and minimum respectively ?
If (t3−t2)<t1.

[30-Jan-2023 Shift 1]
The figure represents the momentum time (p−t) curve for a particle moving along an axis under the influence of the force. Identify the regions on the graph where the magnitude of the force is maximum and minimum respectively ?
If (t3−t2)<t1.

[30-Jan-2023 Shift 1]
Q.31 Correct
Q.31 In-correct
Q.31 Unattempt
A block of √3‌kg is attached to a string whose other end is attached to the wall. An unknown force F is applied so that the string makes an angle of 30∘ with the wall. The tension T is :
(. Given g=10ms−2)

[30-Jan-2023 Shift 2]
A block of √3‌kg is attached to a string whose other end is attached to the wall. An unknown force F is applied so that the string makes an angle of 30∘ with the wall. The tension T is :
(. Given g=10ms−2)

[30-Jan-2023 Shift 2]
Q.32 Correct
Q.32 In-correct
Q.32 Unattempt
A stone tied to 180‌cm long string at its end is making 28 revolutions in horizontal circle in every minute. The magnitude of acceleration of stone is ‌
1936
x
ms−2. The value of x ________.
(‌ Take ‌π=‌
22
7
)
[30-Jan-2023 Shift 2]
A stone tied to 180‌cm long string at its end is making 28 revolutions in horizontal circle in every minute. The magnitude of acceleration of stone is ‌
1936
x
ms−2. The value of x ________.
(‌ Take ‌π=‌
22
7
)
[30-Jan-2023 Shift 2]
Q.33 Correct
Q.33 In-correct
Q.33 Unattempt
As shown in figure, a 70‌kg garden roller is pushed with a force of
→
F
=200N at an angle of 30∘ with horizontal. The normal reaction on the roller is
(Given g=10m s−2 )

[31-Jan-2023 Shift 1]
As shown in figure, a 70‌kg garden roller is pushed with a force of
→
F
=200N at an angle of 30∘ with horizontal. The normal reaction on the roller is
(Given g=10m s−2 )

[31-Jan-2023 Shift 1]
Q.34 Correct
Q.34 In-correct
Q.34 Unattempt
A lift of mass M=500‌kg is descending with speed of 2ms−1. Its supporting cable begins to slip thus allowing it to fall with a constant acceleration of 2ms−2. The kinetic energy of the lift at the end of fall through to a distance of 6m will be _______ kJ.
[31-Jan-2023 Shift 1]
A lift of mass M=500‌kg is descending with speed of 2ms−1. Its supporting cable begins to slip thus allowing it to fall with a constant acceleration of 2ms−2. The kinetic energy of the lift at the end of fall through to a distance of 6m will be _______ kJ.
[31-Jan-2023 Shift 1]
Q.35 Correct
Q.35 In-correct
Q.35 Unattempt
A stone of mass 1‌kg is tied to end of a massless string of length 1m. If the breaking tension of the string is 400N, then maximum linear velocity, the stone can have without breaking the string, while rotating in horizontal plane, is:
[31-Jan-2023 Shift 2]
A stone of mass 1‌kg is tied to end of a massless string of length 1m. If the breaking tension of the string is 400N, then maximum linear velocity, the stone can have without breaking the string, while rotating in horizontal plane, is:
[31-Jan-2023 Shift 2]
Q.36 Correct
Q.36 In-correct
Q.36 Unattempt
A body of mass 10‌kg is moving with an initial speed of 20m∕ s. The body stops after 5 s due to friction between body and the floor. The value of the coefficient of friction is: (Take acceleration due to gravity g=10ms−2 )
[31-Jan-2023 Shift 2]
A body of mass 10‌kg is moving with an initial speed of 20m∕ s. The body stops after 5 s due to friction between body and the floor. The value of the coefficient of friction is: (Take acceleration due to gravity g=10ms−2 )
[31-Jan-2023 Shift 2]
Q.37 Correct
Q.37 In-correct
Q.37 Unattempt
A block of mass 5‌kg is placed at rest on a table of rough surface. Now, if a force of 30N is applied in the direction parallel to surface of the table, the block slides through a distance of 50m in an interval of time 10 s. Coefficient of kinetic friction is (given, g=10ms−2 ):
[1-Feb-2023 Shift 1]
A block of mass 5‌kg is placed at rest on a table of rough surface. Now, if a force of 30N is applied in the direction parallel to surface of the table, the block slides through a distance of 50m in an interval of time 10 s. Coefficient of kinetic friction is (given, g=10ms−2 ):
[1-Feb-2023 Shift 1]
Q.38 Correct
Q.38 In-correct
Q.38 Unattempt
As shown in the figure a block of mass 10‌kg lying on a horizontal surface is pulled by a force F acting at an angle 30∘, with horizontal. For µ5=0.25, the block will just start to move for the value of F : [Given g=10ms−2 ]

[1-Feb-2023 Shift 2]
As shown in the figure a block of mass 10‌kg lying on a horizontal surface is pulled by a force F acting at an angle 30∘, with horizontal. For µ5=0.25, the block will just start to move for the value of F : [Given g=10ms−2 ]

[1-Feb-2023 Shift 2]
Q.39 Correct
Q.39 In-correct
Q.39 Unattempt
A mass m is attached to two strings as shown in figure. The spring constants of two springs are K1 and K2. For the frictionless surface, the time period of oscillation of mass m is

[6-Apr-2023 shift 1]
A mass m is attached to two strings as shown in figure. The spring constants of two springs are K1 and K2. For the frictionless surface, the time period of oscillation of mass m is

[6-Apr-2023 shift 1]
Q.40 Correct
Q.40 In-correct
Q.40 Unattempt
A small block of mass 100g is tied to a spring of spring constant 7.5N∕m and length 20‌cm. The other end of spring is fixed at a particular point A. If the block moves in a circular path on a smooth horizontal surface with constant angular velocity 5‌rad∕ s about point A, then tension in the spring is -
[6-Apr-2023 shift 1]
A small block of mass 100g is tied to a spring of spring constant 7.5N∕m and length 20‌cm. The other end of spring is fixed at a particular point A. If the block moves in a circular path on a smooth horizontal surface with constant angular velocity 5‌rad∕ s about point A, then tension in the spring is -
[6-Apr-2023 shift 1]
Q.41 Correct
Q.41 In-correct
Q.41 Unattempt
At any instant the velocity of a particle of mass 500g is (2t
^
i
+3t2
^
j
)ms−1. If the force acting on the particle at t=1 s is (
^
i
+x
^
j
)N. Then the value of x will be:
[8-Apr-2023 shift 1]
At any instant the velocity of a particle of mass 500g is (2t
^
i
+3t2
^
j
)ms−1. If the force acting on the particle at t=1 s is (
^
i
+x
^
j
)N. Then the value of x will be:
[8-Apr-2023 shift 1]
Q.42 Correct
Q.42 In-correct
Q.42 Unattempt
Given below are two statements : one is labelled as Assertion A and then other is labelled as Reason R
Assertion A : An electric fan continues to rotate for some time after the current is switched off.
Reason R : Fan continues to rotate due to inertia of motion.
In the light of above statements, choose the most appropriate answer from the options given below.
[10-Apr-2023 shift 2]
Given below are two statements : one is labelled as Assertion A and then other is labelled as Reason R
Assertion A : An electric fan continues to rotate for some time after the current is switched off.
Reason R : Fan continues to rotate due to inertia of motion.
In the light of above statements, choose the most appropriate answer from the options given below.
[10-Apr-2023 shift 2]
Q.43 Correct
Q.43 In-correct
Q.43 Unattempt
A coin placed on a rotating table just slips when it is placed at a distance of 1‌cm from the center. If the angular velocity of the table in halved, it will just slip when placed at a distance of _______ from the centre :
[11-Apr-2023 shift 1]
A coin placed on a rotating table just slips when it is placed at a distance of 1‌cm from the center. If the angular velocity of the table in halved, it will just slip when placed at a distance of _______ from the centre :
[11-Apr-2023 shift 1]
Q.44 Correct
Q.44 In-correct
Q.44 Unattempt
A body of mass 500g moves along x-axis such that it's velocity varies with displacement x according to the relation v=10√xm∕ s the force acting on the body is:-
[11-Apr-2023 shift 2]
A body of mass 500g moves along x-axis such that it's velocity varies with displacement x according to the relation v=10√xm∕ s the force acting on the body is:-
[11-Apr-2023 shift 2]
Q.45 Correct
Q.45 In-correct
Q.45 Unattempt
The position vector of a particle related to time t is given by
→
r
=(10t
^
i
+15t2
^
j
+7
^
k
)m
The direction of net force experienced by the particle is :
[15-Apr-2023 shift 1]
The position vector of a particle related to time t is given by
→
r
=(10t
^
i
+15t2
^
j
+7
^
k
)m
The direction of net force experienced by the particle is :
[15-Apr-2023 shift 1]
Q.46 Correct
Q.46 In-correct
Q.46 Unattempt
A uniform chain of 6m length is placed on a table such that a part of its length is hanging over the edge of the table. The system is at rest. The co-efficient of static friction between the chain and the surface of the table is 0.5, the maximum length of the chain hanging from the table is_____ m.
[25-Jun-2022-Shift-1]
A uniform chain of 6m length is placed on a table such that a part of its length is hanging over the edge of the table. The system is at rest. The co-efficient of static friction between the chain and the surface of the table is 0.5, the maximum length of the chain hanging from the table is_____ m.
[25-Jun-2022-Shift-1]
Q.47 Correct
Q.47 In-correct
Q.47 Unattempt
A force on an object of mass 100g is (10
∧
i
+5
∧
j
)N. The position of that object at t=2s is (a
∧
i
+b
∧
j
)m after starting from rest. The value of ‌
a
b
 will be_____
[25-Jun-2022-Shift-1]
A force on an object of mass 100g is (10
∧
i
+5
∧
j
)N. The position of that object at t=2s is (a
∧
i
+b
∧
j
)m after starting from rest. The value of ‌
a
b
 will be_____
[25-Jun-2022-Shift-1]
Q.48 Correct
Q.48 In-correct
Q.48 Unattempt
A disc with a flat small bottom beaker placed on it at a distance R from its center is revolving about an axis passing through the center and perpendicular to its plane with an angular velocity ω. The coefficient of static friction between the bottom of the beaker and the surface of the disc is µ. The beaker will revolve with the disc if :
[25-Jun-2022-Shift-2]
A disc with a flat small bottom beaker placed on it at a distance R from its center is revolving about an axis passing through the center and perpendicular to its plane with an angular velocity ω. The coefficient of static friction between the bottom of the beaker and the surface of the disc is µ. The beaker will revolve with the disc if :
[25-Jun-2022-Shift-2]
Q.49 Correct
Q.49 In-correct
Q.49 Unattempt
A curved in a level road has a radius 75m. The maximum speed of a car turning this curved road can be 30m∕s without skidding. If radius of curved road is changed to 48m and the coefficient of friction between the tyres and the road remains same, then maximum allowed speed would be ____m∕s
[25-Jun-2022-Shift-2]
A curved in a level road has a radius 75m. The maximum speed of a car turning this curved road can be 30m∕s without skidding. If radius of curved road is changed to 48m and the coefficient of friction between the tyres and the road remains same, then maximum allowed speed would be ____m∕s
[25-Jun-2022-Shift-2]
Q.50 Correct
Q.50 In-correct
Q.50 Unattempt
A block of mass 200g is kept stationary on a smooth inclined plane by applying a minimum horizontal force F= √xN as shown in figure.
The value of x=
[25-Jun-2022-Shift-2]
A block of mass 200g is kept stationary on a smooth inclined plane by applying a minimum horizontal force F= √xN as shown in figure.

The value of x=
[25-Jun-2022-Shift-2]
Q.51 Correct
Q.51 In-correct
Q.51 Unattempt
A ball is released from rest from point P of a smooth semi-spherical vessel as shown in figure. The ratio of the centripetal force and normal reaction on the ball at point Q is A while angular position of point Q is α with respect to point P. Which of the following graphs represent the correct relation between A and α when ball goes from Q to R ?

[26-Jun-2022-Shift-1]
A ball is released from rest from point P of a smooth semi-spherical vessel as shown in figure. The ratio of the centripetal force and normal reaction on the ball at point Q is A while angular position of point Q is α with respect to point P. Which of the following graphs represent the correct relation between A and α when ball goes from Q to R ?

[26-Jun-2022-Shift-1]
Q.52 Correct
Q.52 In-correct
Q.52 Unattempt
In the arrangement shown in figure a1,a2,a3 and a4 are the accelerations of masses m1,m2,m3 and m4 respectively. Which of the following relation is true for this arrangement?

[26-Jun-2022-Shift-2]
In the arrangement shown in figure a1,a2,a3 and a4 are the accelerations of masses m1,m2,m3 and m4 respectively. Which of the following relation is true for this arrangement?

[26-Jun-2022-Shift-2]
Q.53 Correct
Q.53 In-correct
Q.53 Unattempt
A system to 10 balls each of mass 2‌kg are connected via massless and unstretchable string. The system is allowed to slip over the edge of a smooth table as shown in figure. Tension on the string between the 7‌th ‌ and 8‌th ‌ ball is ____N when 6‌th ‌ ball just leaves the table.

[26-Jun-2022-Shift-2]
A system to 10 balls each of mass 2‌kg are connected via massless and unstretchable string. The system is allowed to slip over the edge of a smooth table as shown in figure. Tension on the string between the 7‌th ‌ and 8‌th ‌ ball is ____N when 6‌th ‌ ball just leaves the table.

[26-Jun-2022-Shift-2]
Q.54 Correct
Q.54 In-correct
Q.54 Unattempt
A system of two blocks of masses m=2‌kg and M=8‌kg is placed on a smooth table as shown in figure. The coefficient of static friction between two blocks is 0.5. The maximum horizontal force F that can be applied to the block of mass M so that the blocks move together will be :

[27-Jun-2022-Shift-1]
A system of two blocks of masses m=2‌kg and M=8‌kg is placed on a smooth table as shown in figure. The coefficient of static friction between two blocks is 0.5. The maximum horizontal force F that can be applied to the block of mass M so that the blocks move together will be :

[27-Jun-2022-Shift-1]
Q.55 Correct
Q.55 In-correct
Q.55 Unattempt
One end of a massless spring of spring constant k and natural length I0 is fixed while the other end is connected to a small object of mass m lying on a frictionless table. The spring remains horizontal on the table. If the object is made to rotate at an angular velocity ω about an axis passing through fixed end, then the elongation of the spring will be :
[27-Jun-2022-Shift-2]
One end of a massless spring of spring constant k and natural length I0 is fixed while the other end is connected to a small object of mass m lying on a frictionless table. The spring remains horizontal on the table. If the object is made to rotate at an angular velocity ω about an axis passing through fixed end, then the elongation of the spring will be :
[27-Jun-2022-Shift-2]
Q.56 Correct
Q.56 In-correct
Q.56 Unattempt
A mass of 10‌kg is suspended vertically by a rope of length 5m from the roof. A force of 30N is applied at the middle point of rope in horizontal direction. The angle made by upper half of the rope with vertical is θ=tan−1(x×10−1). The value of x is____(Given, g=10m∕s2 )
[27-Jun-2022-Shift-2]
A mass of 10‌kg is suspended vertically by a rope of length 5m from the roof. A force of 30N is applied at the middle point of rope in horizontal direction. The angle made by upper half of the rope with vertical is θ=tan−1(x×10−1). The value of x is____(Given, g=10m∕s2 )
[27-Jun-2022-Shift-2]
Q.57 Correct
Q.57 In-correct
Q.57 Unattempt
A hanging mass M is connected to a four times bigger mass by using a string-pulley arrangement, as shown in the figure. The bigger mass is placed on a horizontal ice-slab and being pulled by 2‌Mg force. ln this situation, tension in the string is ‌
x
5
‌Mg for x= ____. Neglect mass of the string and friction of the block (bigger mass) with ice slab.
(Given g= acceleration due to gravity)

[28-Jun-2022-Shift-1]
A hanging mass M is connected to a four times bigger mass by using a string-pulley arrangement, as shown in the figure. The bigger mass is placed on a horizontal ice-slab and being pulled by 2‌Mg force. ln this situation, tension in the string is ‌
x
5
‌Mg for x= ____. Neglect mass of the string and friction of the block (bigger mass) with ice slab.
(Given g= acceleration due to gravity)

[28-Jun-2022-Shift-1]
Q.58 Correct
Q.58 In-correct
Q.58 Unattempt
A block of mass 2‌kg moving on a horizontal surface with speed of 4ms−1 enters a rough surface ranging from x=0.5m to x=1.5m. The retarding force in this range of rough surface is related to distance by F=−kx where k=12‌Nm. The speed of the block as it just crosses the rough surface will be :
[28-Jun-2022-Shift-2]
A block of mass 2‌kg moving on a horizontal surface with speed of 4ms−1 enters a rough surface ranging from x=0.5m to x=1.5m. The retarding force in this range of rough surface is related to distance by F=−kx where k=12‌Nm. The speed of the block as it just crosses the rough surface will be :
[28-Jun-2022-Shift-2]
Q.59 Correct
Q.59 In-correct
Q.59 Unattempt
A wire of length L is hanging from a fixed support. The length changes to L1 and L2 when masses 1‌kg and 2‌kg are suspended respectively from its free end. Then the value of L is equal to :
[29-Jun-2022-Shift-1]
A wire of length L is hanging from a fixed support. The length changes to L1 and L2 when masses 1‌kg and 2‌kg are suspended respectively from its free end. Then the value of L is equal to :
[29-Jun-2022-Shift-1]
Q.60 Correct
Q.60 In-correct
Q.60 Unattempt
A block of metal weighing 2‌kg is resting on a frictionless plane (as shown in figure). It is struck by a jet releasing water at a rate of 1kgs−1 and at a speed of 10ms−1. Then, the initial acceleration of the block, in ms−2, will be :

[29-Jun-2022-Shift-1]
A block of metal weighing 2‌kg is resting on a frictionless plane (as shown in figure). It is struck by a jet releasing water at a rate of 1kgs−1 and at a speed of 10ms−1. Then, the initial acceleration of the block, in ms−2, will be :

[29-Jun-2022-Shift-1]
Q.61 Correct
Q.61 In-correct
Q.61 Unattempt
A block of mass 40‌kg slides over a surface, when a mass of 4‌kg is suspended through an inextensible massless string passing over frictionless pulley as shown below.
The coefficient of kinetic friction between the surface and block is 0.02. The acceleration of block is. (Given g=10ms−2.)
[29-Jun-2022-Shift-2]
A block of mass 40‌kg slides over a surface, when a mass of 4‌kg is suspended through an inextensible massless string passing over frictionless pulley as shown below.

The coefficient of kinetic friction between the surface and block is 0.02. The acceleration of block is. (Given g=10ms−2.)
[29-Jun-2022-Shift-2]
Q.62 Correct
Q.62 In-correct
Q.62 Unattempt
A block of mass M placed inside a box descends vertically with acceleration 'a'. The block exerts a force equal to one-fourth of its weight on the floor of the box. The value of 'a' will be
[29-Jun-2022-Shift-2]
A block of mass M placed inside a box descends vertically with acceleration 'a'. The block exerts a force equal to one-fourth of its weight on the floor of the box. The value of 'a' will be
[29-Jun-2022-Shift-2]
Q.63 Correct
Q.63 In-correct
Q.63 Unattempt
Four forces are acting at a point P in equilibrium as shown in figure. The ratio of force F1 to F2 is 1:x where x=

[25-Jul-2022-Shift-1]
Four forces are acting at a point P in equilibrium as shown in figure. The ratio of force F1 to F2 is 1:x where x=

[25-Jul-2022-Shift-1]
Q.64 Correct
Q.64 In-correct
Q.64 Unattempt
For a free body diagram shown in the figure, the four forces are applied in the ' x ' and ' y ' directions. What additional force must be applied and at what angle with positive x-axis so that the net acceleration of body is zero?

[25-Jul-2022-Shift-2]
For a free body diagram shown in the figure, the four forces are applied in the ' x ' and ' y ' directions. What additional force must be applied and at what angle with positive x-axis so that the net acceleration of body is zero?

[25-Jul-2022-Shift-2]
Q.65 Correct
Q.65 In-correct
Q.65 Unattempt
Three masses M=100‌kg,m1=10‌kg and m2=20‌kg are arranged in a system as shown in figure. All the surfaces are frictionless and strings are inextensible and weightless. The pulleys are also weightless and frictionless. A force F is applied on the system so that the mass m2 moves upward with an acceleration of 2ms−2. The value of F is :
(. Take .g=10ms−2)

[26-Jul-2022-Shift-1]
Three masses M=100‌kg,m1=10‌kg and m2=20‌kg are arranged in a system as shown in figure. All the surfaces are frictionless and strings are inextensible and weightless. The pulleys are also weightless and frictionless. A force F is applied on the system so that the mass m2 moves upward with an acceleration of 2ms−2. The value of F is :
(. Take .g=10ms−2)

[26-Jul-2022-Shift-1]
Q.66 Correct
Q.66 In-correct
Q.66 Unattempt
A monkey of mass 50‌kg climbs on a rope which can withstand the tension (T) of 350N. If monkey initially climbs down with an acceleration of 4m∕s2 and then climbs up with an acceleration of 5m∕s2. Choose the correct option (g=10m∕s2).
[26-Jul-2022-Shift-1]
A monkey of mass 50‌kg climbs on a rope which can withstand the tension (T) of 350N. If monkey initially climbs down with an acceleration of 4m∕s2 and then climbs up with an acceleration of 5m∕s2. Choose the correct option (g=10m∕s2).
[26-Jul-2022-Shift-1]
Q.67 Correct
Q.67 In-correct
Q.67 Unattempt
Two masses M1 and M2 are tied together at the two ends of a light inextensible string that passes over a frictionless pulley. When the mass M2 is twice that of M1, the acceleration of the system is a1 When the mass M2 is thrice that of M1, the acceleration of the system is a2. The ratio ‌
a1
a2
 will be :

[26-Jul-2022-Shift-2]
Two masses M1 and M2 are tied together at the two ends of a light inextensible string that passes over a frictionless pulley. When the mass M2 is twice that of M1, the acceleration of the system is a1 When the mass M2 is thrice that of M1, the acceleration of the system is a2. The ratio ‌
a1
a2
 will be :

[26-Jul-2022-Shift-2]
Q.68 Correct
Q.68 In-correct
Q.68 Unattempt
A bag is gently dropped on a conveyor belt moving at a speed of 2m∕s. The coefficient of friction between the conveyor belt and bag is 0.4. Initially, the bag slips on the belt before it stops due to friction. The distance travelled by the bag on the belt during slipping motion, is : [Take g=10m∕s−2 ]
[27-Jul-2022-Shift-1]
A bag is gently dropped on a conveyor belt moving at a speed of 2m∕s. The coefficient of friction between the conveyor belt and bag is 0.4. Initially, the bag slips on the belt before it stops due to friction. The distance travelled by the bag on the belt during slipping motion, is : [Take g=10m∕s−2 ]
[27-Jul-2022-Shift-1]
Q.69 Correct
Q.69 In-correct
Q.69 Unattempt
A block of mass M slides down on a rough inclined plane with constant velocity. The angle made by the incline plane with horizontal is θ. The magnitude of the contact force will be :
[27-Jul-2022-Shift-2]
A block of mass M slides down on a rough inclined plane with constant velocity. The angle made by the incline plane with horizontal is θ. The magnitude of the contact force will be :
[27-Jul-2022-Shift-2]
Q.70 Correct
Q.70 In-correct
Q.70 Unattempt
A block 'A' takes 2s to slide down a frictionless incline of 30∘ and length 'I', kept inside a lift going up with uniform velocity 'v'. If the incline is changed to 45∘, the time taken by the block, to slide down the incline, will be approximately :
[27-Jul-2022-Shift-2]
A block 'A' takes 2s to slide down a frictionless incline of 30∘ and length 'I', kept inside a lift going up with uniform velocity 'v'. If the incline is changed to 45∘, the time taken by the block, to slide down the incline, will be approximately :
[27-Jul-2022-Shift-2]
Q.71 Correct
Q.71 In-correct
Q.71 Unattempt
In two different experiments, an object of mass 5‌kg moving with a speed of 25ms−1 hits two different walls and comes to rest within (i) 3 second, (ii) 5 seconds, respectively. Choose the correct option out of the following :
[28-Jul-2022-Shift-1]
In two different experiments, an object of mass 5‌kg moving with a speed of 25ms−1 hits two different walls and comes to rest within (i) 3 second, (ii) 5 seconds, respectively. Choose the correct option out of the following :
[28-Jul-2022-Shift-1]
Q.72 Correct
Q.72 In-correct
Q.72 Unattempt
A balloon has mass of 10g in air. The air escapes from the balloon at a uniform rate with velocity 4.5‌cm∕s. If the balloon shrinks in 5s completely. Then, the average force acting on that balloon will be (in dyne).
[28-Jul-2022-Shift-1]
A balloon has mass of 10g in air. The air escapes from the balloon at a uniform rate with velocity 4.5‌cm∕s. If the balloon shrinks in 5s completely. Then, the average force acting on that balloon will be (in dyne).
[28-Jul-2022-Shift-1]
Q.73 Correct
Q.73 In-correct
Q.73 Unattempt
A uniform metal chain of mass m and length 'L' passes over a massless and frictionless pulley. It is released from rest with a part of its length 'l' is hanging on one side and rest of its length ' L−l ' is hanging on the other side of the pully. At a certain point of time, when l=‌
L
x
, the acceleration of the chain is ‌
g
2
. The value of x is ________.

[28-Jul-2022-Shift-2]
A uniform metal chain of mass m and length 'L' passes over a massless and frictionless pulley. It is released from rest with a part of its length 'l' is hanging on one side and rest of its length ' L−l ' is hanging on the other side of the pully. At a certain point of time, when l=‌
L
x
, the acceleration of the chain is ‌
g
2
. The value of x is ________.

[28-Jul-2022-Shift-2]
Q.74 Correct
Q.74 In-correct
Q.74 Unattempt
A smooth circular groove has a smooth vertical wall as shown in figure. A block of mass m moves against the wall with a speed v. Which of the following curve represents the correct relation between the normal reaction on the block by the wall (N) and speed of the block (v)?

[29-Jul-2022-Shift-1]
A smooth circular groove has a smooth vertical wall as shown in figure. A block of mass m moves against the wall with a speed v. Which of the following curve represents the correct relation between the normal reaction on the block by the wall (N) and speed of the block (v)?

[29-Jul-2022-Shift-1]
Q.75 Correct
Q.75 In-correct
Q.75 Unattempt
Two bodies of masses m1=5‌kg and m2=3‌kg are connected by a light string going over a smooth light pulley on a smooth inclined plane as shown in the figure. The system is at rest. The force exerted by the inclined plane on the body of mass m1 will be : [. Take .g=10ms−2]

[29-Jul-2022-Shift-2]
Two bodies of masses m1=5‌kg and m2=3‌kg are connected by a light string going over a smooth light pulley on a smooth inclined plane as shown in the figure. The system is at rest. The force exerted by the inclined plane on the body of mass m1 will be : [. Take .g=10ms−2]

[29-Jul-2022-Shift-2]
Q.76 Correct
Q.76 In-correct
Q.76 Unattempt
A tube of length 50‌cm is filled completely with an incompressible liquid of mass 250g and closed at both ends. The tube is then rotated in horizontal plane about one of its ends with a uniform angular velocity x√Frads−1. If F be the force exerted by the liquid at the other end then the value of x will be ________.
[29-Jul-2022-Shift-2]
A tube of length 50‌cm is filled completely with an incompressible liquid of mass 250g and closed at both ends. The tube is then rotated in horizontal plane about one of its ends with a uniform angular velocity x√Frads−1. If F be the force exerted by the liquid at the other end then the value of x will be ________.
[29-Jul-2022-Shift-2]
Q.77 Correct
Q.77 In-correct
Q.77 Unattempt
A boy pushes a box of mass 2kg with a force F=(20i+10‌
∧
j
)‌N on a frictionless surface. If the box was initially at rest, then ........ m is displacement along the X-axis after 10s.
[26 Feb 2021 Shift 1]
A boy pushes a box of mass 2kg with a force F=(20i+10‌
∧
j
)‌N on a frictionless surface. If the box was initially at rest, then ........ m is displacement along the X-axis after 10s.
[26 Feb 2021 Shift 1]
Q.78 Correct
Q.78 In-correct
Q.78 Unattempt
The coefficient of static friction between a wooden block of mass 0.5kg and a vertical rough wall is 0.2. The magnitude of horizontal force that should be applied on the block to keep it adhere to the wall will be___N. [g=10ms−2]
[ 24feb2021shift1]
The coefficient of static friction between a wooden block of mass 0.5kg and a vertical rough wall is 0.2. The magnitude of horizontal force that should be applied on the block to keep it adhere to the wall will be___N. [g=10ms−2]
[ 24feb2021shift1]
Q.79 Correct
Q.79 In-correct
Q.79 Unattempt
An inclined plane is bent in such a way that the vertical cross-section is given by y=‌
x2
4
 where y is in vertical and x in horizontal direction. If the upper surface of this curved plane is rough with coefficient of friction µ=0.5, the maximum height in cm at which a stationary block will not slip downward is______cm
[24feb2021shift1]
An inclined plane is bent in such a way that the vertical cross-section is given by y=‌
x2
4
 where y is in vertical and x in horizontal direction. If the upper surface of this curved plane is rough with coefficient of friction µ=0.5, the maximum height in cm at which a stationary block will not slip downward is______cm
[24feb2021shift1]
Q.80 Correct
Q.80 In-correct
Q.80 Unattempt
As shown in the figure, a block of mass √3kg is kept on a horizontal rough surface of coefficient of friction 1∕3√3. The critical force to be applied on the vertical surface as shown at an angle 60∘ with horizontal such that it does not move, will be 3x. The value of x will be ...........[g=10ms−2;sin‌60∘=‌
√3
2
 cos‌60∘=‌
1
2
]

[26 Feb 2021 Shift 1]
As shown in the figure, a block of mass √3kg is kept on a horizontal rough surface of coefficient of friction 1∕3√3. The critical force to be applied on the vertical surface as shown at an angle 60∘ with horizontal such that it does not move, will be 3x. The value of x will be ...........[g=10ms−2;sin‌60∘=‌
√3
2
 cos‌60∘=‌
1
2
]

[26 Feb 2021 Shift 1]
Q.81 Correct
Q.81 In-correct
Q.81 Unattempt
A particle is moving with uniform speed along the circumference of a circle of radius R under the action of a central fictitious force F which is inversely proportional to R3. Its time period of revolution will be given by
[26 Feb 2021 Shift 1]
A particle is moving with uniform speed along the circumference of a circle of radius R under the action of a central fictitious force F which is inversely proportional to R3. Its time period of revolution will be given by
[26 Feb 2021 Shift 1]
Q.82 Correct
Q.82 In-correct
Q.82 Unattempt
A bullet of mass 0.1kg is fired on a wooden block to pierce through it, but it stops after moving a distance of 50cm into it. If the velocity of bullet before hitting the wood is 10m∕s and it slows down with uniform deceleration, then the magnitude of effective retarding force on the bullet is xN. The value of x to the nearest integer is ......... .
[18 Mar 2021 Shift 1]
A bullet of mass 0.1kg is fired on a wooden block to pierce through it, but it stops after moving a distance of 50cm into it. If the velocity of bullet before hitting the wood is 10m∕s and it slows down with uniform deceleration, then the magnitude of effective retarding force on the bullet is xN. The value of x to the nearest integer is ......... .
[18 Mar 2021 Shift 1]
Q.83 Correct
Q.83 In-correct
Q.83 Unattempt
A body of mass 2kg moves under a force of (2
∧
i
+3
∧
j
+5‌
∧
k
)‌N. It starts from rest and was at the origin initially. After 4s, its new coordinates are (8,b,20). The value of b is
(Round off to the nearest integer)
[16 Mar 2021 Shift 2]
A body of mass 2kg moves under a force of (2
∧
i
+3
∧
j
+5‌
∧
k
)‌N. It starts from rest and was at the origin initially. After 4s, its new coordinates are (8,b,20). The value of b is
(Round off to the nearest integer)
[16 Mar 2021 Shift 2]
Q.84 Correct
Q.84 In-correct
Q.84 Unattempt
Consider a frame that is made up of two thin massless rods AB and AC as shown in the figure. A vertical force P of magnitude 100N is applied at point A of the frame.

[16 Mar 2021 Shift 1]
Consider a frame that is made up of two thin massless rods AB and AC as shown in the figure. A vertical force P of magnitude 100N is applied at point A of the frame.

[16 Mar 2021 Shift 1]
Q.85 Correct
Q.85 In-correct
Q.85 Unattempt
A solid cylinder of mass m is wrapped with an inextensible light string and, is placed on a rough inclined plane as shown in the figure. The frictional force acting between the cylinder and the inclined plane is(The coefficient of static friction, µs, is 0.4 )

[18 Mar 2021 Shift 2]
A solid cylinder of mass m is wrapped with an inextensible light string and, is placed on a rough inclined plane as shown in the figure. The frictional force acting between the cylinder and the inclined plane is(The coefficient of static friction, µs, is 0.4 )

[18 Mar 2021 Shift 2]
Q.86 Correct
Q.86 In-correct
Q.86 Unattempt
A body of mass 1kg rests on a horizontal floor with which it has a coefficient of static friction ‌
1
√3
. It is desired to make the body move by applying the minimum possible force F newton. The value of F will be (Round off to the nearest integer) (Take, g=10ms−2 )
[17 Mar 2021 Shift 2]
A body of mass 1kg rests on a horizontal floor with which it has a coefficient of static friction ‌
1
√3
. It is desired to make the body move by applying the minimum possible force F newton. The value of F will be (Round off to the nearest integer) (Take, g=10ms−2 )
[17 Mar 2021 Shift 2]
Q.87 Correct
Q.87 In-correct
Q.87 Unattempt
A boy of mass 4kg is standing on a piece of wood having mass 5kg. If the coefficient of friction between the wood and the floor is 0.5, the maximum force that the boy can exert on the rope, so that the piece of wood does not move from its place is . N. (Round off to the nearest integer) (Take, g=10ms−2 )

[17 Mar 2021 Shift 2]
A boy of mass 4kg is standing on a piece of wood having mass 5kg. If the coefficient of friction between the wood and the floor is 0.5, the maximum force that the boy can exert on the rope, so that the piece of wood does not move from its place is . N. (Round off to the nearest integer) (Take, g=10ms−2 )

[17 Mar 2021 Shift 2]
Q.88 Correct
Q.88 In-correct
Q.88 Unattempt
Two blocks (m=0.5kg and M=4.5kg) are arranged on a horizontal frictionless table as shown in figure. The coefficient of static friction between the two blocks is ‌
3
7
. Then, the maximum horizontal force that can be applied on the larger block so that the blocks move together is ...... N.
(Round off to the nearest integer. Take, g=9.8ms−2 )
[17 Mar 2021 Shift 1]
Two blocks (m=0.5kg and M=4.5kg) are arranged on a horizontal frictionless table as shown in figure. The coefficient of static friction between the two blocks is ‌
3
7
. Then, the maximum horizontal force that can be applied on the larger block so that the blocks move together is ...... N.
(Round off to the nearest integer. Take, g=9.8ms−2 )
[17 Mar 2021 Shift 1]
Q.89 Correct
Q.89 In-correct
Q.89 Unattempt
A block of mass m slides along a floor, while a force of magnitude F is applied to it at an angle θ as shown in figure. The coefficient of kinetic friction is µk. Then, the block's acceleration a is given by
( g is acceleration due to gravity)

[16 Mar 2021 Shift 1]
A block of mass m slides along a floor, while a force of magnitude F is applied to it at an angle θ as shown in figure. The coefficient of kinetic friction is µk. Then, the block's acceleration a is given by
( g is acceleration due to gravity)

[16 Mar 2021 Shift 1]
Q.90 Correct
Q.90 In-correct
Q.90 Unattempt
Two blocks (m=0.5kg and M=4.5kg) are arranged on a horizontal frictionless table as shown in figure. The coefficient of static friction between the two blocks is ‌
3
7
. Then, the maximum horizontal force that can be applied on the larger block so that the blocks move together is ...... N.
(Round off to the nearest integer. Take, g=9.8ms−2 )

[17 Mar 2021 Shift 1]
Two blocks (m=0.5kg and M=4.5kg) are arranged on a horizontal frictionless table as shown in figure. The coefficient of static friction between the two blocks is ‌
3
7
. Then, the maximum horizontal force that can be applied on the larger block so that the blocks move together is ...... N.
(Round off to the nearest integer. Take, g=9.8ms−2 )

[17 Mar 2021 Shift 1]
Q.91 Correct
Q.91 In-correct
Q.91 Unattempt
A block of mass m slides along a floor, while a force of magnitude F is applied to it at an angle θ as shown in figure. The coefficient of kinetic friction is µk. Then, the block's acceleration a is given by
( g is acceleration due to gravity)

[16 Mar 2021 Shift 1]
A block of mass m slides along a floor, while a force of magnitude F is applied to it at an angle θ as shown in figure. The coefficient of kinetic friction is µk. Then, the block's acceleration a is given by
( g is acceleration due to gravity)

[16 Mar 2021 Shift 1]
Q.92 Correct
Q.92 In-correct
Q.92 Unattempt
A modern grand-prix racing car of mass m is travelling on a flat track in a circular arc of radius R with a speed v. If the coefficient of static friction between the tyres and the track is µs, then the magnitude of negative lift fL acting downwards on the car is (Assume forces on the four tyres are identical and g= acceleration due to gravity)

[17 Mar 2021 Shift 1]
A modern grand-prix racing car of mass m is travelling on a flat track in a circular arc of radius R with a speed v. If the coefficient of static friction between the tyres and the track is µs, then the magnitude of negative lift fL acting downwards on the car is (Assume forces on the four tyres are identical and g= acceleration due to gravity)

[17 Mar 2021 Shift 1]
Q.93 Correct
Q.93 In-correct
Q.93 Unattempt
Statement I A cyclist is moving on an unbanked road with a speed of 7kmh−1 and takes a sharp circular turn along a path of radius of 2m without reducing the speed. The static friction coefficient is 0.2. The cyclist will not slip and pass the curve (g=9.8m/s2) Statement II If the road is banked at an angle of 45∘, cyclist can cross the curve of 2m radius with the speed of 18.5kmh−1 without slipping. In the light of the above statements, choose the correct answer from the options given below.
[16 Mar 2021 Shift 2]
Statement I A cyclist is moving on an unbanked road with a speed of 7kmh−1 and takes a sharp circular turn along a path of radius of 2m without reducing the speed. The static friction coefficient is 0.2. The cyclist will not slip and pass the curve (g=9.8m/s2) Statement II If the road is banked at an angle of 45∘, cyclist can cross the curve of 2m radius with the speed of 18.5kmh−1 without slipping. In the light of the above statements, choose the correct answer from the options given below.
[16 Mar 2021 Shift 2]
Q.94 Correct
Q.94 In-correct
Q.94 Unattempt
A block of 200g mass moves with a uniform speed in a horizontal circular groove, with vertical side walls of radius 20cm. If the block takes 40 s to complete one round, the normal force by the side walls of the groove is
[16 Mar 2021 Shift 1]
A block of 200g mass moves with a uniform speed in a horizontal circular groove, with vertical side walls of radius 20cm. If the block takes 40 s to complete one round, the normal force by the side walls of the groove is
[16 Mar 2021 Shift 1]
Q.95 Correct
Q.95 In-correct
Q.95 Unattempt
A particle of mass M originally at rest is subjected to a force whose direction is constant but magnitude varies with time according to the relation
F=F0[1−(
t−T
T
)2]
Where F0 and T are constants. The force acts only for the time interval 2T. The velocity v of the particle after time 2T is :
[27 Jul 2021 Shift 2]
A particle of mass M originally at rest is subjected to a force whose direction is constant but magnitude varies with time according to the relation
F=F0[1−(
t−T
T
)2]
Where F0 and T are constants. The force acts only for the time interval 2T. The velocity v of the particle after time 2T is :
[27 Jul 2021 Shift 2]
Q.96 Correct
Q.96 In-correct
Q.96 Unattempt
A force
→
F
=(40
^
i
+10
^
j
)N acts on a body of mass5kg. If the body starts from rest, its position vector
→
r
 at time t=10s, will be :
[25 Jul 2021 Shift 2]
A force
→
F
=(40
^
i
+10
^
j
)N acts on a body of mass5kg. If the body starts from rest, its position vector
→
r
 at time t=10s, will be :
[25 Jul 2021 Shift 2]
Q.97 Correct
Q.97 In-correct
Q.97 Unattempt
Two billiard balls of equal mass 30 g strike a rigid wall with same speed of 108 kmph (as shown) but at different angles. If the balls get reflected with the same speed then the ratio of the magnitude of impulses imparted to ball 'a' and ball 'b' by the wall along 'X' direction is :

[25 Jul 2021 Shift 1]
Two billiard balls of equal mass 30 g strike a rigid wall with same speed of 108 kmph (as shown) but at different angles. If the balls get reflected with the same speed then the ratio of the magnitude of impulses imparted to ball 'a' and ball 'b' by the wall along 'X' direction is :

[25 Jul 2021 Shift 1]
Q.98 Correct
Q.98 In-correct
Q.98 Unattempt
A bullet of ' 4g ' mass is fired from a gun of mass4kg. If the bullet moves with the muzzle speed of50ms−1, the impulse imparted to the gun and velocity of recoil of gun are:
[22 Jul 2021 Shift 2]
A bullet of ' 4g ' mass is fired from a gun of mass4kg. If the bullet moves with the muzzle speed of50ms−1, the impulse imparted to the gun and velocity of recoil of gun are:
[22 Jul 2021 Shift 2]
Q.99 Correct
Q.99 In-correct
Q.99 Unattempt
A body of mass ' m ' is launched up on a rough inclined plane making an angle of 30° with the horizontal. The coefficient of friction between the body and plane is
√x
5
 if the time of ascent is half of the time of descent. The value of x is _______.
[20 Jul 2021 Shift 2]
A body of mass ' m ' is launched up on a rough inclined plane making an angle of 30° with the horizontal. The coefficient of friction between the body and plane is
√x
5
 if the time of ascent is half of the time of descent. The value of x is _______.
[20 Jul 2021 Shift 2]
Q.100 Correct
Q.100 In-correct
Q.100 Unattempt
A steel block of 10kg rests on a horizontal floor as shown. When three iron cylinders are placed on it as shown, the block and cylinders go down with an acceleration 0.2m∕s2. The normal reaction R′ by the floor if mass of the iron cylinders are equal and of 20kg each, is ______ N. [Take g=10m∕s2 and µs=0.2]

[20 Jul 2021 Shift 1]
A steel block of 10kg rests on a horizontal floor as shown. When three iron cylinders are placed on it as shown, the block and cylinders go down with an acceleration 0.2m∕s2. The normal reaction R′ by the floor if mass of the iron cylinders are equal and of 20kg each, is ______ N. [Take g=10m∕s2 and µs=0.2]
[20 Jul 2021 Shift 1]
Q.101 Correct
Q.101 In-correct
Q.101 Unattempt
Consider a binary star system of star A and star B with masses mA and mB revolving in a circular orbit of radii rA and rB, respectively. If TA and TB are the time period of star A and star B, respectively, then:
[20 Jul 2021 Shift 2]
Consider a binary star system of star A and star B with masses mA and mB revolving in a circular orbit of radii rA and rB, respectively. If TA and TB are the time period of star A and star B, respectively, then:
[20 Jul 2021 Shift 2]
Q.102 Correct
Q.102 In-correct
Q.102 Unattempt
The normal reaction 'N' for a vehicle of 800kg mass, negotiating a turn on a 30° banked road at maximum possible speed without skidding is _______×103kgm∕s2
[20 Jul 2021 Shift 1]
The normal reaction 'N' for a vehicle of 800kg mass, negotiating a turn on a 30° banked road at maximum possible speed without skidding is _______×103kgm∕s2
[20 Jul 2021 Shift 1]
Q.103 Correct
Q.103 In-correct
Q.103 Unattempt
The initial mass of a rocket is 1000‌kg. Calculate at what rate the fuel should be burnt, so that the rocket is given an acceleration of 20ms−1. The gases come out at a relative speed of 500ms−1 with respect to the rocket [Use, g=10m∕s2 ]
[26 Aug 2021 Shift 1]
The initial mass of a rocket is 1000‌kg. Calculate at what rate the fuel should be burnt, so that the rocket is given an acceleration of 20ms−1. The gases come out at a relative speed of 500ms−1 with respect to the rocket [Use, g=10m∕s2 ]
[26 Aug 2021 Shift 1]
Q.104 Correct
Q.104 In-correct
Q.104 Unattempt
A car is moving on a plane inclined at 30° to the horizontal with an acceleration of 10ms−2 parallel to the plane upward. A bob is suspended by a string from the roof of the car. The angle in degrees which the string makes with the verticalis........
(Take, g=10ms−2)
[31 Aug 2021 Shift 1]
A car is moving on a plane inclined at 30° to the horizontal with an acceleration of 10ms−2 parallel to the plane upward. A bob is suspended by a string from the roof of the car. The angle in degrees which the string makes with the verticalis........
(Take, g=10ms−2)
[31 Aug 2021 Shift 1]
Q.105 Correct
Q.105 In-correct
Q.105 Unattempt
Statement I If three forces F1.F2 and F3 are represented by three sides of a triangle and F1+F2=−F3, then these three forces are concurrent forces and satisfy the condition for equilibrium.
Statement II A triangle made up of three forces F1,F2 and F3 as its sides taken in the same order, satisfy the condition for translatory equilibrium. In the light of the above statements, choose the most appropriate answer from the options given below.
[31 Aug 2021 Shift 2]
Statement I If three forces F1.F2 and F3 are represented by three sides of a triangle and F1+F2=−F3, then these three forces are concurrent forces and satisfy the condition for equilibrium.
Statement II A triangle made up of three forces F1,F2 and F3 as its sides taken in the same order, satisfy the condition for translatory equilibrium. In the light of the above statements, choose the most appropriate answer from the options given below.
[31 Aug 2021 Shift 2]
Q.106 Correct
Q.106 In-correct
Q.106 Unattempt
The boxes of masses 2‌kg and 8‌kg are connected by a massless string passing over smooth pulleys. Calculate the time taken by box of mass 8‌kg to strike the ground starting from rest.
(Use, g=10m∕s2)

[27 Aug 2021 Shift 2]
The boxes of masses 2‌kg and 8‌kg are connected by a massless string passing over smooth pulleys. Calculate the time taken by box of mass 8‌kg to strike the ground starting from rest.
(Use, g=10m∕s2)

[27 Aug 2021 Shift 2]
Q.107 Correct
Q.107 In-correct
Q.107 Unattempt
The coefficient of static friction between two blocks is 0.5 and the table is smooth. The maximum horizontal force that can be applied to move the blocks together is ...... N.
(Take, g=10ms−2 )

[26 Aug 2021 Shift 2]
The coefficient of static friction between two blocks is 0.5 and the table is smooth. The maximum horizontal force that can be applied to move the blocks together is ...... N.
(Take, g=10ms−2 )

[26 Aug 2021 Shift 2]
Q.108 Correct
Q.108 In-correct
Q.108 Unattempt
A particle of mass m is suspended from a ceiling through a string of length L. The particle moves in a horizontal circle of radius r such that r=
L
√2
. The speed of particle will be
[26 Aug 2021 Shift 2]
A particle of mass m is suspended from a ceiling through a string of length L. The particle moves in a horizontal circle of radius r such that r=
L
√2
. The speed of particle will be
[26 Aug 2021 Shift 2]
Q.109 Correct
Q.109 In-correct
Q.109 Unattempt
A particle of mass m is suspended from a ceiling through a string of length L. The particle moves in a horizontal circle of radius r such that r=
L
√2
. The speed of particle will be
[26 Aug 2021 Shift 2]
A particle of mass m is suspended from a ceiling through a string of length L. The particle moves in a horizontal circle of radius r such that r=
L
√2
. The speed of particle will be
[26 Aug 2021 Shift 2]
Q.110 Correct
Q.110 In-correct
Q.110 Unattempt
When a body slides down from rest along a smooth inclined plane making an angle of 30° with the horizontal, it takes time T. When the same body slides down from the rest along a rough inclined plane making the same angle and through the same distance, it takes time αT, where α is a constant greater than 1. The coefficient of friction between the body and the rough plane is
1
√x
(
α2−1
α2
), where x is ............. .
[1 Sep 2021 Shift 2]
When a body slides down from rest along a smooth inclined plane making an angle of 30° with the horizontal, it takes time T. When the same body slides down from the rest along a rough inclined plane making the same angle and through the same distance, it takes time αT, where α is a constant greater than 1. The coefficient of friction between the body and the rough plane is
1
√x
(
α2−1
α2
), where x is ............. .
[1 Sep 2021 Shift 2]
Q.111 Correct
Q.111 In-correct
Q.111 Unattempt
An object of mass m is being moved with a constant velocity under the action of an applied force of 2N along a frictionless surface with following surface profile.

The correct applied force versus distance graph will be
[1 Sep 2021 Shift 2]
An object of mass m is being moved with a constant velocity under the action of an applied force of 2N along a frictionless surface with following surface profile.

The correct applied force versus distance graph will be
[1 Sep 2021 Shift 2]
Q.112 Correct
Q.112 In-correct
Q.112 Unattempt
A block of mass m slides on the wooden wedge, which in turn slides backward on the horizontal surface. The acceleration of the block with respect to the wedge is
[Given, m=8‌kg,M=16‌kg ]
Assume all the surfaces shown in the figure to be frictionless.

[1 Sep 2021 Shift 2]
A block of mass m slides on the wooden wedge, which in turn slides backward on the horizontal surface. The acceleration of the block with respect to the wedge is
[Given, m=8‌kg,M=16‌kg ]
Assume all the surfaces shown in the figure to be frictionless.

[1 Sep 2021 Shift 2]
Q.113 Correct
Q.113 In-correct
Q.113 Unattempt
A mass of 10 kg is suspended by a rope of length 4 m, from the ceiling. A force F is applied horizontally at the midpoint of the rope such that the top half of the rope makes an angle of 45° with the vertical. Then F equals:
(Take g = 10 ms‌–2 and the rope to be massless)
[7 Jan. 2020 II]
A mass of 10 kg is suspended by a rope of length 4 m, from the ceiling. A force F is applied horizontally at the midpoint of the rope such that the top half of the rope makes an angle of 45° with the vertical. Then F equals:
(Take g = 10 ms‌–2 and the rope to be massless)
[7 Jan. 2020 II]
Q.114 Correct
Q.114 In-correct
Q.114 Unattempt
An elevator in a building can carry a maximum of 10 persons, with the average mass of each person being 68 kg. The mass of the elevator itself is 920 kg and it moves with a constant speed of 3 m/s. The frictional force opposing the motion is 6000 N. If the elevator is moving up with its full capacity, the power delivered by the motor to the elevator (g =10 m/s‌2 ) must be at least:
[7 Jan. 2020 II]
An elevator in a building can carry a maximum of 10 persons, with the average mass of each person being 68 kg. The mass of the elevator itself is 920 kg and it moves with a constant speed of 3 m/s. The frictional force opposing the motion is 6000 N. If the elevator is moving up with its full capacity, the power delivered by the motor to the elevator (g =10 m/s‌2 ) must be at least:
[7 Jan. 2020 II]
Q.115 Correct
Q.115 In-correct
Q.115 Unattempt
A particle moving in the xy plane experiences a velocity dependent force
→
F
=k(vy
^
i
+vx
^
j
), where vx and vy are x and y components of its velocity
→
v
. if
→
a
 is the acceleration of the particle, then which of the following statements is true for the particle?
[Sep. 06, 2020 (II)]
A particle moving in the xy plane experiences a velocity dependent force
→
F
=k(vy
^
i
+vx
^
j
), where vx and vy are x and y components of its velocity
→
v
. if
→
a
 is the acceleration of the particle, then which of the following statements is true for the particle?
[Sep. 06, 2020 (II)]
Q.116 Correct
Q.116 In-correct
Q.116 Unattempt
A spaceship in space sweeps stationary interplanetary dust. As a result, its mass increases at a rate
dM(t)
dt
=bv2(t), where v(t) is its instantaneous velocity. The instantaneous acceleration of the satellite is :
[Sep. 05, 2020 (II)]
A spaceship in space sweeps stationary interplanetary dust. As a result, its mass increases at a rate
dM(t)
dt
=bv2(t), where v(t) is its instantaneous velocity. The instantaneous acceleration of the satellite is :
[Sep. 05, 2020 (II)]
Q.117 Correct
Q.117 In-correct
Q.117 Unattempt
A small ball of mass m is thrown upward with velocity u from the ground. The ball experiences a resistive force mkv2 where v is its speed. The maximum height attained by the ball is:
[Sep. 04, 2020 (II)]
A small ball of mass m is thrown upward with velocity u from the ground. The ball experiences a resistive force mkv2 where v is its speed. The maximum height attained by the ball is:
[Sep. 04, 2020 (II)]
Q.118 Correct
Q.118 In-correct
Q.118 Unattempt
An insect is at the bottom of a hemispherical ditch of radius 1 m. It crawls up the ditch but starts slipping after it is at height h from the bottom. If the coefficient of friction between the ground and the insect is 0.75, then h is : (g = 10 ms‌–2)
[Sep. 06, 2020 (I)]
An insect is at the bottom of a hemispherical ditch of radius 1 m. It crawls up the ditch but starts slipping after it is at height h from the bottom. If the coefficient of friction between the ground and the insect is 0.75, then h is : (g = 10 ms‌–2)
[Sep. 06, 2020 (I)]
Q.119 Correct
Q.119 In-correct
Q.119 Unattempt
A block starts moving up an inclined plane of inclination 30° with an initial velocity of v0. It comes back to itsinitial position with velocity
v0
2
. The value of the coefficient of kinetic friction between the block and theinclined plane is close to
I
1000
. The nearest integer to I is _______.
[NA Sep. 03, 2020 (II)]
A block starts moving up an inclined plane of inclination 30° with an initial velocity of v0. It comes back to itsinitial position with velocity
v0
2
. The value of the coefficient of kinetic friction between the block and theinclined plane is close to
I
1000
. The nearest integer to I is _______.
[NA Sep. 03, 2020 (II)]
Q.120 Correct
Q.120 In-correct
Q.120 Unattempt
A particle of mass m is moving in a straight line with momentum p. Starting at time t = 0, a force F = kt acts in the same direction on the moving particle during time interval T so that its momentum changes from p to 3p. Here k is a constant. The value of T is :
[11 Jan. 2019 II]
A particle of mass m is moving in a straight line with momentum p. Starting at time t = 0, a force F = kt acts in the same direction on the moving particle during time interval T so that its momentum changes from p to 3p. Here k is a constant. The value of T is :
[11 Jan. 2019 II]
Q.121 Correct
Q.121 In-correct
Q.121 Unattempt
A mass of 10 kg is suspended vertically by a rope from the roof. When a horizontal force is applied on the rope at some point, the rope deviated at an angle of 45°at the roof point. If the suspended mass is at equilibrium, the magnitude of the force applied is (g = 10 ms‌–2)
[9 Jan. 2019 II]
A mass of 10 kg is suspended vertically by a rope from the roof. When a horizontal force is applied on the rope at some point, the rope deviated at an angle of 45°at the roof point. If the suspended mass is at equilibrium, the magnitude of the force applied is (g = 10 ms‌–2)
[9 Jan. 2019 II]
Q.122 Correct
Q.122 In-correct
Q.122 Unattempt
A block kept on a rough inclined plane, as shown in the figure, remains at rest upto a maximum force 2 N down the inclined plane. The maximum external force up the inclined plane that does not move the block is 10 N. The coefficient of static friction between the block and the plane is : [Take g = 10 m/s‌2]

[12 Jan. 2019 II]
A block kept on a rough inclined plane, as shown in the figure, remains at rest upto a maximum force 2 N down the inclined plane. The maximum external force up the inclined plane that does not move the block is 10 N. The coefficient of static friction between the block and the plane is : [Take g = 10 m/s‌2]

[12 Jan. 2019 II]
Q.123 Correct
Q.123 In-correct
Q.123 Unattempt
A block of mass 10 kg is kept on a rough inclined plane as shown in the figure. A force of 3 N is applied on the block. The coefficient of static friction between the plane and the block is 0.6. What should be the minimum value of force P, such that the block does not move downward? (take g = 10 ms‌–2)

[9 Jan. 2019 I]
A block of mass 10 kg is kept on a rough inclined plane as shown in the figure. A force of 3 N is applied on the block. The coefficient of static friction between the plane and the block is 0.6. What should be the minimum value of force P, such that the block does not move downward? (take g = 10 ms‌–2)

[9 Jan. 2019 I]
Q.124 Correct
Q.124 In-correct
Q.124 Unattempt
A ball is thrown upward with an initial velocity V0 from the surface of the earth. The motion of the ball is affected by a drag force equal to mγv2 (where m is mass of the ball, v is its instantaneous velocity and γ is a constant). Time taken by the ball to rise to its zenith is:
[10 April 2019 I]
A ball is thrown upward with an initial velocity V0 from the surface of the earth. The motion of the ball is affected by a drag force equal to mγv2 (where m is mass of the ball, v is its instantaneous velocity and γ is a constant). Time taken by the ball to rise to its zenith is:
[10 April 2019 I]
Q.125 Correct
Q.125 In-correct
Q.125 Unattempt
A ball is thrown vertically up (taken as + z-axis) from the ground. The correct momentum-height (p-h) diagram is:
[9 April 2019 I]
A ball is thrown vertically up (taken as + z-axis) from the ground. The correct momentum-height (p-h) diagram is:
[9 April 2019 I]
Q.126 Correct
Q.126 In-correct
Q.126 Unattempt
A block of mass 5kg is (i) pushed in case (A) and (ii) pulled in case (B), by a force F=20N, making an angle of 30° with the horizontal, as shown in the figures. The coefficient of friction between the block and floor is µ=0.2. The difference between the accelerations of the block, in case(B) and case (A) will be : (g=10ms−2)
[12 April 2019 II]
A block of mass 5kg is (i) pushed in case (A) and (ii) pulled in case (B), by a force F=20N, making an angle of 30° with the horizontal, as shown in the figures. The coefficient of friction between the block and floor is µ=0.2. The difference between the accelerations of the block, in case(B) and case (A) will be : (g=10ms−2)
[12 April 2019 II]
Q.127 Correct
Q.127 In-correct
Q.127 Unattempt
Two blocks A and B masses mA=1 kg and mB=3 kg are kept on the table as shown in figure. The coefficient of friction between A and B is 0.2 and between B and the surface of the table is also 0.2. The maximum force F that can be applied on B horizontally, so that the block A does not slide over the block B is : [Take g = 10 m/s‌2]

[10 April 2019 II]
Two blocks A and B masses mA=1 kg and mB=3 kg are kept on the table as shown in figure. The coefficient of friction between A and B is 0.2 and between B and the surface of the table is also 0.2. The maximum force F that can be applied on B horizontally, so that the block A does not slide over the block B is : [Take g = 10 m/s‌2]

[10 April 2019 II]
Q.128 Correct
Q.128 In-correct
Q.128 Unattempt
Two masses m1=5kg and m2=10kg, connected by an inextensible string over a frictionless pulley, are moving as shown in the figure. The coefficient of friction of horizontal surface is 0.15 . The minimum weight m that should be put on top of m2 to stop the motion is:

 [2018]
Two masses m1=5kg and m2=10kg, connected by an inextensible string over a frictionless pulley, are moving as shown in the figure. The coefficient of friction of horizontal surface is 0.15 . The minimum weight m that should be put on top of m2 to stop the motion is:

[2018]
Q.129 Correct
Q.129 In-correct
Q.129 Unattempt
A given object takes n times more time to slide down a 45° rough inclined plane as it takes to slide down a perfectly smooth 45° incline. The coefficient of kinetic friction between the object and the incline is :
[Online April 15, 2018]
A given object takes n times more time to slide down a 45° rough inclined plane as it takes to slide down a perfectly smooth 45° incline. The coefficient of kinetic friction between the object and the incline is :
[Online April 15, 2018]
Q.130 Correct
Q.130 In-correct
Q.130 Unattempt
A body of mass 2kg slides down with an acceleration of 3m/s‌2 on a rough inclined plane having a slope of 30°.
The external force required to take the same body up the plane with the same acceleration will be: (g = 10m/s‌2)
[Online April 15, 2018]
A body of mass 2kg slides down with an acceleration of 3m/s‌2 on a rough inclined plane having a slope of 30°.
The external force required to take the same body up the plane with the same acceleration will be: (g = 10m/s‌2)
[Online April 15, 2018]
Q.131 Correct
Q.131 In-correct
Q.131 Unattempt
A disc rotates about its axis of symmetry in a horizontal plane at a steady rate of 3.5 revolutions per second. A coin placed at a distance of 1.25cm from the axis of rotation remains at rest on the disc. The coefficient of friction between the coin and the disc is (g = 10m/s‌2)
[Online April 15, 2018]
A disc rotates about its axis of symmetry in a horizontal plane at a steady rate of 3.5 revolutions per second. A coin placed at a distance of 1.25cm from the axis of rotation remains at rest on the disc. The coefficient of friction between the coin and the disc is (g = 10m/s‌2)
[Online April 15, 2018]
Q.132 Correct
Q.132 In-correct
Q.132 Unattempt
A conical pendulum of length 1 m makes an angle θ = 45° w.r.t. Z-axis and moves in a circle in the XY plane. The radius of the circle is 0.4 m and its centre is vertically below O. The speed of the pendulum, in its circular path, will be :
(Take g = 10 ms‌–2)

[Online April 9, 2017]
A conical pendulum of length 1 m makes an angle θ = 45° w.r.t. Z-axis and moves in a circle in the XY plane.The radius of the circle is 0.4 m and its centre is vertically below O. The speed of the pendulum, in its circular path, will be :
(Take g = 10 ms‌–2)

[Online April 9, 2017]
Q.133 Correct
Q.133 In-correct
Q.133 Unattempt
A particle of mass m is acted upon by a force F given by the empirical law F=
R
t2
v(t). If this law is to be tested experimentally by observing the motion starting from rest, the best way is to plot :
[Online April 10, 2016]
A particle of mass m is acted upon by a force F given by the empirical law F=
R
t2
v(t). If this law is to be tested experimentally by observing the motion starting from rest, the best way is to plot :
[Online April 10, 2016]
Q.134 Correct
Q.134 In-correct
Q.134 Unattempt
A rocket is fired vertically from the earth with an acceleration of 2g, where g is the gravitational acceleration. On an inclined plane inside the rocket, making an angle θ with the horizontal, a point object of mass m is kept. The minimum coefficient of friction µmin between the mass and the inclined surface such that the mass does not move is:
[Online April 9, 2016]
A rocket is fired vertically from the earth with an acceleration of 2g, where g is the gravitational acceleration. On an inclined plane inside the rocket, making an angle θ with the horizontal, a point object of mass m is kept. The minimum coefficient of friction µmin between the mass and the inclined surface such that the mass does not move is:
[Online April 9, 2016]
Q.135 Correct
Q.135 In-correct
Q.135 Unattempt
A large number (n) of identical beads, each of mass m and radius r are strung on a thin smooth rigid horizontal rod of length L (L >> r) and are at rest at random positions. The rod is mounted between two rigid supports (see figure). If one of the beads is now given a speed v, the average force experienced by each support after a long time is (assume all collisions are elastic):

[Online April 11, 2015]
A large number (n) of identical beads, each of mass m and radius r are strung on a thin smooth rigid horizontal rod of length L (L >> r) and are at rest at random positions. The rod is mounted between two rigid supports (see figure). If one of the beads is now given a speed v, the average force experienced by each support after a long time is (assume all collisions are elastic):

[Online April 11, 2015]
Q.136 Correct
Q.136 In-correct
Q.136 Unattempt
Given in the figure are two blocks A and B of weight 20 N and 100 N, respectively. These are being pressed against a wall by a force F as shown. If the coefficient of friction between the blocks is 0.1 and between block B and the wall is 0.15, the frictional force applied by the wall on block B is:

[2015]
Given in the figure are two blocks A and B of weight 20 N and 100 N, respectively. These are being pressed against a wall by a force F as shown. If the coefficient of friction between the blocks is 0.1 and between block B and the wall is 0.15, the frictional force applied by the wall on block B is:

[2015]
Q.137 Correct
Q.137 In-correct
Q.137 Unattempt
A block of mass m = 10 kg rests on a horizontal table. The coefficient of friction between the block and the table is 0.05. When hit by a bullet of mass 50 g moving with speed n, that gets embedded in it, the block moves and comes to stop after moving a distance of 2 m on the table. If a freely falling object were to acquire speed
v
10
 after being dropped from height H, then neglecting energy losses and taking g= 10 ms‌–2, the value of H is close to:
[Online April 10, 2015]
A block of mass m = 10 kg rests on a horizontal table. The coefficient of friction between the block and the table is 0.05. When hit by a bullet of mass 50 g moving with speed n, that gets embedded in it, the block moves and comes to stop after moving a distance of 2 m on the table. If a freely falling object were to acquire speed
v
10
 after being dropped from height H, then neglecting energy losses and taking g= 10 ms‌–2, the value of H is close to:
[Online April 10, 2015]
Q.138 Correct
Q.138 In-correct
Q.138 Unattempt
A body of mass 5kg under the action of constant force
→
F
=Fx
^
i
+Fy
^
j
 has velocity at t=0s as
→
v
=(6
^
i
−2
^
j
)m∕s and at t=10s as
→
v
=+6
^
j
m∕s. The force
→
F
 is:
[Online April 11, 2014]
A body of mass 5kg under the action of constant force
→
F
=Fx
^
i
+Fy
^
j
 has velocity at t=0s as
→
v
=(6
^
i
−2
^
j
)m∕s and at t=10s as
→
v
=+6
^
j
m∕s. The force
→
F
 is:
[Online April 11, 2014]
Q.139 Correct
Q.139 In-correct
Q.139 Unattempt
A mass ‘m’ is supported by a massless string wound around a uniform hollow cylinder of mass m and radius R. If the string does not slip on the cylinder, with what acceleration will the mass fall or release?

[2014]
A mass ‘m’ is supported by a massless string wound around a uniform hollow cylinder of mass m and radius R. If the string does not slip on the cylinder, with what acceleration will the mass fall or release?

[2014]
Q.140 Correct
Q.140 In-correct
Q.140 Unattempt
A block of mass m is placed on a surface with a vertical cross section given by y=
x3
6
. If the coefficient of friction is 0.5, the maximum height above the ground at which the block can be placed without slipping is:
[2014]
A block of mass m is placed on a surface with a vertical cross section given by y=
x3
6
. If the coefficient of friction is 0.5, the maximum height above the ground at which the block can be placed without slipping is:
[2014]
Q.141 Correct
Q.141 In-correct
Q.141 Unattempt
Consider a cylinder of mass M resting on a rough horizontal rug that is pulled out from under it with acceleration ‘a’ perpendicular to the axis of the cylinder. What is F friction at point P? It is assumed that the cylinder does not slip.

[Online April 19, 2014]
Consider a cylinder of mass M resting on a rough horizontal rug that is pulled out from under it with acceleration ‘a’ perpendicular to the axis of the cylinder. What is F friction at point P? It is assumed that the cylinder does not slip.

[Online April 19, 2014]
Q.142 Correct
Q.142 In-correct
Q.142 Unattempt
A heavy box is to dragged along a rough horizontal floor. To do so, person A pushes it at an angle 30° from the horizontal and requires a minimum force FA, while person B pulls the box at an angle 60° from the horizontal and needs minimumforce FB . If the coefficient of friction between the box and the floor is
√3
5
, the ratio
FA
FB
 is
[Online April 19, 2014]
A heavy box is to dragged along a rough horizontal floor. To do so, person A pushes it at an angle 30° from the horizontal and requires a minimum force FA, while person B pulls the box at an angle 60° from the horizontal and needs minimumforce FB . If the coefficient of friction between the box and the floor is
√3
5
, the ratio
FA
FB
 is
[Online April 19, 2014]
Q.143 Correct
Q.143 In-correct
Q.143 Unattempt
A small ball of mass m starts at a point A with speed vo and moves along a frictionless track AB as shown. The track BC has coefficient of friction µ. The ball comes to stop at C after travelling a distance L which is:

[Online April 11, 2014]
A small ball of mass m starts at a point A with speed vo and moves along a frictionless track AB as shown. The track BC has coefficient of friction µ. The ball comes to stop at C after travelling a distance L which is:

[Online April 11, 2014]
Q.144 Correct
Q.144 In-correct
Q.144 Unattempt
A block A of mass 4 kg is placed on another block B of mass 5 kg, and the block B rests on a smooth horizontal table. If the minimum force that can be applied on A so that both the blocks move together is 12 N, the maximum force that can be applied to B for the blocks to move together will be:
[Online April 9, 2014]
A block A of mass 4 kg is placed on another block B of mass 5 kg, and the block B rests on a smooth horizontal table. If the minimum force that can be applied on A so that both the blocks move together is 12 N, the maximum force that can be applied to B for the blocks to move together will be:
[Online April 9, 2014]
Q.145 Correct
Q.145 In-correct
Q.145 Unattempt
A particle is released on a vertical smooth semicircular track from point X so that OX makes angle θ from the vertical (see figure). The normal reaction of the track on the particle vanishes at point Y where OY makes angle ϕ with the horizontal. Then:

[Online April 19, 2014]
A particle is released on a vertical smooth semicircular track from point X so that OX makes angle θ from the vertical (see figure). The normal reaction of the track on the particle vanishes at point Y where OY makes angle ϕ with the horizontal. Then:

[Online April 19, 2014]
Q.146 Correct
Q.146 In-correct
Q.146 Unattempt
Two blocks of mass M1=20 kg and M2=12 kg are connected by a metal rod of mass 8 kg. The system is pulled vertically up by applying a force of 480 N as shown. The tension at the mid-point of the rod is :

[Online April 22, 2013]
Two blocks of mass M1=20 kg and M2=12 kg are connected by a metal rod of mass 8 kg. The system is pulled vertically up by applying a force of 480 N as shown. The tension at the mid-point of the rod is :

[Online April 22, 2013]
Q.147 Correct
Q.147 In-correct
Q.147 Unattempt
A uniform sphere of weight W and radius 5 cm is being held by a string as shown in the figure. The tension in the string will be :

[Online April 9, 2013]
A uniform sphere of weight W and radius 5 cm is being held by a string as shown in the figure. The tension in the string will be :

[Online April 9, 2013]
Q.148 Correct
Q.148 In-correct
Q.148 Unattempt
A block is placed on a rough horizontal plane. A time dependent horizontal force F = kt acts on the block, where k is a positive constant. The acceleration - time graph of the block is :
[Online April 25, 2013]
A block is placed on a rough horizontal plane. A time dependent horizontal force F = kt acts on the block, where k is a positive constant. The acceleration - time graph of the block is :
[Online April 25, 2013]
Q.149 Correct
Q.149 In-correct
Q.149 Unattempt
A body starts from rest on a long inclined plane of slope 45°. The coefficient of friction between the body and the plane varies as µ = 0.3 x, where x is distance travelled down the plane. The body will have maximum speed (for g = 10 m/s‌2) when x =
[Online April 22, 2013]
A body starts from rest on a long inclined plane of slope 45°. The coefficient of friction between the body and the plane varies as µ = 0.3 x, where x is distance travelled down the plane. The body will have maximum speed (for g = 10 m/s‌2) when x =
[Online April 22, 2013]
Q.150 Correct
Q.150 In-correct
Q.150 Unattempt
A body of mass ‘m’ is tied to one end of a spring and whirled round in a horizontal plane with a constant angular velocity. The elongation in the spring is 1 cm. If the angular velocity is doubled, the elongation in the spring is 5 cm. The original length of the spring is :
[Online April 23, 2013]
A body of mass ‘m’ is tied to one end of a spring and whirled round in a horizontal plane with a constant angular velocity. The elongation in the spring is 1 cm. If the angular velocity is doubled, the elongation in the spring is 5 cm. The original length of the spring is :
[Online April 23, 2013]
Q.151 Correct
Q.151 In-correct
Q.151 Unattempt
A particle of mass m is at rest at the origin at time t=0. It is subjected to a force F(t)=F0e−bt in the x direction. Its speed v(t) is depicted by which of the following curves?
[2012]
A particle of mass m is at rest at the origin at time t=0. It is subjected to a force F(t)=F0e−bt in the x direction. Its speed v(t) is depicted by which of the following curves?
[2012]
Q.152 Correct
Q.152 In-correct
Q.152 Unattempt
This question has Statement 1 and Statement 2. Of the four choices given after the Statements, choose the one that best describes the two Statements.
Statement 1: If you push on a cart being pulled by a horse so that it does not move, the cart pushes you back with an equal and opposite force.
Statement 2: The cart does not move because the force described in statement 1 cancel each other.
[Online May 26, 2012]
This question has Statement 1 and Statement 2. Of the four choices given after the Statements, choose the one that best describes the two Statements.
Statement 1: If you push on a cart being pulled by a horse so that it does not move, the cart pushes you back with an equal and opposite force.
Statement 2: The cart does not move because the force described in statement 1 cancel each other.
[Online May 26, 2012]
Q.153 Correct
Q.153 In-correct
Q.153 Unattempt
A spring is compressed between two blocks of masses m1 and m2 placed on a horizontal frictionless surface as shown in the figure. When the blocks are released, they have initial velocity of v1 and v2 as shown. The blocks travel distances x1 and x2 respectively before coming to rest. The ratio (
x1
x2
) is

[Online May 12, 2012]
A spring is compressed between two blocks of masses m1 and m2 placed on a horizontal frictionless surface as shown in the figure. When the blocks are released, they have initial velocity of v1 and v2 as shown. The blocks travel distances x1 and x2 respectively before coming to rest.The ratio (
x1
x2
) is

[Online May 12, 2012]
Q.154 Correct
Q.154 In-correct
Q.154 Unattempt
A block of weight W rests on a horizontal floor with coefficient of static friction µ. It is desired to make the block move by applying minimum amount of force. The angle θ from the horizontal at which the force should be applied and magnitude of the force F are respectively.
[Online May 19, 2012]
A block of weight W rests on a horizontal floor with coefficient of static friction µ. It is desired to make the block move by applying minimum amount of force. The angle θ from the horizontal at which the force should be applied and magnitude of the force F are respectively.
[Online May 19, 2012]
Q.155 Correct
Q.155 In-correct
Q.155 Unattempt
An insect crawls up a hemispherical surface very slowly. The coefficient of friction between the insect and the surface is 1/3. If the line joining the centre of the hemispherical surface to the insect makes an angle α with the vertical, the maximum possible value of α so that the insect does not slip is given by

[Online May 12, 2012]
An insect crawls up a hemispherical surface very slowly. The coefficient of friction between the insect and the surface is 1/3. If the line joining the centre of the hemispherical surface to the insect makes an angle α with the vertical, the maximum possible value of α so that the insect does not slip is given by

[Online May 12, 2012]
Q.156 Correct
Q.156 In-correct
Q.156 Unattempt
The minimum force required to start pushing a body up rough (frictional coefficient µ ) inclined plane is F1 while the minimum force needed to prevent it from sliding down is F2. If the inclined plane makes an angle theta from the horizontal such that tan‌θ=2µ then the ratio
F1
F2
 is
[2011 RS]
The minimum force required to start pushing a body up rough (frictional coefficient µ ) inclined plane is F1 while the minimum force needed to prevent it from sliding down is F2. If the inclined plane makes an angle theta from the horizontal such that tan‌θ=2µ then the ratio
F1
F2
 is
[2011 RS]
Q.157 Correct
Q.157 In-correct
Q.157 Unattempt
If a spring of stiffness ' k ' is cut into parts ' A ' and ' B ' oflength lA:lB=2:3, then the stiffness of spring ' A ' is given by
[2011 RS]
If a spring of stiffness ' k ' is cut into parts ' A ' and ' B ' oflength lA:lB=2:3, then the stiffness of spring ' A ' is given by
[2011 RS]
Q.158 Correct
Q.158 In-correct
Q.158 Unattempt
Two fixed frictionless inclined planes making an angle 30° and 60° with the vertical are shown in the figure. Two blocks A and B are placed on the two planes. What is the relative vertical acceleration of A with respect to B ?

[2010]
Two fixed frictionless inclined planes making an angle 30° and 60° with the vertical are shown in the figure. Two blocks A and B are placed on the two planes. What is the relative vertical acceleration of A with respect to B ?

[2010]
Q.159 Correct
Q.159 In-correct
Q.159 Unattempt
A point P moves in counter-clockwise direction on a circular path as shown in the figure. The movement of 'P' is such that it sweeps out a length s=t3+5 , where s is in metres and t is in seconds. The radius of the path is 20 m. The acceleration of 'P' when t = 2 s is nearly.

[2010]
A point P moves in counter-clockwise direction on a circular path as shown in the figure. The movement of 'P' is such that it sweeps out a length s=t3+5 , where s is in metres and t is in seconds. The radius of the path is 20 m. The acceleration of 'P' when t = 2 s is nearly.

[2010]
Q.160 Correct
Q.160 In-correct
Q.160 Unattempt
For a particle in uniform circular motion, the acceleration
→
a
 at a point P(R,θ) on the circle of radius R is ( Here θ is measured from the x -axis )
[2010]
For a particle in uniform circular motion, the acceleration
→
a
 at a point P(R,θ) on the circle of radius R is ( Here θ is measured from the x -axis )
[2010]
Q.161 Correct
Q.161 In-correct
Q.161 Unattempt
A block of mass m is connected to another block of mass M by a spring (massless) of spring constant k. The block are kept on a smooth horizontal plane. Initially the blocks are at rest and the spring is unstretched. Then a constant force F starts acting on the block of mass M to pull it. Find the force of the block of mass m.
[2007]
A block of mass m is connected to another block of mass M by a spring (massless) of spring constant k. The block are kept on a smooth horizontal plane. Initially the blocks are at rest and the spring is unstretched. Then a constant force F starts acting on the block of mass M to pull it. Find the force of the block of mass m.
[2007]
Q.162 Correct
Q.162 In-correct
Q.162 Unattempt
A ball of mass 0.2 kg is thrown vertically upwards by applying a force by hand. If the hand moves 0.2 m while applying the force and the ball goes upto 2 m height further, find the magnitude of the force. (Consider g = 10 m/s‌2).
[2006]
A ball of mass 0.2 kg is thrown vertically upwards by applying a force by hand. If the hand moves 0.2 m while applying the force and the ball goes upto 2 m height further, find the magnitude of the force. (Consider g = 10 m/s‌2).
[2006]
Q.163 Correct
Q.163 In-correct
Q.163 Unattempt
A player caught a cricket ball of mass 150 g moving at a rate of 20 m/s. If the catching process is completed in 0.1s, the force of the blow exerted by the ball on the hand of the player is equal to
[2006]
A player caught a cricket ball of mass 150 g moving at a rate of 20 m/s. If the catching process is completed in 0.1s, the force of the blow exerted by the ball on the hand of the player is equal to
[2006]
Q.164 Correct
Q.164 In-correct
Q.164 Unattempt
A particle of mass 0.3 kg subject to a force F = – kx with k = 15 N/m . What will be its initial acceleration if it is released from a point 20 cm away from the origin ?
[2005]
A particle of mass 0.3 kg subject to a force F = – kx with k = 15 N/m . What will be its initial acceleration if it is released from a point 20 cm away from the origin ?
[2005]
Q.165 Correct
Q.165 In-correct
Q.165 Unattempt
A block is kept on a frictionless inclined surface with angle of inclination ' α '. The incline is given an acceleration ' a ' to keep the block stationary. Then a is equal to

[2005]
A block is kept on a frictionless inclined surface with angle of inclination ' α '. The incline is given an acceleration ' a ' to keep the block stationary. Then a is equal to

[2005]
Q.166 Correct
Q.166 In-correct
Q.166 Unattempt
A smooth block is released at rest on a 45° incline and then slides a distance ‘d’. The time taken to slide is ‘n’ times as much to slide on rough incline than on a smooth incline. The coefficient of friction is
[2005]
A smooth block is released at rest on a 45° incline and then slides a distance ‘d’. The time taken to slide is ‘n’ times as much to slide on rough incline than on a smooth incline. The coefficient of friction is
[2005]
Q.167 Correct
Q.167 In-correct
Q.167 Unattempt
The upper half of an inclined plane with inclination ϕ is perfectly smooth while the lower half is rough. A body starting from rest at the top will again come to rest at the bottom if the coefficient of friction for the lower half is given by
[2005]
The upper half of an inclined plane with inclination ϕ is perfectly smooth while the lower half is rough. A body starting from rest at the top will again come to rest at the bottom if the coefficient of friction for the lower half is given by
[2005]
Q.168 Correct
Q.168 In-correct
Q.168 Unattempt
Consider a car moving on a straight road with a speed of 100 m/s . The distance at which car can be stopped is [µk=5.0]
[2005]
Consider a car moving on a straight road with a speed of 100 m/s . The distance at which car can be stopped is [µk=5.0]
[2005]
Q.169 Correct
Q.169 In-correct
Q.169 Unattempt
An annular ring with inner and outer radii R1 and R2 is rolling without slipping with a uniform angular speed. The ratio of the forces experienced by the two particles situated on the inner and outer parts of the ring ,
F1
F2
 is
[2005]
An annular ring with inner and outer radii R1 and R2 is rolling without slipping with a uniform angular speed. The ratio of the forces experienced by the two particles situated on the inner and outer parts of the ring ,
F1
F2
 is
[2005]
Q.170 Correct
Q.170 In-correct
Q.170 Unattempt
Two masses m1=5g and m2=4.8kg tied to a string are hanging over a light frictionless pulley. What is the acceleration of the masses when left free to move ? (g=9.8m∕s2)

[2004]
Two masses m1=5g and m2=4.8kg tied to a string are hanging over a light frictionless pulley. What is the acceleration of the masses when left free to move ? (g=9.8m∕s2)

[2004]
Q.171 Correct
Q.171 In-correct
Q.171 Unattempt
A block rests on a rough inclined plane making an angle of 30° with the horizontal. The coefficient of static friction between the block and the plane is 0.8. If the frictional force on the block is 10 N, the mass of the block (in kg) is (take g = 10 m / s‌2 )
[2004]
A block rests on a rough inclined plane making an angle of 30° with the horizontal. The coefficient of static friction between the block and the plane is 0.8. If the frictional force on the block is 10 N, the mass of the block (in kg) is (take g = 10 m / s‌2 )
[2004]
Q.172 Correct
Q.172 In-correct
Q.172 Unattempt
Which of the following statements is FALSE for a particle moving in a circle with a constant angular speed ?
[2004]
Which of the following statements is FALSE for a particle moving in a circle with a constant angular speed ?
[2004]
Q.173 Correct
Q.173 In-correct
Q.173 Unattempt
A rocket with a lift-off mass 3.5×104kg is blasted upwards with an initial acceleration of 10m∕s2. Then the initial thrust of the blast is
[2003]
A rocket with a lift-off mass 3.5×104kg is blasted upwards with an initial acceleration of 10m∕s2. Then the initial thrust of the blast is
[2003]
Q.174 Correct
Q.174 In-correct
Q.174 Unattempt
Three forces start acting simultaneously on a particle moving with velocity,
→
v
. These forces are represented in magnitude and direction by the three sides of a triangle ABC. The particle will now move with velocity

[2003]
Three forces start acting simultaneously on a particle moving with velocity,
→
v
. These forces are represented in magnitude and direction by the three sides of a triangle ABC. The particle will now move with velocity

[2003]
Q.175 Correct
Q.175 In-correct
Q.175 Unattempt
A spring balance is attached to the ceiling of a lift. A man hangs his bag on the spring and the spring reads 49 N, when the lift is stationary. If the lift moves downward with an acceleration of 5 m/s‌2 , the reading of the spring balance will be
[2003]
A spring balance is attached to the ceiling of a lift. A man hangs his bag on the spring and the spring reads 49 N, when the lift is stationary. If the lift moves downward with an acceleration of 5 m/s‌2 , the reading of the spring balance will be
[2003]
Q.176 Correct
Q.176 In-correct
Q.176 Unattempt
A block of mass M is pulled along a horizontal frictionless surface by a rope of mass m. If a force P is applied at the free end of the rope, the force exerted by the rope on the block is
[2003]
A block of mass M is pulled along a horizontal frictionless surface by a rope of mass m. If a force P is applied at the free end of the rope, the force exerted by the rope on the block is
[2003]
Q.177 Correct
Q.177 In-correct
Q.177 Unattempt
A light spring balance hangs from the hook of the other light spring balance and a block of mass M kg hangs from the former one. Then the true statement about the scale reading is
[2003]
A light spring balance hangs from the hook of the other light spring balance and a block of mass M kg hangs from the former one. Then the true statement about the scale reading is
[2003]
Q.178 Correct
Q.178 In-correct
Q.178 Unattempt
A horizontal force of 10 N is necessary to just hold a block stationary against a wall. The coefficient of friction between the block and the wall is 0.2. The weight of the block is

[2003]
A horizontal force of 10 N is necessary to just hold a block stationary against a wall. The coefficient of friction between the block and the wall is 0.2. The weight of the block is

[2003]
Q.179 Correct
Q.179 In-correct
Q.179 Unattempt
A marble block of mass 2 kg lying on ice when given a velocity of 6 m/s is stopped by friction in 10 s. Then the coefficient of friction is
[2003]
A marble block of mass 2 kg lying on ice when given a velocity of 6 m/s is stopped by friction in 10 s. Then the coefficient of friction is
[2003]
Q.180 Correct
Q.180 In-correct
Q.180 Unattempt
A solid sphere, a hollow sphere and a ring are released from top of an inclined plane (frictionless) so that they slide down the plane. Then maximum acceleration down the plane is for (no rolling)
[2002]
A solid sphere, a hollow sphere and a ring are released from top of an inclined plane (frictionless) so that they slide down the plane. Then maximum acceleration down the plane is for (no rolling)
[2002]
Q.181 Correct
Q.181 In-correct
Q.181 Unattempt
A lift is moving down with acceleration a. A man in the lift drops a ball inside the lift. The acceleration of the ball as observed by the man in the lift and a man standing stationary on the ground are respectively
[2002]
A lift is moving down with acceleration a. A man in the lift drops a ball inside the lift. The acceleration of the ball as observed by the man in the lift and a man standing stationary on the ground are respectively
[2002]
Q.182 Correct
Q.182 In-correct
Q.182 Unattempt
When forces F1,F2,F3 are acting on a particle of mass m such that F2 and F3 are mutually perpendicular, then the particle remains stationary. If the force F1 is now removed then the acceleration of the particle is
[2002]
When forces F1,F2,F3 are acting on a particle of mass m such that F2 and F3 are mutually perpendicular, then the particle remains stationary. If the force F1 is now removed then the acceleration of the particle is
[2002]
Q.183 Correct
Q.183 In-correct
Q.183 Unattempt
Two forces are such that the sum of their magnitudes is 18 N and their resultant is 12 N which is perpendicular to the smaller force. Then the magnitudes of the forces are
[2002]
Two forces are such that the sum of their magnitudes is 18 N and their resultant is 12 N which is perpendicular to the smaller force. Then the magnitudes of the forces are
[2002]
Q.184 Correct
Q.184 In-correct
Q.184 Unattempt
A light string passing over a smooth light pulley connects two blocks of masses m1‌and‌m2 (vertically). If the acceleration of the system is g/8, then the ratio of the masses is
[2002]
A light string passing over a smooth light pulley connects two blocks of masses m1‌and‌m2 (vertically). If the acceleration of the system is g/8, then the ratio of the masses is
[2002]
Q.185 Correct
Q.185 In-correct
Q.185 Unattempt
Three identical blocks of masses m = 2 kg are drawn by a force F = 10. 2 N with an acceleration of 0. 6 ms‌−2 on a frictionless surface, then what is the tension (in N) in the string between the blocks B and C?

[2002]
Three identical blocks of masses m = 2 kg are drawn by a force F = 10. 2 N with an acceleration of 0. 6 ms‌−2 on a frictionless surface, then what is the tension (in N) in the string between the blocks B and C?

[2002]
Q.186 Correct
Q.186 In-correct
Q.186 Unattempt
One end of a massless rope, which passes over a massless and frictionless pulley P is tied to a hook C while the other end is free. Maximum tension that the rope can bear is 360 N. With what value of maximum safe acceleration (in ms‌−2) can a man of 60 kg climb on the rope?

[2002]
One end of a massless rope, which passes over a massless and frictionless pulley P is tied to a hook C while the other end is free. Maximum tension that the rope can bear is 360 N. With what value of maximum safe acceleration (in ms‌−2) can a man of 60 kg climb on the rope?

[2002]
Q.187 Correct
Q.187 In-correct
Q.187 Unattempt
The minimum velocity (in ms‌−1) with which a car driver must traverse a flat curve of radius 150 m and coefficient of friction0.6 to avoid skidding is
[2002]
The minimum velocity (in ms‌−1) with which a car driver must traverse a flat curve of radius 150 m and coefficient of friction0.6 to avoid skidding is
[2002]
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