AP EAPCET - 05 July 2022

x	0
1	1

] and B=[

8	0
7	1

] and A3=B, then x=

©

If A=[

x	0
1	1

] and B=[

8	0
7	1

If b and c are non zero real numbers. A=[

1	b	c
b	2	3
c	3	4

] and B=[

0	b	c
−b	0	2
−c	−2	0

], then det(A+B)=

©

If b and c are non zero real numbers. A=[

1	b	c
b	2	3
c	3	4

] and B=[

0	b	c
−b	0	2
−c	−2	0

If the rank of the matrix A=[

1	2	1	−1
−1	2	3	5
0	1	k	k

] is 2 and k is a real number, then k is a root of the following quadratic equation

©

If the rank of the matrix A=[

1	2	1	−1
−1	2	3	5
0	1	k	k

] is 2 and k is a real number, then k is a root of the following quadratic equation

If the solution of the system of simultaneous equations ‌

−4=0 is x=α,y=β,z=γ then α2+γ2=

©

If the solution of the system of simultaneous equations ‌

−4=0 is x=α,y=β,z=γ then α2+γ2=

)=

)=

If (x−iy)1∕3=a−ib, then the value of ‌

is

If (x−iy)1∕3=a−ib, then the value of ‌

is

A true statement among the following identities is

©

A true statement among the following identities is

If x=−5+2√−4, then the value of x4+9x3+35x2−x+4 is

©

If x=−5+2√−4, then the value of x4+9x3+35x2−x+4 is

α,β are the roots of x2−10x−8=0 with α>β. If an=αn−βn for n∈ℕ, then the value of ‌

a10−8a8

5a9

is

©

α,β are the roots of x2−10x−8=0 with α>β. If an=αn−βn for n∈ℕ, then the value of ‌

is

The number of real values of m so that the equation x2+(2m+1)x+m=0 has equal roots is

©

The number of real values of m so that the equation x2+(2m+1)x+m=0 has equal roots is

All the pairs (x.y) that satisfy the inequality 2√‌ equation √sin2x−2‌sin‌x+5 ‌

All the pairs (x.y) that satisfy the inequality 2√‌ equation √sin2x−2‌sin‌x+5 ‌

The number of solutions of the equations x+y+z=1;x2+y2+z2=1;x3+y3+z3=1 is

©

The number of solutions of the equations x+y+z=1;x2+y2+z2=1;x3+y3+z3=1 is

Given 5 different green toys, 4 different blue toys, and 3 different red toys, how many combinations of toys can be chosen taking at least one green and one blue toy?

©

Given 5 different green toys, 4 different blue toys, and 3 different red toys, how many combinations of toys can be chosen taking at least one green and one blue toy?

If ‌2nC3:‌nC3=12:1, then n=

©

If ‌2nC3:‌nC3=12:1, then n=

There are 4 oranges, 5 apples, 7 mangoes in a fruit basket. The number of ways of selecting at least one fruit from among the fruits in the basket is

©

There are 4 oranges, 5 apples, 7 mangoes in a fruit basket. The number of ways of selecting at least one fruit from among the fruits in the basket is

If ‌9C3+‌9C5=‌10Cr for some r∈N, then r=

©

If ‌9C3+‌9C5=‌10Cr for some r∈N, then r=

If the equivalent partial fraction of ‌

then the value of A+B+C=

©

If the equivalent partial fraction of ‌

then the value of A+B+C=

If cos‌θ−sin‌θ=√5‌sin‌θ, then cos‌θ+4‌sin‌θ=

©

If cos‌θ−sin‌θ=√5‌sin‌θ, then cos‌θ+4‌sin‌θ=

In a triangle ABC,tan‌

=

In a triangle ABC,tan‌

=

Let α,β be two real number such that π<(α−β)<3π. If sin‌α+sin‌β−‌

)=

Let α,β be two real number such that π<(α−β)<3π. If sin‌α+sin‌β−‌

)=

Let x‌in‌R and |x|<1. Then tanh−1x=

©

Let x‌in‌R and |x|<1. Then tanh−1x=

A farmer owns a triangular plot in Guntur. He measures the lengths of the sides of his property as 4cm,5cm and 7cm. Then the area of land of the farmer in sq. cm is

©

A farmer owns a triangular plot in Guntur. He measures the lengths of the sides of his property as 4cm,5cm and 7cm. Then the area of land of the farmer in sq. cm is

In a triangle, if b=5,c=6,tan‌

In a triangle, if b=5,c=6,tan‌

In a triangle ABC‌‌s[‌

]=

In a triangle ABC‌‌s[‌

]=

7i−4j+7k,i−6j+10k,=i−3j+4k,5i−j+5k respectively, then ABCD is

©

7i−4j+7k,i−6j+10k,=i−3j+4k,5i−j+5k respectively, then ABCD is

M and N are the mid points of the sides BC and CD of a parallelogram ABCD respectively then AM+AN=

©

M and N are the mid points of the sides BC and CD of a parallelogram ABCD respectively then AM+AN=

In △ABC, ' O ' is the circumcenter, G is the centroid then |OG|2=

©

In △ABC, ' O ' is the circumcenter, G is the centroid then |OG|2=

satisfy the condition a+b+c=0‌. If ‌|a|=1.|b|=3,|c|=4 then a⋅b+b⋅c+c⋅a=

satisfy the condition a+b+c=0‌. If ‌|a|=1.|b|=3,|c|=4 then a⋅b+b⋅c+c⋅a=

Let OA=−4i+3k,OB=14i+2j−5k.OD bisects ∠AOB and |OD|=√6, then OD=

©

Let OA=−4i+3k,OB=14i+2j−5k.OD bisects ∠AOB and |OD|=√6, then OD=

The mean deviation about the mean for the following data:

©

The mean deviation about the mean for the following data:

Three students X,Y and Z appear for an examination. The probability of X passing the examination is ‌

1

5

, the probability of Y passing the examination is ‌

1

4

and the probability of Z failing the examination is ‌

2

3

. The probability that atleast two of them pass the exam is

©

Three students X,Y and Z appear for an examination. The probability of X passing the examination is ‌

1

5

, the probability of Y passing the examination is ‌

1

4

and the probability of Z failing the examination is ‌

2

3

. The probability that atleast two of them pass the exam is

Two dice are thrown simultaneously. The probability of getting two numbers whose product is even is

©

Two dice are thrown simultaneously. The probability of getting two numbers whose product is even is

From a pack of 52 cards, 3 cards are drawn at random. Then, the probability that one is ace, one is queen and one is jack is

©

From a pack of 52 cards, 3 cards are drawn at random. Then, the probability that one is ace, one is queen and one is jack is

There are 4 hotels in a town. If 3 men check into the hotels in a day then the probability that each checks into a different hotel is

©

There are 4 hotels in a town. If 3 men check into the hotels in a day then the probability that each checks into a different hotel is

It is given that the discrete random variable is X∼B(n,p) and P(X=2)=P(X=3). Then mean of X is

©

It is given that the discrete random variable is X∼B(n,p) and P(X=2)=P(X=3). Then mean of X is

If ' 3 ' is the variance of Poisson distribution, then P(1<x<4)=

©

If ' 3 ' is the variance of Poisson distribution, then P(1<x<4)=

Suppose a point P moves so that BP2−AP2=121, where A and B are (2,5) and (5,11) respectively. Then the locus of P is a straight line, whose slope is

©

Suppose a point P moves so that BP2−AP2=121, where A and B are (2,5) and (5,11) respectively. Then the locus of P is a straight line, whose slope is

If two distinct points lying at a unit distance from 4x+3y−10=0 and passing through x+y=4 are separated by a distance d, then the value of d is

©

If two distinct points lying at a unit distance from 4x+3y−10=0 and passing through x+y=4 are separated by a distance d, then the value of d is

Suppose P(x, y) lying on √3x−y+2=0 or √3x+y−2=0 is at a distance of 5 units from their point of intersection. Then the distance from (0,0) to the foot of the perpendicular of P onto the y-axis is

©

Suppose P(x, y) lying on √3x−y+2=0 or √3x+y−2=0 is at a distance of 5 units from their point of intersection. Then the distance from (0,0) to the foot of the perpendicular of P onto the y-axis is

If A(−3,3),B(1,1),C(1,−1) and D(−2,−2) are the vertices of a quadrilateral, the angle between the diagonals AC and BD is

©

If A(−3,3),B(1,1),C(1,−1) and D(−2,−2) are the vertices of a quadrilateral, the angle between the diagonals AC and BD is

Suppose the pairs of straight lines 2x2+axy+3y2=0 and 2x2+bxy−3y2=0 are such that they have one common line with the other two remaining perpendicular. Then the values of a and b respectively are

©

Suppose the pairs of straight lines 2x2+axy+3y2=0 and 2x2+bxy−3y2=0 are such that they have one common line with the other two remaining perpendicular. Then the values of a and b respectively are

The locus of the incentre of the triangle formed by the lines xy−4x−4y+16=0 and x+y=5 is

©

The locus of the incentre of the triangle formed by the lines xy−4x−4y+16=0 and x+y=5 is

The circle touching the y-axis at a distance 4 units from the origin and cutting off an intercept 6 from x-axis is

©

The circle touching the y-axis at a distance 4 units from the origin and cutting off an intercept 6 from x-axis is

The set of all points that are at a distance of at least 2 units from (−3,0) is

©

The set of all points that are at a distance of at least 2 units from (−3,0) is

The circle touching the coordinate axes with its centre lying on x−2y−3=0 is

©

The circle touching the coordinate axes with its centre lying on x−2y−3=0 is

Suppose a circle passes through (0,a) and (b,h) having its center at (c,0). Then the value of c is

©

Suppose a circle passes through (0,a) and (b,h) having its center at (c,0). Then the value of c is

For a circle of diameter R, touching x2+y2−4y=0 and passing through (4,5), which of the following is correct?

©

For a circle of diameter R, touching x2+y2−4y=0 and passing through (4,5), which of the following is correct?

The distance of the point (6,4√3) from the focus of y2=8x is

©

The distance of the point (6,4√3) from the focus of y2=8x is

The distance between the directrices of the ellipse ‌

The distance between the directrices of the ellipse ‌

If √5y−√8=0 is the equation of the directrix of a hyperbola ‌

is its eccentricity then a=

©

If √5y−√8=0 is the equation of the directrix of a hyperbola ‌

is its eccentricity then a=

The locus of the point of intersection of the tangents at the end-points of normal chords of the hyperbola ‌

The locus of the point of intersection of the tangents at the end-points of normal chords of the hyperbola ‌

If the centroid of triangle whose vertices are (a,1,3),(−2,b,−5) and (4,7,c) be the origin, then a2+b2+c2=

©

If the centroid of triangle whose vertices are (a,1,3),(−2,b,−5) and (4,7,c) be the origin, then a2+b2+c2=

If α,2α,3α are angles made by a ray with OX,OY,OZ axes respectively then all the possible values of α are

©

If α,2α,3α are angles made by a ray with OX,OY,OZ axes respectively then all the possible values of α are

are the intercepts made by a plane on X,Y,Z− axes respectively then the direction cosines of a normal to this plane are

are the intercepts made by a plane on X,Y,Z− axes respectively then the direction cosines of a normal to this plane are

]=

]=

If a>0,[⋅] denotes greatest integer function and

If a>0,[⋅] denotes greatest integer function and

=

=

is continuous at x=π/2, then αβ=

is continuous at x=π/2, then αβ=

f:R→R is a function such that |f(x)−f(y)|≤‌

1

2

|x−y|‌∀x,y∈R and f′(x)≥1/2‌‌∀x∈R,f(1)=1/2

©

f:R→R is a function such that |f(x)−f(y)|≤‌

1

2

|x−y|‌∀x,y∈R and f′(x)≥1/2‌‌∀x∈R,f(1)=1/2

=yn and y=e√x+e−√x, then 4xy2+2y1=

=yn and y=e√x+e−√x, then 4xy2+2y1=

If the two curves y=ax and y=bx intersect at angle α, then tan‌α=

©

If the two curves y=ax and y=bx intersect at angle α, then tan‌α=

The area of the triangle formed by the tangent to the curve xy=a2 at (x1,y1) on it and the axes is

©

The area of the triangle formed by the tangent to the curve xy=a2 at (x1,y1) on it and the axes is

If the slope of the line through (0,0) which is tangent to the curve y=x2+x+16 is m, then the value of m−4 is

©

If the slope of the line through (0,0) which is tangent to the curve y=x2+x+16 is m, then the value of m−4 is

In the interval (7,∞),f(x)=|x−5|+2x−7| is

©

In the interval (7,∞),f(x)=|x−5|+2x−7| is

If the line ax+by+c=0 is a normal to the curve xy=1, then

©

If the line ax+by+c=0 is a normal to the curve xy=1, then

There exist θ such that a>|sec‌θ|, then ∫‌

dx

1+a‌cos‌x

=

©

There exist θ such that a>|sec‌θ|, then ∫‌

=

dx=

dx=

[. ] represents a greatest integer function. If

∫

√3

√18[x]dx=a+b√2+c√3, then a+b+c=

©

[. ] represents a greatest integer function. If

∫

√3

√18[x]dx=a+b√2+c√3, then a+b+c=

dx=

dx=

dx=

dx=

dx=

dx=

The integrating factor of the linear directional equation ‌dy∕dx+P(x)y=Q(x) is a solution of the differential equation

©

The integrating factor of the linear directional equation ‌dy∕dx+P(x)y=Q(x) is a solution of the differential equation

If the slope of the tangent at a point (x.y) on a curve is ‌

y−4

x−3

and the curve passes through (4,3), then the point where it cuts the line y=x is

©

If the slope of the tangent at a point (x.y) on a curve is ‌

y−4

x−3

and the curve passes through (4,3), then the point where it cuts the line y=x is

By multiplying with e∫Pdx on both sides of the equation ‌

dy

dx

+P(x)y=Q(x), the left side of the equation takes the form ‌

By multiplying with e∫Pdx on both sides of the equation ‌

dy

dx

+P(x)y=Q(x), the left side of the equation takes the form ‌

If the dimensional formula of ' (Energy × speed)' is [MaLbTc] then a,b and c are

©

If the dimensional formula of ' (Energy × speed)' is [MaLbTc] then a,b and c are

When a ball is dropped from a height h it takes t sec to reach the ground. If the same experiment in done on a different planet having the mass 100 times the earth's mass and radius 10 times the earth's radius, then the time it will take to cover the same height in the new planet is

©

When a ball is dropped from a height h it takes t sec to reach the ground. If the same experiment in done on a different planet having the mass 100 times the earth's mass and radius 10 times the earth's radius, then the time it will take to cover the same height in the new planet is

The dot product of unit vectors

2 that are parallel to 5

The dot product of unit vectors

2 that are parallel to 5

A sphere rolls down from the top of an inclined plane which makes an angle 30∘ with the edge of a horizontal roof of a house. If the highest and lowest points of the inclined plane are 8.75m and 3.75m respectively from the ground then the horizontal distance from the lower edge of the roof at which the sphere hits the ground is
(acceleration due to gravity =10ms−2 )

©

A sphere rolls down from the top of an inclined plane which makes an angle 30∘ with the edge of a horizontal roof of a house. If the highest and lowest points of the inclined plane are 8.75m and 3.75m respectively from the ground then the horizontal distance from the lower edge of the roof at which the sphere hits the ground is
(acceleration due to gravity =10ms−2 )

At the moment t=0, a time dependent force F= at (where a is constant equal to 1Ns−1 ) is applied to a body of mass 1kg resting on a smooth horizontal plane as shown in the figure. If the direction of this force makes an angle 45∘ with the horizontal, then the velocity of the body at the moment it leaves the plane is
(acceleration due to gravity =10ms−2 )

©

At the moment t=0, a time dependent force F= at (where a is constant equal to 1Ns−1 ) is applied to a body of mass 1kg resting on a smooth horizontal plane as shown in the figure. If the direction of this force makes an angle 45∘ with the horizontal, then the velocity of the body at the moment it leaves the plane is
(acceleration due to gravity =10ms−2 )

An object of mass 3kg is tied by a string of negligible mass to a ceiling and held such that the string is taut. The object is released suddenly such that the string remains taut. It's acceleration when released is (acceleration due to gravity =10ms−2 )

©

An object of mass 3kg is tied by a string of negligible mass to a ceiling and held such that the string is taut. The object is released suddenly such that the string remains taut. It's acceleration when released is (acceleration due to gravity =10ms−2 )

−15jN, acts on a body resulting in a displacement of 6‌hat‌

∧

i

. If the body had a kinetic energy of 7 joules at the beginning of the displacement, the kinetic energy at the end of the displacement is

−15jN, acts on a body resulting in a displacement of 6‌hat‌

∧

i

. If the body had a kinetic energy of 7 joules at the beginning of the displacement, the kinetic energy at the end of the displacement is

Consider a force F=Kx2, which acts on a particle at rest. The work done by the force for displacement of 2m is (K=2Nm−3)

©

Consider a force F=Kx2, which acts on a particle at rest. The work done by the force for displacement of 2m is (K=2Nm−3)

The centre of mass of a homogenous semi-circular plate of radius r is located at A as shown in the figure. The distance OA is

©

The centre of mass of a homogenous semi-circular plate of radius r is located at A as shown in the figure. The distance OA is

The angular momentum of a wheel having a rotational inertia of 0.2kgm2 about its symmetric axis decreases from 4 to 2kgm2s−1 in 4s. The average power of the wheel is

©

The angular momentum of a wheel having a rotational inertia of 0.2kgm2 about its symmetric axis decreases from 4 to 2kgm2s−1 in 4s. The average power of the wheel is

A pendulum is oscillating at a frequency of 8Hz. Suddenly the string of the pendulum is clamped at its midpoint then the new frequency of oscillations is

©

A pendulum is oscillating at a frequency of 8Hz. Suddenly the string of the pendulum is clamped at its midpoint then the new frequency of oscillations is

Time period of a simple pendulum is 4s at a place on the earth where the acceleration due to gravity is π2ms−2. Then the length of the pendulum in meters is

©

Time period of a simple pendulum is 4s at a place on the earth where the acceleration due to gravity is π2ms−2. Then the length of the pendulum in meters is

Two planets, A and B orbit around a star such that time period of A is 8 times the time period of B. The ratio of orbital velocities of the planets A and B is

©

Two planets, A and B orbit around a star such that time period of A is 8 times the time period of B. The ratio of orbital velocities of the planets A and B is

A copper wire of length 2.4m and an aluminum wire of length 0.7m, both having diameter 2mm, are connected end to end. When stretched by a load, the obtained elongation is found to be 0.6mm. The applied load is (Young's modulus of copper =1.2×1011Nm−2 and Young's modulus of aluminum =0.7×1011Nm−2 )

©

A copper wire of length 2.4m and an aluminum wire of length 0.7m, both having diameter 2mm, are connected end to end. When stretched by a load, the obtained elongation is found to be 0.6mm. The applied load is (Young's modulus of copper =1.2×1011Nm−2 and Young's modulus of aluminum =0.7×1011Nm−2 )

Energy needed in breaking a liquid drop of radius R, into n smaller drops each of radius r, is
[T - Surface tension of the liquid]

©

Energy needed in breaking a liquid drop of radius R, into n smaller drops each of radius r, is
[T - Surface tension of the liquid]

An object of mass 10kg is released from rest in a liquid. If the object moves a distance of 2m while sinking in time duration of 1s, then the mass of the liquid displaced by the submerged object is (Acceleration due to gravity =10ms−2 )

©

An object of mass 10kg is released from rest in a liquid. If the object moves a distance of 2m while sinking in time duration of 1s, then the mass of the liquid displaced by the submerged object is (Acceleration due to gravity =10ms−2 )

The amount of heat needed to heat 200 grams of ice at −10∘C to convert it into water at 30∘C is
Specific heat capacity of ice =2100Jkg−1K−1
Specific heat capacity of water =4186Jkg−1K−1
Latent heat of fusion of ice =3.35×105Jkg−1

©

The amount of heat needed to heat 200 grams of ice at −10∘C to convert it into water at 30∘C is
Specific heat capacity of ice =2100Jkg−1K−1
Specific heat capacity of water =4186Jkg−1K−1
Latent heat of fusion of ice =3.35×105Jkg−1

A Carnot engine operating between temperatures 600K and 300K, absorbs 800J of heat from the source. The mechanical work done per cycle is

©

A Carnot engine operating between temperatures 600K and 300K, absorbs 800J of heat from the source. The mechanical work done per cycle is

A body cools down from 75∘C to 65∘C in 10 minutes. It will cool down from 65∘C to 55∘C in a time

©

A body cools down from 75∘C to 65∘C in 10 minutes. It will cool down from 65∘C to 55∘C in a time

The rms speed of oxygen and room temperature is about 500ms−1. The rms speed of hydrogen at the same temperature is about

©

The rms speed of oxygen and room temperature is about 500ms−1. The rms speed of hydrogen at the same temperature is about

Among the following, the equation representing a progressive wave is
(A) y=2‌cos‌3‌x‌sin‌10‌t
(B) y=2√x−vt
(C) y=3‌sin(5x−0.5t)+4‌cos(5x−0.5t)
(D) y=cos‌x‌sin‌t+cos‌2‌x⋅sin‌2‌t

©

Among the following, the equation representing a progressive wave is
(A) y=2‌cos‌3‌x‌sin‌10‌t
(B) y=2√x−vt
(C) y=3‌sin(5x−0.5t)+4‌cos(5x−0.5t)
(D) y=cos‌x‌sin‌t+cos‌2‌x⋅sin‌2‌t

A beam of light both reflects and refracts at the surface between air and glass. The index of refraction of the glass is 1.4. If the refracted and the reflected rays are perpendicular to each other, then the angle of incidence in the air is

©

A beam of light both reflects and refracts at the surface between air and glass. The index of refraction of the glass is 1.4. If the refracted and the reflected rays are perpendicular to each other, then the angle of incidence in the air is

A ray of light is incident at 30∘ from a medium of refractive index 2 into a medium of refractive index 1 , then the angle of refraction is

©

A ray of light is incident at 30∘ from a medium of refractive index 2 into a medium of refractive index 1 , then the angle of refraction is

A charge Q is to be divided between two objects. The values of the charges on the objects so that the electrostatic force between them will be maximum is

©

A charge Q is to be divided between two objects. The values of the charges on the objects so that the electrostatic force between them will be maximum is

In a space having electric field

) the potential at a point (10m,20m) is zero, then the potential at the origin is [A=10Vm−2]

©

In a space having electric field

) the potential at a point (10m,20m) is zero, then the potential at the origin is [A=10Vm−2]

Electric potential due to a space is given by φ(x,y,z)=φ0‌

x0

x

; when x0=5m and φ0=8V. Find the electric field at (10m,5m.5m)

©

Electric potential due to a space is given by φ(x,y,z)=φ0‌

x0

x

; when x0=5m and φ0=8V. Find the electric field at (10m,5m.5m)

The quantities that don't change when a resistor connected to a battery is heated due to the current are
(A) drift speed
(B) resistivity
(C) Resistance
(D) Number of free electrons

©

The quantities that don't change when a resistor connected to a battery is heated due to the current are
(A) drift speed
(B) resistivity
(C) Resistance
(D) Number of free electrons

A battery with a 12V emf has an initial charge of 80A.h. If the potential across the terminals stays constant until battery is completely discharged, then this battery can deliver energy at the rate of 120W for a time

©

A battery with a 12V emf has an initial charge of 80A.h. If the potential across the terminals stays constant until battery is completely discharged, then this battery can deliver energy at the rate of 120W for a time

An isosceles triangular current carrying loop is kept perpendicularly in a uniform magnetic field

→

B

0 as shown in figure. The force on the loop due to magnetic field is

©

An isosceles triangular current carrying loop is kept perpendicularly in a uniform magnetic field

→

B

0 as shown in figure. The force on the loop due to magnetic field is

A charged particle is moving in a uniform magnetic field penetrates a layer of lead and thereby loses half of its kinetic energy, then the radius of curvature of its path is

©

A charged particle is moving in a uniform magnetic field penetrates a layer of lead and thereby loses half of its kinetic energy, then the radius of curvature of its path is

A short bar magnet placed with its axis at 45∘ with a uniform external magnetic field of 28.3×10−3T experiences a torque of magnitude equal to 3.6×10−5J. The magnitude of magnetic moment of the magnet is nearly

©

A short bar magnet placed with its axis at 45∘ with a uniform external magnetic field of 28.3×10−3T experiences a torque of magnitude equal to 3.6×10−5J. The magnitude of magnetic moment of the magnet is nearly

A metal loop of area 10cm2 is placed in a region such that its area vector points along

∧

k

. The region contains a uniform magnetic field of magnitude 1.73T that points in the direction

. When the magnetic field is switched off, the field decreases to zero at a steady rate in 10s, then the magnitude of emf induced in the loop is

©

A metal loop of area 10cm2 is placed in a region such that its area vector points along

∧

k

. The region contains a uniform magnetic field of magnitude 1.73T that points in the direction

. When the magnetic field is switched off, the field decreases to zero at a steady rate in 10s, then the magnitude of emf induced in the loop is

A 70mH inductor is connected to 220V,50HzAC supply. The rms value of the current in the circuit is

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A 70mH inductor is connected to 220V,50HzAC supply. The rms value of the current in the circuit is

A plane electromagnetic wave of frequency 50MHz travels in free space. If the average energy densities in the electric field and magnetic field are KE and KB respectively, then the correct option in the following is

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A plane electromagnetic wave of frequency 50MHz travels in free space. If the average energy densities in the electric field and magnetic field are KE and KB respectively, then the correct option in the following is

The correct order of electromagnetic waves with increasing frequency is

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The correct order of electromagnetic waves with increasing frequency is

A particle of mass 2×10−27kg has de-Broglie wavelength of 3.3×10−10m. The kinetic energy of this particle is
(Plank's Constant h=6.6×10−34J−s )

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A particle of mass 2×10−27kg has de-Broglie wavelength of 3.3×10−10m. The kinetic energy of this particle is
(Plank's Constant h=6.6×10−34J−s )

The ratio of radii of 3‌rd ‌ and 6‌th ‌ Bohr's orbit in a hydrogen atom is

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The ratio of radii of 3‌rd ‌ and 6‌th ‌ Bohr's orbit in a hydrogen atom is

The frequency of the light emitted when an electron comes down from n=4 to n=2 level in hydrogen atom is ‌

3

7

times of the following transition of the Li atom

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The frequency of the light emitted when an electron comes down from n=4 to n=2 level in hydrogen atom is ‌

3

7

times of the following transition of the Li atom

The values of Y and Z in the given logic circuit are

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The values of Y and Z in the given logic circuit are

The frequency suitable beyond the horizon communication using sky wave is

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The frequency suitable beyond the horizon communication using sky wave is

The wavelength of electron in the first orbit of hydrogen atom is 3.3×10−10m. The kinetic energy of electron (in J) is
(h=6.6×10−34Js,me=9.0×10−31kg)

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The wavelength of electron in the first orbit of hydrogen atom is 3.3×10−10m. The kinetic energy of electron (in J) is
(h=6.6×10−34Js,me=9.0×10−31kg)

Maximum number of electrons possible with spin quantum number +‌

1

2

with principal quantum number n=4 in an atom is

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Maximum number of electrons possible with spin quantum number +‌

1

2

with principal quantum number n=4 in an atom is

In which of the following, the elements Al,B,Mg and K are correctly arranged in the increasing order of their metallic character?

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In which of the following, the elements Al,B,Mg and K are correctly arranged in the increasing order of their metallic character?

The number of valence electrons present in an element with atomic number 117 is

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The number of valence electrons present in an element with atomic number 117 is

The combination of which of the following gives an ionic compound with maximum covalent character.

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The combination of which of the following gives an ionic compound with maximum covalent character.

The tetra atomic molecules\/ions with different shapes are

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The tetra atomic molecules\/ions with different shapes are

Find the false statement for ideal gases.

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Find the false statement for ideal gases.

Which of the following reactions is not a disproportionation reaction?

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Which of the following reactions is not a disproportionation reaction?

Which of the following is not a disproportionation reaction?

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Which of the following is not a disproportionation reaction?

For a reaction 2CO(g)+O2(g)⇌2CO2(g),∆rG0=−128kJ at 300K. If ∆rS∘ of the reaction is −40JK−1, calculate ∆rU of the reaction.

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For a reaction 2CO(g)+O2(g)⇌2CO2(g),∆rG0=−128kJ at 300K. If ∆rS∘ of the reaction is −40JK−1, calculate ∆rU of the reaction.

Which of the following equations are correct?
(A) U=H−PV
(B) G=H−TS
(C) U=q+W

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Which of the following equations are correct?
(A) U=H−PV
(B) G=H−TS
(C) U=q+W

For a reaction A(g)+‌

1

2

B(g)⇌C(g)+‌ heat ‌ favorable conditions for the reaction to occur in the forward direction are

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For a reaction A(g)+‌

1

2

B(g)⇌C(g)+‌ heat ‌ favorable conditions for the reaction to occur in the forward direction are

The Ka values of A,B and C are 1.8×10−4,5×10−10 and 3×10−8 respectively. The correct order of their acidic strength is

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The Ka values of A,B and C are 1.8×10−4,5×10−10 and 3×10−8 respectively. The correct order of their acidic strength is

Identify the correct statements from the following:
(I) The formula of Calgon is Na6(PO3)6
(II) Exhausted permutit is regenerated by aqueous KCl solution.
(III) Calcium stearate is soluble in water.
(IV) In ice crystals, each oxygen is surrounded by four oxygen atoms.

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Identify the correct statements from the following:
(I) The formula of Calgon is Na6(PO3)6
(II) Exhausted permutit is regenerated by aqueous KCl solution.
(III) Calcium stearate is soluble in water.
(IV) In ice crystals, each oxygen is surrounded by four oxygen atoms.

The compound that is used in smoke screens is

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The compound that is used in smoke screens is

Metal ' M ' in the following reaction is
2MNO3→M2O+2NO2+

1

2

O2

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Metal ' M ' in the following reaction is
2MNO3→M2O+2NO2+

O2

The reaction of diborane in diethyl ether with X gives metalborohydride. X is a

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The reaction of diborane in diethyl ether with X gives metalborohydride. X is a

The correct statements with respect to halides of group 14 elements are
I. Both CCl4 and SiCl4 undergo hydrolysis.
II. GeX4 is more stable than GeX2
III. PbX4 is less stable than PbX2
IV. Stability of dihalides decreases down the group.

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The correct statements with respect to halides of group 14 elements are
I. Both CCl4 and SiCl4 undergo hydrolysis.
II. GeX4 is more stable than GeX2
III. PbX4 is less stable than PbX2
IV. Stability of dihalides decreases down the group.

The correct order of acidic nature of the following alkynes is
I. C2H2
II. (CH3)2C2
III. (CH3)C2H

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The correct order of acidic nature of the following alkynes is
I. C2H2
II. (CH3)2C2
III. (CH3)C2H

The product ' Q ' of the following reactions is

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The product ' Q ' of the following reactions is

The anions (A) of CpAq molecule forms an fcc lattice. Cations (C) are positioned at the body center and half of the edge centers. The formula of the molecule is

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The anions (A) of CpAq molecule forms an fcc lattice. Cations (C) are positioned at the body center and half of the edge centers. The formula of the molecule is

Elements A and B have fcc and bcc structures respectively with a unit cell edge length of 3A0 for both elements. The no of atoms in 210gm of A is equal to 594gm of B. If density of A is 7gcm−3, what is the density of B ?

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Elements A and B have fcc and bcc structures respectively with a unit cell edge length of 3A0 for both elements. The no of atoms in 210gm of A is equal to 594gm of B. If density of A is 7gcm−3, what is the density of B ?

Which of the following condition is correct for reverse osmosis?
[C= Concentration of solution in mol L−1:T= Temperature in Kelvin scale; n= no of moles of solute]

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Which of the following condition is correct for reverse osmosis?
[C= Concentration of solution in mol L−1:T= Temperature in Kelvin scale; n= no of moles of solute]

Which of the following pair of solutions is isotonic?
A. 18g/L of glucose of solution and 6g/L of Urea solution
B. 10g/L of glucose solution and 10g/L of Urea solution
C. 0.01MNaOH solution and 0.02M glucose solution
D. 0.01MNaCl solution and 0.01M glucose solution
(Assume that NaCl undergoes complete dissociation)

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Which of the following pair of solutions is isotonic?
A. 18g/L of glucose of solution and 6g/L of Urea solution
B. 10g/L of glucose solution and 10g/L of Urea solution
C. 0.01MNaOH solution and 0.02M glucose solution
D. 0.01MNaCl solution and 0.01M glucose solution
(Assume that NaCl undergoes complete dissociation)

Resistance of a conductivity cell filled with 0.1‌mol‌L−1‌NaCl is 100Ohm. If the resistance of the same cell when filled with 0.02‌mol‌L−1‌NaCl solution is 258‌ohm, the conductivity of 0.02‌mol‌L−1‌NaCl solution is (Conductivity of 0.1‌mol‌L‌‌−1‌NaCl is 1.29Sm−1 )

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Resistance of a conductivity cell filled with 0.1‌mol‌L−1‌NaCl is 100Ohm. If the resistance of the same cell when filled with 0.02‌mol‌L−1‌NaCl solution is 258‌ohm, the conductivity of 0.02‌mol‌L−1‌NaCl solution is (Conductivity of 0.1‌mol‌L‌‌−1‌NaCl is 1.29Sm−1 )

CH3CO2C2H5+H2O→CH3CO2H+C2H5OH
Rate =k[H2O][CH3CO2C2H5]
The initial concentrations of ethyl acetate and water are 0.001M and 2M respectively. The value of rate constant, k of the reaction, if 99% of ethyl acetate is hydrolyzed in 10 seconds is

CH3CO2C2H5+H2O→CH3CO2H+C2H5OH

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CH3CO2C2H5+H2O→CH3CO2H+C2H5OH
Rate =k[H2O][CH3CO2C2H5]
The initial concentrations of ethyl acetate and water are 0.001M and 2M respectively. The value of rate constant, k of the reaction, if 99% of ethyl acetate is hydrolyzed in 10 seconds is

CH3CO2C2H5+H2O→CH3CO2H+C2H5OH

The sol formed in the following unbalanced equation is
As2O3+H2S→

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The sol formed in the following unbalanced equation is
As2O3+H2S→

The colloidal solution used to treat stomach disorders is

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The colloidal solution used to treat stomach disorders is

The element with highest electronegativity value after fluorine is

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The element with highest electronegativity value after fluorine is

The shapes of XeF2,XeF4, and XeO3 respectively are

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The shapes of XeF2,XeF4, and XeO3 respectively are

Calculated magnetic moment value for Fe2+ ion in BM is

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Calculated magnetic moment value for Fe2+ ion in BM is

In ruby and emerald, the metal ion(s) present is/are

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In ruby and emerald, the metal ion(s) present is/are

Curdling of milk is caused due to the formation of which of the following acids by the bacteria?

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Curdling of milk is caused due to the formation of which of the following acids by the bacteria?

What is the functional group present in serine, an aminoacidic in addition to −NH2 and - COOH groups?

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What is the functional group present in serine, an aminoacidic in addition to −NH2 and - COOH groups?

The rate for SN1 reaction will be faster for which of the following bromides?

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The rate for SN1 reaction will be faster for which of the following bromides?

Assertion (A): I- Bromopentane reacts with AgCN to give pentylisocyanide
Reason (R): AgCN is mainly ionic in nature

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Assertion (A): I- Bromopentane reacts with AgCN to give pentylisocyanide
Reason (R): AgCN is mainly ionic in nature

Identify the major product from the following reaction sequence

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Identify the major product from the following reaction sequence

Identify the major product formed from the following

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Identify the major product formed from the following

On electrolysis of aqueous solution of sodium butanoate gives a hydrocarbon. The number of carbon atoms present in hydrocarbon are

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On electrolysis of aqueous solution of sodium butanoate gives a hydrocarbon. The number of carbon atoms present in hydrocarbon are

Gabriel phthalimide synthesis is used for the preparation of which of the following?

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Gabriel phthalimide synthesis is used for the preparation of which of the following?

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