AP EAPCET - 08 July 2022

5	a	−7
b	−7	c
−7	d	−1

) is the adjoint of the matrix (

1	2	3
2	3	1
3	1	2

), then a+b+c+d=

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If (

5	a	−7
b	−7	c
−7	d	−1

) is the adjoint of the matrix (

1	2	3
2	3	1
3	1	2

The rank of the matrix A=[

1	−1	0	−2
−4	4	0	8
−2	1	2	4

] is

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The rank of the matrix A=[

1	−1	0	−2
−4	4	0	8
−2	1	2	4

1	1	a+1
1	a+1	1
a+1	1	1

] is not an invertible matrix, then the sum of all the values of a is

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If A=[

1	1	a+1
1	a+1	1
a+1	1	1

] is not an invertible matrix, then the sum of all the values of a is

If (x−iy)1∕3=2−i√3 and the point z=(x,y) lies on the line ‌

If (x−iy)1∕3=2−i√3 and the point z=(x,y) lies on the line ‌

|=2, then the maximum value of |z| is

|=2, then the maximum value of |z| is

A complex number z among the following which does not satisfy z3+27i=0 is

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A complex number z among the following which does not satisfy z3+27i=0 is

If |z−3i|+|z+5i|=4, then the locus of z is

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If |z−3i|+|z+5i|=4, then the locus of z is

The number of pairs of consecutive positive even integers such that the sum of their squares is 290 is

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The number of pairs of consecutive positive even integers such that the sum of their squares is 290 is

The range of the function f(x)=‌

x

x2−5x+9

is

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The range of the function f(x)=‌

is

If y2+z2=ayz,z2+x2=bxz,x2+y2= cxy then, the value of ‌

is

If y2+z2=ayz,z2+x2=bxz,x2+y2= cxy then, the value of ‌

is

If α,β are the roots of the equation 2x2+6x+k=0, then the maximum value of [‌

If α,β are the roots of the equation 2x2+6x+k=0, then the maximum value of [‌

If ‌n−3Cr+Bn−3Cr−1+B1‌n−3Cr−2+‌n−3Cr−3=‌nCr holds for all n≥r≥3, then (B,B1)=

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If ‌n−3Cr+Bn−3Cr−1+B1‌n−3Cr−2+‌n−3Cr−3=‌nCr holds for all n≥r≥3, then (B,B1)=

A student is to answer 10 out of 13 questions in an examination such that he must choose at least 4 from the first five questions. The number of choices available to him is

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A student is to answer 10 out of 13 questions in an examination such that he must choose at least 4 from the first five questions. The number of choices available to him is

The number of ways of dividing 200 dissimilar things into 10 groups each containing 20 elements is

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The number of ways of dividing 200 dissimilar things into 10 groups each containing 20 elements is

In how many different ways can three persons A,B,C having 6,7 and 8 one rupee coins respectively, donate Rs. 10 collectively?

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In how many different ways can three persons A,B,C having 6,7 and 8 one rupee coins respectively, donate Rs. 10 collectively?

In a triangle ABC,sin‌2‌A+sin‌2‌B+sin‌2‌C=

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In a triangle ABC,sin‌2‌A+sin‌2‌B+sin‌2‌C=

Let tan‌30∘ and tan‌15∘ be the roots of the quadratic equation x2+ax+b=0, then 1+a−b=

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Let tan‌30∘ and tan‌15∘ be the roots of the quadratic equation x2+ax+b=0, then 1+a−b=

=

=

In a triangle ABC, if r1>r2>r3, then which of the following is true?

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In a triangle ABC, if r1>r2>r3, then which of the following is true?

If k∈R is such that the equation 2cosh2x=3‌sinh‌x+k has no real solution, then which of the following is correct?

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If k∈R is such that the equation 2cosh2x=3‌sinh‌x+k has no real solution, then which of the following is correct?

In a triangle ABC, if ∠A=60∘, then (a+b+c)(b+c−a)=

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In a triangle ABC, if ∠A=60∘, then (a+b+c)(b+c−a)=

In a triangle ABC, if r1=12,r2=18 and r3=36, then b=

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In a triangle ABC, if r1=12,r2=18 and r3=36, then b=

If r1,r2 and r3 of a triangle ABC are in Harmonic progression, then a,b and c will be in

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If r1,r2 and r3 of a triangle ABC are in Harmonic progression, then a,b and c will be in

If a,b be two non collinear vectors and the vector a+b bisects the angle between a and b, then

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If a,b be two non collinear vectors and the vector a+b bisects the angle between a and b, then

OABCD is a pentagon in which the sides OA and CB are parallel and the sides OD and AB are parallel. Also, it is given that ‌

If OA=a,OD=d, then AD+OC+DC=

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OABCD is a pentagon in which the sides OA and CB are parallel and the sides OD and AB are parallel. Also, it is given that ‌

If OA=a,OD=d, then AD+OC+DC=

If the points P=i+2j,Q=4i+6j,R=5i+7j,S=ai+bj are the consecutive vertices of a parallelogram PQRS, then

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If the points P=i+2j,Q=4i+6j,R=5i+7j,S=ai+bj are the consecutive vertices of a parallelogram PQRS, then

If a=4i+6j,b=3j+4k and c is the projection vector of a on b, then c and |c| respectively are

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If a=4i+6j,b=3j+4k and c is the projection vector of a on b, then c and |c| respectively are

The distance between a point P whose position vector is 5i+j+3k and the line r=(3i+7j+k)+t(j+k) is

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The distance between a point P whose position vector is 5i+j+3k and the line r=(3i+7j+k)+t(j+k) is

The mean deviation from the median for the following data is

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The mean deviation from the median for the following data is

Three unbiased coins are tossed. Then, the probability of getting at most two heads is:

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Three unbiased coins are tossed. Then, the probability of getting at most two heads is:

A box has 6 black, 4 red, 2 white and 3 blue shirts. When 2 shirts are picked randomly, the probability that either both are white or both are blue is

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A box has 6 black, 4 red, 2 white and 3 blue shirts. When 2 shirts are picked randomly, the probability that either both are white or both are blue is

Two dice are thrown simultaneously. The probability of getting a multiple of 2 on one dice and multiple of 3 on the other dice is

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Two dice are thrown simultaneously. The probability of getting a multiple of 2 on one dice and multiple of 3 on the other dice is

Two persons A and B take part in a shooting competition. A can hit the target with a probability of 0.6. B can hit the target with a probability of 0.8. A has the first shoot, past which they strike alternatively. Then, the probability that A wins the competition is

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Two persons A and B take part in a shooting competition. A can hit the target with a probability of 0.6. B can hit the target with a probability of 0.8. A has the first shoot, past which they strike alternatively. Then, the probability that A wins the competition is

In a Binomial distribution, if p=q and n≥4, then 2nP(X=5)=

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In a Binomial distribution, if p=q and n≥4, then 2nP(X=5)=

A random variable X follows the binomial distribution and X∼B(n,0.3). If the mean of X is three times as large as the standard deviation of X. then n=

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A random variable X follows the binomial distribution and X∼B(n,0.3). If the mean of X is three times as large as the standard deviation of X. then n=

If a line AB of length r moves so that A and B always lie respectively on x-axis and y=6x, then the locus of midpoint of AB is

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If a line AB of length r moves so that A and B always lie respectively on x-axis and y=6x, then the locus of midpoint of AB is

All points inside the triangle with vertices at (1,3),(5,0) and (−1,2) must necessarily satisfy

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All points inside the triangle with vertices at (1,3),(5,0) and (−1,2) must necessarily satisfy

The line on which the lines ax+by=1 and bx+ay=1 (with a≠0≠b ) intersect for any real values of a and b is

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The line on which the lines ax+by=1 and bx+ay=1 (with a≠0≠b ) intersect for any real values of a and b is

For x and y satisfying |x|+|y|=|x−3|+|y−2|, which of the following is correct?

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For x and y satisfying |x|+|y|=|x−3|+|y−2|, which of the following is correct?

For a,b,h>0, if the slope of one of the lines represented by a2x2+2hxy+b2y2=0 is twice that of the other, then the value of ‌

h

ab

is

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For a,b,h>0, if the slope of one of the lines represented by a2x2+2hxy+b2y2=0 is twice that of the other, then the value of ‌

is

Suppose A and B are the points at which the line x+y−λ=0 meets the pair of straight lines x2+y2−2x−4y+2=0. If ∠AOB=90∘, then a value of λ is

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Suppose A and B are the points at which the line x+y−λ=0 meets the pair of straight lines x2+y2−2x−4y+2=0. If ∠AOB=90∘, then a value of λ is

If a circle of radius 3 passes through the point (7,3) and has its centre on the line x−y−1=0, then its equation among the following is

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If a circle of radius 3 passes through the point (7,3) and has its centre on the line x−y−1=0, then its equation among the following is

Number of circles intersecting x2+y2=4,x2+y2−2x−3=0 and x2+y2−2y−3=0 orthogonally is

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Number of circles intersecting x2+y2=4,x2+y2−2x−3=0 and x2+y2−2y−3=0 orthogonally is

If the segments of the straight lines x+y=6 and x+2y=4 are two diameters of a circle passing through (6,2), then the equation of that circle is

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If the segments of the straight lines x+y=6 and x+2y=4 are two diameters of a circle passing through (6,2), then the equation of that circle is

The circle x2+y2−4x−8y+16=0 rolls up along the tangent drawn to it at (2+√3,3) by 2 units. The equation of the circle in the new position is

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The circle x2+y2−4x−8y+16=0 rolls up along the tangent drawn to it at (2+√3,3) by 2 units. The equation of the circle in the new position is

Suppose the angle between the tangents drawn from (0,0) to the circle (x+λ)2+(y+1)2=λ2 is ‌

Suppose the angle between the tangents drawn from (0,0) to the circle (x+λ)2+(y+1)2=λ2 is ‌

If the focus of a parabola is (0,−3) and its directrix is y=3, then its equation is

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If the focus of a parabola is (0,−3) and its directrix is y=3, then its equation is

For α belonging to an interval of length β, suppose (α,−α) is an interior point of the ellipse 4x2+5y2=1. Then (6β−4)201+201=

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For α belonging to an interval of length β, suppose (α,−α) is an interior point of the ellipse 4x2+5y2=1. Then (6β−4)201+201=

From any point on the hyperbola ‌

=1, tangents are drawn to the hyperbola ‌

=2. The area of the figure formed by the chord of contact of that point and the asymptotes is

©

From any point on the hyperbola ‌

=1, tangents are drawn to the hyperbola ‌

=2. The area of the figure formed by the chord of contact of that point and the asymptotes is

Statement 1: The eccentricity of the hyperbola 9x2−16y2−72x+96y−144=0 is 5/4
Statement 2: The eccentricity of the hyperbola ‌

Statement 1: The eccentricity of the hyperbola 9x2−16y2−72x+96y−144=0 is 5/4
Statement 2: The eccentricity of the hyperbola ‌

If the coordinates of the vertices of a triangle ABC are A(7,6,4),B(5,4,6). C(3,2,0) and the bisector of ∠BAC meets the side BC at D, then the coordinates of D are

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If the coordinates of the vertices of a triangle ABC are A(7,6,4),B(5,4,6). C(3,2,0) and the bisector of ∠BAC meets the side BC at D, then the coordinates of D are

If the direction cosines of a line satisfy the relations l−m+n=0 and ∣m+mn−4nl=0, then the direction cosines of the line are

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If the direction cosines of a line satisfy the relations l−m+n=0 and ∣m+mn−4nl=0, then the direction cosines of the line are

Let π be the plane passing through the point (3,−3,1) and perpendicular to the line joining the points (3,4,−1) and (2,−1,5). If the equation of the plane containing the points (3,4,−1),(−1,2,5) and perpendicular to the plane π is ax+y+cz−d=0 then 3(a+c)=

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Let π be the plane passing through the point (3,−3,1) and perpendicular to the line joining the points (3,4,−1) and (2,−1,5). If the equation of the plane containing the points (3,4,−1),(−1,2,5) and perpendicular to the plane π is ax+y+cz−d=0 then 3(a+c)=

If [.] denotes greatest integer function, then

=

If [.] denotes greatest integer function, then

=

=

=

y(x1∕y−1), and 2022f(‌

1

x

)+Pf(x)=f(x2), then P=

y(x1∕y−1), and 2022f(‌

1

x

)+Pf(x)=f(x2), then P=

=

=

If f(x)=|x2−3x+2|, then ‌

df

dx

=

©

If f(x)=|x2−3x+2|, then ‌

=

The angle made by the tangent at θ=π∕3 on the curve x=a(θ+sin‌θ),y=a(1−cos‌θ) with x - axis is

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The angle made by the tangent at θ=π∕3 on the curve x=a(θ+sin‌θ),y=a(1−cos‌θ) with x - axis is

If the angle between the curves y2=4x and y=e−x∕2 is θ, then cosec2(θ∕2)=

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If the angle between the curves y2=4x and y=e−x∕2 is θ, then cosec2(θ∕2)=

The least intercept made by a tangent to the ellipse ‌

=1 with coordinate axes is

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The least intercept made by a tangent to the ellipse ‌

=1 with coordinate axes is

If f(x)=√3‌sin‌x−cos‌x−2ax+b decreases for all values of x, then

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If f(x)=√3‌sin‌x−cos‌x−2ax+b decreases for all values of x, then

(√x+√12x−36+√x−√12x−36)dx=

©

(√x+√12x−36+√x−√12x−36)dx=

dx=

dx=

=loge(f(x)), then f(x)=

=loge(f(x)), then f(x)=

Suppose that f(x,y) and g(x,y) are homogeneous functions of same order. If x=Vy reduces the equation ‌

Suppose that f(x,y) and g(x,y) are homogeneous functions of same order. If x=Vy reduces the equation ‌

The general solution of xdy−ydx=ydy is

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The general solution of xdy−ydx=ydy is

The two principal thrusts in physics are

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The two principal thrusts in physics are

A ball is dropped from a tower of height 80m. The time it takes to cover the last 50% of its fall is
(acceleration due to gravity =10ms−2 )

©

A ball is dropped from a tower of height 80m. The time it takes to cover the last 50% of its fall is
(acceleration due to gravity =10ms−2 )

A ball is dropped from a tower of height 80m. The time it takes to cover the last 50% of its fall is (acceleration due to gravity =10ms−2 )

©

A ball is dropped from a tower of height 80m. The time it takes to cover the last 50% of its fall is (acceleration due to gravity =10ms−2 )

In the projectile motion of an object, the object reaches its maximum height where its speed is half of initial speed. Then the ratio between range and maximum height of projectile is

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In the projectile motion of an object, the object reaches its maximum height where its speed is half of initial speed. Then the ratio between range and maximum height of projectile is

A block is lying at rest inside a bus. The maximum acceleration of the bus such that the block remain stationary

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A block is lying at rest inside a bus. The maximum acceleration of the bus such that the block remain stationary

Three forces of magnitude F1,F2 and F3 act on a body located at the origin as shown in the figure. The condition that gives zero net force is

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Three forces of magnitude F1,F2 and F3 act on a body located at the origin as shown in the figure. The condition that gives zero net force is

A system consists of two springs connected is series and each having the spring constant 10Nm−1, The minimum work required to stretch this system by 1cm in erg is

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A system consists of two springs connected is series and each having the spring constant 10Nm−1, The minimum work required to stretch this system by 1cm in erg is

A cannon ball is fired from the top of a 55m high cliff with an initial speed of 50ms−1. The speed of the cannon ball while hitting the ground in ms−1 (acceleration due to gravity =10ms−2 )

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A cannon ball is fired from the top of a 55m high cliff with an initial speed of 50ms−1. The speed of the cannon ball while hitting the ground in ms−1 (acceleration due to gravity =10ms−2 )

A cricket ball hits the ground with a speed of 5ms−1 making an angle 30∘ with the horizontal. If the coefficient of restitution is 0.2, the speed of the reflected ball in ms−1 is

Q.90 Correct

Q.90 In-correct

Q.90 Unattempt

A circular portion of radius R2 has been removed from one edge of a circular disc of radius R1. The correct expression for the centre of mass for the remaining portion of the disc is

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A circular portion of radius R2 has been removed from one edge of a circular disc of radius R1. The correct expression for the centre of mass for the remaining portion of the disc is

Position of a 2kg mass moving along the x-axis is given by x=2‌cos[(2s−1)t]‌m. Then maximum kinetic energy of the mass in joule is

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Position of a 2kg mass moving along the x-axis is given by x=2‌cos[(2s−1)t]‌m. Then maximum kinetic energy of the mass in joule is

An object mass 2kg is attached to a spring with spring constant 8Nm−1. If the object is executing simple harmonic motion then the number of cycles it completes in 66s is

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An object mass 2kg is attached to a spring with spring constant 8Nm−1. If the object is executing simple harmonic motion then the number of cycles it completes in 66s is

The escape velocity of an object from a planet is 16kms−1. If the escape velocity of the object from another planet having twice the density and three times the radius of the planet is V√2ms−1, then the value of V is

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The escape velocity of an object from a planet is 16kms−1. If the escape velocity of the object from another planet having twice the density and three times the radius of the planet is V√2ms−1, then the value of V is

In the case of a wire, having negligible mass suspended from ceiling and stretched under the action of a weight F suspended from its other end, the tension at any crosssection of the wire is

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In the case of a wire, having negligible mass suspended from ceiling and stretched under the action of a weight F suspended from its other end, the tension at any crosssection of the wire is

A hydraulic lift is shown in the figure. The radii of the movable pistons P1 and P2 are of 2m&8m respectively. If a body of mass 2kg is placed on piston P1 then the force on piston P2 is (Ignore atmospheric pressure, acceleration due to gravity =10ms−2 )

©

A hydraulic lift is shown in the figure. The radii of the movable pistons P1 and P2 are of 2m&8m respectively. If a body of mass 2kg is placed on piston P1 then the force on piston P2 is (Ignore atmospheric pressure, acceleration due to gravity =10ms−2 )

Consider a circular ring of radius 1.4cm lying on the surface of a liquid. If a vertical force of 0.022N greater than the weight of the ring is required to lift this ring from the liquid surface, then the surface tension of the liquid is

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Consider a circular ring of radius 1.4cm lying on the surface of a liquid. If a vertical force of 0.022N greater than the weight of the ring is required to lift this ring from the liquid surface, then the surface tension of the liquid is

A small electric heater is used to heat 200g of water. The time required to bring all this water from 40∘C to 100∘C is 200s. If specific heat of the water is 4200Jkg−1K−1 then the power supplied by the heater is

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A small electric heater is used to heat 200g of water. The time required to bring all this water from 40∘C to 100∘C is 200s. If specific heat of the water is 4200Jkg−1K−1 then the power supplied by the heater is

An ideal gas has specific heat capacity at constant pressure ‌

11

10

R. If one mole of this ideal gas at 125∘C does 83J of work adiabatically, then the final temperature of the gas would be (Universal gas constant, R=8.3JK−1mol−1 )

©

An ideal gas has specific heat capacity at constant pressure ‌

11

10

R. If one mole of this ideal gas at 125∘C does 83J of work adiabatically, then the final temperature of the gas would be (Universal gas constant, R=8.3JK−1mol−1 )

As ideal monatomic gas of 1.5 moles is heated at a constant pressure 2atm so that its temperature increases from 30∘C to 130‌∘C. Work done by the gas is (Universal gas constant =8.3Jmol−1K−1 )

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As ideal monatomic gas of 1.5 moles is heated at a constant pressure 2atm so that its temperature increases from 30∘C to 130‌∘C. Work done by the gas is (Universal gas constant =8.3Jmol−1K−1 )

The temperature at which the r.m.s velocity of a gas triples to its r.m.s. velocity at 0 ‌∘C is

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The temperature at which the r.m.s velocity of a gas triples to its r.m.s. velocity at 0 ‌∘C is

Two wires A and B of lengths in the ratio 1:2 and masses in the ratio 2:1 are stretched by same tension. The ratio of the fundamental frequencies of wires A and B is

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Two wires A and B of lengths in the ratio 1:2 and masses in the ratio 2:1 are stretched by same tension. The ratio of the fundamental frequencies of wires A and B is

A convergent lens is placed 40cm to the right of a diverging lens of focal length 15cm. A parallel beam of light enters the divergent lens from the left, and the beam is again parallel when it emerges from the convergent lens. The focal length of the convergent lens is

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A convergent lens is placed 40cm to the right of a diverging lens of focal length 15cm. A parallel beam of light enters the divergent lens from the left, and the beam is again parallel when it emerges from the convergent lens. The focal length of the convergent lens is

In a Young's double slit experiment, the slits are separated by 0.28mm and the screen is placed 1.4m away from the slits. The distance between the central bright fringe and the 4‌th ‌ order bright fringe is measured to be 1.2cm. The wavelength of light used in this experiment is

©

In a Young's double slit experiment, the slits are separated by 0.28mm and the screen is placed 1.4m away from the slits. The distance between the central bright fringe and the 4‌th ‌ order bright fringe is measured to be 1.2cm. The wavelength of light used in this experiment is

Two concentric spherical surfaces P1 and P2 enclose charges ‌

Q

2

and 4Q as shown in the figure. If φ1 and φ2 are the electric fluxes linked with the surfaces P1 and P2 respectively then

©

Two concentric spherical surfaces P1 and P2 enclose charges ‌

Q

2

and 4Q as shown in the figure. If φ1 and φ2 are the electric fluxes linked with the surfaces P1 and P2 respectively then

A parallel plate capacitor of capacitance 500pF is charged with 100V supply. It is then disconnected from the supply and connected to another uncharged 500pF capacitor. The electrostatic energy lost in this process is

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A parallel plate capacitor of capacitance 500pF is charged with 100V supply. It is then disconnected from the supply and connected to another uncharged 500pF capacitor. The electrostatic energy lost in this process is

The effective capacitance between points X and Y in the figure shown below is. (Assume all the capacitors are 4µF each.)

Q.107 Correct

Q.107 In-correct

Q.107 Unattempt

A battery of emf 12V and internal resistance 4Ω is connected to a resistor. The resistance of the resistor if the current in the circuit is 0.8A is

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A battery of emf 12V and internal resistance 4Ω is connected to a resistor. The resistance of the resistor if the current in the circuit is 0.8A is

A heating element is designed to dissipate 2400W when connected to 240V. The power it dissipates when it is connected to 120V is (Assume that resistance of the filament is constant)

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A heating element is designed to dissipate 2400W when connected to 240V. The power it dissipates when it is connected to 120V is (Assume that resistance of the filament is constant)

The magnitude of magnetic field at O due to a current carrying loop as shown in the figure is, where O is the centre of two circular portions with radii 1cm and 2cm respectively. (Take the value of current I=‌

1.2

π

A. )

The magnitude of magnetic field at O due to a current carrying loop as shown in the figure is, where O is the centre of two circular portions with radii 1cm and 2cm respectively. (Take the value of current I=‌

A long wire lies along x-axis and carries a current of 40A in positive x - direction. A second long wire is perpendicular to the xy plane, passes through point (3.0m)

∧

j

and carries a current along positive z - direction. If the magnitude of resultant magnetic field at the point (2.0m)

∧

j

is 5×10−6T, then the current in the second wire is (Permeability of free space, µ0=4π×10−7 SI unit)

©

A long wire lies along x-axis and carries a current of 40A in positive x - direction. A second long wire is perpendicular to the xy plane, passes through point (3.0m)

∧

j

and carries a current along positive z - direction. If the magnitude of resultant magnetic field at the point (2.0m)

∧

j

is 5×10−6T, then the current in the second wire is (Permeability of free space, µ0=4π×10−7 SI unit)

If a bar magnet is cut along the dotted line as shown in the figure and the two pieces are held separated by a small distance as they are, then

Q.112 Correct

Q.112 In-correct

Q.112 Unattempt

A pair of adjacent coils having a mutual inductance, M. The current in one coil changes from 0 to 16A in 0.3s and the change of flux linkage with the other coil is 40Wb. The value of M is

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A pair of adjacent coils having a mutual inductance, M. The current in one coil changes from 0 to 16A in 0.3s and the change of flux linkage with the other coil is 40Wb. The value of M is

An inductor of reactance 1Ω and a resistor of resistance 3Ω are connected in series to the terminals of 10V (rms) ac source. The power dissipated in the circuit is

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An inductor of reactance 1Ω and a resistor of resistance 3Ω are connected in series to the terminals of 10V (rms) ac source. The power dissipated in the circuit is

Light falls on a non-reflecting surface normally. If the average force exerted on a surface with area 15cm2 during 20 minute time interval is 10−6N, then energy flux of light is (Velocity of light =3×108ms−1 )

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Light falls on a non-reflecting surface normally. If the average force exerted on a surface with area 15cm2 during 20 minute time interval is 10−6N, then energy flux of light is (Velocity of light =3×108ms−1 )

The correct ascending order of the wavelengths of the following electromagnetic waves is
Ultraviolet, x-rays, infrared, gamma rays and visible light.

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The correct ascending order of the wavelengths of the following electromagnetic waves is
Ultraviolet, x-rays, infrared, gamma rays and visible light.

A metal has work function 2.5eV. If a radiation of frequency 3.2×1015Hz is incident on this metal surface, then the maximum kinetic energy of ejected photo electrons is (Plank's constant, h=6.6×10−34J−s )

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A metal has work function 2.5eV. If a radiation of frequency 3.2×1015Hz is incident on this metal surface, then the maximum kinetic energy of ejected photo electrons is (Plank's constant, h=6.6×10−34J−s )

The following parameter is same for all hydrogen like atoms and ions in their ground state.

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The following parameter is same for all hydrogen like atoms and ions in their ground state.

A radioactive element A converts into another stable element B. Half life of A is 1.5 hrs. After time t the ratio of atoms of A and B is found to be 1:8, then t in hours is

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A radioactive element A converts into another stable element B. Half life of A is 1.5 hrs. After time t the ratio of atoms of A and B is found to be 1:8, then t in hours is

The class of materials having the largest band gap in the following is

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The class of materials having the largest band gap in the following is

A carrier wave of peak voltage 60V is used to transmit a message signal. Then the peak voltage of the modulating signal in order to have a modulation index of 90% is

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A carrier wave of peak voltage 60V is used to transmit a message signal. Then the peak voltage of the modulating signal in order to have a modulation index of 90% is

While passing through the applied magnetic field, which of the following undergoes the maximum deflection?

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While passing through the applied magnetic field, which of the following undergoes the maximum deflection?

An element has d5 configuration. The total number of electron exchanges possible for it is

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An element has d5 configuration. The total number of electron exchanges possible for it is

The correct electronic configuration of the element Au is

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The correct electronic configuration of the element Au is

The correct order of atomic radii of the elements O,N,S and P is

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The correct order of atomic radii of the elements O,N,S and P is

The bond order of dioxygen is ' m '. The bond order values of N2+and C22− are respectively

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The bond order of dioxygen is ' m '. The bond order values of N2+and C22− are respectively

Identify the correct statements from the following
(I) SnCl2 is ionic, but SnCl4 is covalent in nature
(II) All linear diatomic molecules have zero dipole moment
(III) Both NO and O2 are paramagnetic

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Identify the correct statements from the following
(I) SnCl2 is ionic, but SnCl4 is covalent in nature
(II) All linear diatomic molecules have zero dipole moment
(III) Both NO and O2 are paramagnetic

300mL of a gas ' x ' of molar mass 32gmol−1 is effused in 25 seconds. What volume of methane would effuse in the same time?

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300mL of a gas ' x ' of molar mass 32gmol−1 is effused in 25 seconds. What volume of methane would effuse in the same time?

A car airbag is inflated by N2 produced during rapid decomposition of NaN3(s). What will be the pressure of the inflated airbag if 130g of NaN3 is used. The volume of airbag is 10L(T=300K,R=0.082L‌atm‌K−1‌mol−1)

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A car airbag is inflated by N2 produced during rapid decomposition of NaN3(s). What will be the pressure of the inflated airbag if 130g of NaN3 is used. The volume of airbag is 10L(T=300K,R=0.082L‌atm‌K−1‌mol−1)

Assertion (A): Molality of solution increases with temperature.
Reason (R): Molality expression does not involve any volume term.

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Assertion (A): Molality of solution increases with temperature.
Reason (R): Molality expression does not involve any volume term.

The density of methane is maximum under which conditions?

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The density of methane is maximum under which conditions?

The atomization enthalpy of CH4 is 1660kJmol−1. The C-H bond enthalpy of each successive step in CH4→CH3→CH2→CH are +15,+30 and +45kJmol−1 higher than the mean bond enthalpy of CH bonds, respectively. The bond enthalpy of the last C−H unit is

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The atomization enthalpy of CH4 is 1660kJmol−1. The C-H bond enthalpy of each successive step in CH4→CH3→CH2→CH are +15,+30 and +45kJmol−1 higher than the mean bond enthalpy of CH bonds, respectively. The bond enthalpy of the last C−H unit is

A 1.0L of aqueous solution contains 1×10−8MNaBr,1×10−8MNaCl and 1×10−8 MNaI. To this solution. 1×10−10M aqueous AgNO3 solution is added drop wise. The order of precipitation of AgX(X=Cl,Br. I) is

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A 1.0L of aqueous solution contains 1×10−8MNaBr,1×10−8MNaCl and 1×10−8 MNaI. To this solution. 1×10−10M aqueous AgNO3 solution is added drop wise. The order of precipitation of AgX(X=Cl,Br. I) is

The conjugate base of NH3 is

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The conjugate base of NH3 is

The general formula of zeolite is Na2Z. In this ' Z ' represents

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The general formula of zeolite is Na2Z. In this ' Z ' represents

Which of the following salts form hydrates?

Which of the following salts form hydrates?

For which of the following +3 oxidation state is highly oxidizing in character?

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For which of the following +3 oxidation state is highly oxidizing in character?

Silicon (IV) chloride on hydrolysis gives an acid X. The number -OH groups present in X is

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Silicon (IV) chloride on hydrolysis gives an acid X. The number -OH groups present in X is

The IUPAC name of the following compound is

Q.140 Correct

Q.140 In-correct

Q.140 Unattempt

One mol of 2-Methylbuta-1, 3-diene on ozonolysis gives

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One mol of 2-Methylbuta-1, 3-diene on ozonolysis gives

A and B atoms in a crystal are positioned at the corners and face centers respectively. What is the formula of the crystal?

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A and B atoms in a crystal are positioned at the corners and face centers respectively. What is the formula of the crystal?

In a crystal lattice, anions A forms hcp array. 2∕3 of the tetrahedral voids are occupied by cations C. What is the formula of crystal?

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In a crystal lattice, anions A forms hcp array. 2∕3 of the tetrahedral voids are occupied by cations C. What is the formula of crystal?

At T(K) the molarity of CO2 (in molL−1 ) in 200mL of soda water packed under a pressure of 3.4 bar is (KH of CO2 in water is 1.7X103 bar at T(K))

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At T(K) the molarity of CO2 (in molL−1 ) in 200mL of soda water packed under a pressure of 3.4 bar is (KH of CO2 in water is 1.7X103 bar at T(K))

The depression in freezing point of solution of molality 0.01molkg−1 is highest with respect to which of the solvent? (Whose Kf is given is brackets)

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The depression in freezing point of solution of molality 0.01molkg−1 is highest with respect to which of the solvent? (Whose Kf is given is brackets)

What is the total charge of one mole of electrons?

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What is the total charge of one mole of electrons?

P→Q is a zero order reaction. If the concentration of P decreases from 0.1 M to 0.05M in 10 seconds, the concentration of P after 15 seconds time is

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P→Q is a zero order reaction. If the concentration of P decreases from 0.1 M to 0.05M in 10 seconds, the concentration of P after 15 seconds time is

Assertion (A) :- Adsorption is an exothermic process
Reason (R): - Physisorption of a gas on a solid surface is normally reversible

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Assertion (A) :- Adsorption is an exothermic process
Reason (R): - Physisorption of a gas on a solid surface is normally reversible

When a dilute AgNO3 solution is mixed with excess of dilute KI, the colloidal solution formed is

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When a dilute AgNO3 solution is mixed with excess of dilute KI, the colloidal solution formed is

The element that can form multiple bonds with itself from the following is

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The element that can form multiple bonds with itself from the following is

Which one among the following has the "S-O-S" bonding?

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Which one among the following has the "S-O-S" bonding?

High second ionization enthalpies than expected are observed for

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High second ionization enthalpies than expected are observed for

The IUPAC name of the following complex is [Cr(NH3)3(H2O)2Cl]Cl2

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The IUPAC name of the following complex is [Cr(NH3)3(H2O)2Cl]Cl2

Which of the following amino acid is optically inactive?

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Which of the following amino acid is optically inactive?

Hydrolysis of which of the following nucleic acids does not give equal number of A and T or G and C
a) m−RNA
b) single strand DNA c) r−RNA
d) double helix DNA

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Hydrolysis of which of the following nucleic acids does not give equal number of A and T or G and C
a) m−RNA
b) single strand DNA c) r−RNA
d) double helix DNA

Chloroform is the presence of light slowly oxidized by air to form

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Chloroform is the presence of light slowly oxidized by air to form

Identify the major product

Q.157 Correct

Q.157 In-correct

Q.157 Unattempt

Which of the following represents correct structure of Resorcinol

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Which of the following represents correct structure of Resorcinol

Identify the correct reagent for Etard reaction.

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Identify the correct reagent for Etard reaction.

An organic compound (A) on ozonolysis followed by treatment with Zinc dust and water give product P. which can be used to preserve biological specimens. Identify A

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An organic compound (A) on ozonolysis followed by treatment with Zinc dust and water give product P. which can be used to preserve biological specimens. Identify A

Identify X and Y of the following reaction sequence

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