AP EAPCET - 04 July 2022

a1	a2	a3
b1	b2	b3
c1	c2	c3

] then det(AAT)=

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For i=1,2,3 and j=1,2,3 If ai2+bi2+ci2=1,aiaj+bibj+cicj=0,‌‌∀i≠j and A=[

a1	a2	a3
b1	b2	b3
c1	c2	c3

3	−2	6
−6	−3	2
−2	6	3

3	−2	6
−6	−3	2
−2	6	3

α2	5
5	−α

] and det(A10)=1024, then α=

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If A=[

α2	5
5	−α

] and det(A10)=1024, then α=

5	sin2θ	cos2θ
−sin2θ	−5	1
cos2θ	1	5

] Then maximum value of det(A) is

©

Let A=[

5	sin2θ	cos2θ
−sin2θ	−5	1
cos2θ	1	5

] Then maximum value of det(A) is

=i i then the true statement among the following is

=i i then the true statement among the following is

If the identity cos4θ=a‌cos‌4‌θ+b‌cos‌2‌θ+c holds for some a,b,c∈ℚ, then (a,b,c)=

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If the identity cos4θ=a‌cos‌4‌θ+b‌cos‌2‌θ+c holds for some a,b,c∈ℚ, then (a,b,c)=

The number of integer solutions of the equation |1−i|x=2x is

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The number of integer solutions of the equation |1−i|x=2x is

If f(x)=ax2+bx+c for some a,b,c∈C with a+b+c=3 and f(x+y)=f(x)+f(y)+xy‌∀x,y∈C. The

If f(x)=ax2+bx+c for some a,b,c∈C with a+b+c=3 and f(x+y)=f(x)+f(y)+xy‌∀x,y∈C. The

The number of positive real roots of the equation 3x+1+3−x+1=10 is

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The number of positive real roots of the equation 3x+1+3−x+1=10 is

The number of real roots of the equation √‌

is

The number of real roots of the equation √‌

is

If 4x−3x−1/2=3x+1/2−22x−1 then the value of x is

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If 4x−3x−1/2=3x+1/2−22x−1 then the value of x is

The total number of permutations of n different things taken not more than r at a time, when each thing may be repeated any number of times is

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The total number of permutations of n different things taken not more than r at a time, when each thing may be repeated any number of times is

How many chords can be drawn through 21 points on a circle?

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How many chords can be drawn through 21 points on a circle?

If a polygon of n sides has 560 diagonals then n=

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If a polygon of n sides has 560 diagonals then n=

A person writes letters to 6 friends and addresses the corresponding envelopes. In how many ways can the letters be placed in the envelopes so that at least two of them are in the wrong envelopes?
Notation Dn=n!(

)

A person writes letters to 6 friends and addresses the corresponding envelopes. In how many ways can the letters be placed in the envelopes so that at least two of them are in the wrong envelopes?
Notation Dn=n!(

)

then the value of A+B+C+D+E+F=

then the value of A+B+C+D+E+F=

is

is

If (1+tan‌10)(1+tan‌20)...(1+tan‌45∘)=2n, then n=

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If (1+tan‌10)(1+tan‌20)...(1+tan‌45∘)=2n, then n=

=

=

In a triangle ABC, if a≠b,‌

In a triangle ABC, if a≠b,‌

is

is

If in a triangle ABC,a=2,b=3 and c=4, then tan(

A

2

)=

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If in a triangle ABC,a=2,b=3 and c=4, then tan(

)=

If the angles of a triangle ABC are in the ratio 1:2:3, then the corresponding sides are in the ratio

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If the angles of a triangle ABC are in the ratio 1:2:3, then the corresponding sides are in the ratio

In a triangle ABC,‌‌r1‌cot‌

=

In a triangle ABC,‌‌r1‌cot‌

=

The point of intersection of the lines r=2b+t(6c−a) and r=a+s(b−3c) is

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The point of intersection of the lines r=2b+t(6c−a) and r=a+s(b−3c) is

In quadrilateral ABCD,AB=a,BC=b,DA=a−b,M is the midpoint of BC and X is a point on DM such that DX=‌

4

5

DM. Then the points A,X and C

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In quadrilateral ABCD,AB=a,BC=b,DA=a−b,M is the midpoint of BC and X is a point on DM such that DX=‌

4

5

DM. Then the points A,X and C

The vectors 3a−5b and 2a+b are mutually perpendicular and the vectors a+4b and −a+b are also mutually perpendicular then the acute angle between a and b is

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The vectors 3a−5b and 2a+b are mutually perpendicular and the vectors a+4b and −a+b are also mutually perpendicular then the acute angle between a and b is

Let a=xi+yj+zk and x=2y. If |a|=5√2 and a makes and angle of 135∘ with the z-axis then a=

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Let a=xi+yj+zk and x=2y. If |a|=5√2 and a makes and angle of 135∘ with the z-axis then a=

Let a,b,c be the position vectors of the vertices of a triangle ABC. Through the vertices, lines are drawn parallel to the sides to form the triangle A′B′C′. Then the centroid of △A′B′C′ is

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Let a,b,c be the position vectors of the vertices of a triangle ABC. Through the vertices, lines are drawn parallel to the sides to form the triangle A′B′C′. Then the centroid of △A′B′C′ is

The mean deviation about the mean for the following data: 5,6,7,8,6,9,13,12,15 is

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The mean deviation about the mean for the following data: 5,6,7,8,6,9,13,12,15 is

A box contains 100 balls, numbered from 1 to 100 . If 3 balls are selected one after the other at random with replacement from the box, then the probability that the sum of the three numbers on the balls selected from the box is an odd number, is

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A box contains 100 balls, numbered from 1 to 100 . If 3 balls are selected one after the other at random with replacement from the box, then the probability that the sum of the three numbers on the balls selected from the box is an odd number, is

In a lottery, containing 35 tickets, exactly 10 tickets bear a prize. If a ticket is drawn at random, then the probability of not getting a prize is.

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In a lottery, containing 35 tickets, exactly 10 tickets bear a prize. If a ticket is drawn at random, then the probability of not getting a prize is.

A bag contains 7 green and 5 black balls. 3 balls are drawn at random one after the other. If the balls are not replaced, then the probability of all three balls being green is

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A bag contains 7 green and 5 black balls. 3 balls are drawn at random one after the other. If the balls are not replaced, then the probability of all three balls being green is

If x is chosen at random from the set {1,2,3,4} and y is chosen at random from the set {5,6,7}, then the probability that xy will be even is

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If x is chosen at random from the set {1,2,3,4} and y is chosen at random from the set {5,6,7}, then the probability that xy will be even is

The discrete random variables X and Y are independent from one another and are defined as X∼B(16,0.25) and Y∼P(2). Then the sum of the variances of X and Y is

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The discrete random variables X and Y are independent from one another and are defined as X∼B(16,0.25) and Y∼P(2). Then the sum of the variances of X and Y is

If 6 is the mean of a Poisson distribution, then P(X≥3)=

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If 6 is the mean of a Poisson distribution, then P(X≥3)=

A stick of length r units slides with its ends on coordinate axes. Then the locus of the midpoint of the stick is a curve whose length is

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A stick of length r units slides with its ends on coordinate axes. Then the locus of the midpoint of the stick is a curve whose length is

The least distance from origin to a point on the line y=x+3 which lies at a distance of 2 units from (0,3) is

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The least distance from origin to a point on the line y=x+3 which lies at a distance of 2 units from (0,3) is

Starting from the point A(−3,4), a moving object touches 2x+y−7=0 at B and reaches the point C(0,1). If the object travels along the shortest path, the distance between A and B is

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Starting from the point A(−3,4), a moving object touches 2x+y−7=0 at B and reaches the point C(0,1). If the object travels along the shortest path, the distance between A and B is

Suppose a triangle is formed by x+y=10 and the coordinate axes. Then the number of points (x,y) where x and y are natural numbers, lying inside the triangle is

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Suppose a triangle is formed by x+y=10 and the coordinate axes. Then the number of points (x,y) where x and y are natural numbers, lying inside the triangle is

If the lines represented byax2+2hxy+by2+2gx+2fy+c=0 intersect on the x-axis, which of the following is in general incorrect

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If the lines represented byax2+2hxy+by2+2gx+2fy+c=0 intersect on the x-axis, which of the following is in general incorrect

], the angle between the lines represented by

[x‌cos‌θ−y][(cos‌θ+tan‌α)x−(1−cos‌θ⋅tan‌α)y]=0

is

], the angle between the lines represented by

[x‌cos‌θ−y][(cos‌θ+tan‌α)x−(1−cos‌θ⋅tan‌α)y]=0

is

The Locus of centers of the circles, possessing the same area and having 3x−4y+4=0 and 6x−8y−7=0 as their common tangent, is

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The Locus of centers of the circles, possessing the same area and having 3x−4y+4=0 and 6x−8y−7=0 as their common tangent, is

For any two nonzero real numbers a and b if this line ‌

=1 is a tangent to the circle x2+y2=1, then which of the following is true?

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For any two nonzero real numbers a and b if this line ‌

=1 is a tangent to the circle x2+y2=1, then which of the following is true?

The length of the intercept on the line 4x−3y−10=0 by the circle x2+y2−2x+4y−26=0 is

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The length of the intercept on the line 4x−3y−10=0 by the circle x2+y2−2x+4y−26=0 is

The pole of the line ‌

=1 with respect of the circle x2+y2=c2 is

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The pole of the line ‌

=1 with respect of the circle x2+y2=c2 is

If the tangent at the point P on the circle x2+y2+6x+6y=2 meets the straight line 5x−2y+6=0 at a point Q on the y-axis, then the length of PQ is

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If the tangent at the point P on the circle x2+y2+6x+6y=2 meets the straight line 5x−2y+6=0 at a point Q on the y-axis, then the length of PQ is

Suppose a parabola with focus at (0,0) has x−y+1=0 as its tangent at the vertex. Then the equation of its directive is

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Suppose a parabola with focus at (0,0) has x−y+1=0 as its tangent at the vertex. Then the equation of its directive is

The eccentric angle of a point on the ellipse x2+3y2=6 lying at a distance of 2 units from its centre is

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The eccentric angle of a point on the ellipse x2+3y2=6 lying at a distance of 2 units from its centre is

Let origin be the centre, (±3,0) be the foci and ‌

3

2

be the eccentricity of a hyperbola. Then the line 2x−y−1=0

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Let origin be the centre, (±3,0) be the foci and ‌

3

2

be the eccentricity of a hyperbola. Then the line 2x−y−1=0

The locus of a variable point whose chord of contact w.r.t. the hyperbola ‌

=1 subtends a right angle at the origin is

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The locus of a variable point whose chord of contact w.r.t. the hyperbola ‌

=1 subtends a right angle at the origin is

If the point (a,8,−2) divides the line segment joining the points (1,4,6) and (5,2,10) in the ratio m:n then ‌

=

If the point (a,8,−2) divides the line segment joining the points (1,4,6) and (5,2,10) in the ratio m:n then ‌

=

If (a,b,c) are the direction ratios of a line joining the points (4,3,−5) and (−2,1,−8) then the point P(a,3b,2c) lies on the plane

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If (a,b,c) are the direction ratios of a line joining the points (4,3,−5) and (−2,1,−8) then the point P(a,3b,2c) lies on the plane

The x-intercept of a plane π passing through the point (1,1.1) is ‌

5

2

and the perpendicular distance from the origin to the plane π is ‌

5

7

. If the y-intercept of the plane π is negative and the z-intercept is positive then its y-intercept is

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The x-intercept of a plane π passing through the point (1,1.1) is ‌

5

2

and the perpendicular distance from the origin to the plane π is ‌

5

7

. If the y-intercept of the plane π is negative and the z-intercept is positive then its y-intercept is

Let f:R+→R+be a function satisfying f(x)−x=λ (constant),∀x∈R+and f(xf(y))=f(xy)+x,∀x,y,∈R+.
Then

=

Let f:R+→R+be a function satisfying f(x)−x=λ (constant),∀x∈R+and f(xf(y))=f(xy)+x,∀x,y,∈R+.
Then

=

xnlogex=0, then logx12=

xnlogex=0, then logx12=

If f(x)=Max{3−x,3+x,6} is not differentiable at x=a, and x=b, then |a|+|b|=

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If f(x)=Max{3−x,3+x,6} is not differentiable at x=a, and x=b, then |a|+|b|=

If x3−2x2y2+5x+y−5=0, then at (1,1) y′′(1)=

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If x3−2x2y2+5x+y−5=0, then at (1,1) y′′(1)=

If the curves y=x3−3x2−8x−4 and y=3x2+7x+4 touch each other at a point P then the equation of common tangent at P is

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If the curves y=x3−3x2−8x−4 and y=3x2+7x+4 touch each other at a point P then the equation of common tangent at P is

If ax+by=1 is a normal to the parabola y2=4px then the condition is

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If ax+by=1 is a normal to the parabola y2=4px then the condition is

The maximum value of f(x)=‌

x

1+4x+x2

is

©

The maximum value of f(x)=‌

is

The minimum value of f(x)=x+‌

4

x+2

is

©

The minimum value of f(x)=x+‌

is

The condition that f(x)=ax3+bx2+cx+d has no extreme value is

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The condition that f(x)=ax3+bx2+cx+d has no extreme value is

Assertion (A): if In=∫cotnxdx, then I6+I4=‌

−cot5x

5

Reason (R): ∫cotnxdx=‌

Assertion (A): if In=∫cotnxdx, then I6+I4=‌

−cot5x

5

Reason (R): ∫cotnxdx=‌

I0+I1+2I2+2I3+2I4+I5+I6=

I0+I1+2I2+2I3+2I4+I5+I6=

(2‌log‌c‌o‌s‌e‌c‌x+sin‌2‌x))‌d‌x=

(2‌log‌c‌o‌s‌e‌c‌x+sin‌2‌x))‌d‌x=

The parametric form of a curve is x=‌

=

The parametric form of a curve is x=‌

=

Let α and β(α<β) are roots of 18x2−9πx+π2=0,f(x)=x2,g(x)=cos‌x. Then

Let α and β(α<β) are roots of 18x2−9πx+π2=0,f(x)=x2,g(x)=cos‌x. Then

x(sin2(sin‌x)+cos2(cos‌x))dx=

x(sin2(sin‌x)+cos2(cos‌x))dx=

−yloge0.5=0,y(0)=1, and y(x)→k, as x→∞ then k=

−yloge0.5=0,y(0)=1, and y(x)→k, as x→∞ then k=

At any point (x,y) on a curve if the length of the subnormal is (x−1) and the curve passes through (1,2) then the curve is a conic. A vertex of the curve is

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At any point (x,y) on a curve if the length of the subnormal is (x−1) and the curve passes through (1,2) then the curve is a conic. A vertex of the curve is

y=Aex+Be−2x satisfies which of the following differential equations?

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y=Aex+Be−2x satisfies which of the following differential equations?

If NA,NB and NC are the number of significant figures in A=0.001204m, B=43120000m and c=1.200m respectively then

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If NA,NB and NC are the number of significant figures in A=0.001204m, B=43120000m and c=1.200m respectively then

A car covers a distance at speed of 60kmh−1. It returns and comes back to the original point moving at a speed of V. If the average speed for the round trip is 48kmh−1, then the magnitude of V is

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A car covers a distance at speed of 60kmh−1. It returns and comes back to the original point moving at a speed of V. If the average speed for the round trip is 48kmh−1, then the magnitude of V is

A car travels with a speed of 40kmh−1. Rain drops are falling at a constant speed vertically. The traces of the rain on the side windows of the car make an angle of 30∘ with the vertical. The magnitude of the velocity of the rain with respect to the car is

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A car travels with a speed of 40kmh−1. Rain drops are falling at a constant speed vertically. The traces of the rain on the side windows of the car make an angle of 30∘ with the vertical. The magnitude of the velocity of the rain with respect to the car is

A projectile with speed 50ms−1 is thrown at an angle of 60∘ with the horizontal. The maximum height that can be reached is (acceleration due to gravity =10ms−2 )

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A projectile with speed 50ms−1 is thrown at an angle of 60∘ with the horizontal. The maximum height that can be reached is (acceleration due to gravity =10ms−2 )

Two rectangular blocks of masses 40kg and 60kg are connected by a string and kept on a frictionless horizontal table. If a force of 1000N is applied on 60kg block away from 40kg block, then the tension in string is

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Two rectangular blocks of masses 40kg and 60kg are connected by a string and kept on a frictionless horizontal table. If a force of 1000N is applied on 60kg block away from 40kg block, then the tension in string is

A ball of mass 0.5kg moving horizontally at 10ms−1 strikes a vertical wall and rebounds with speed V. The magnitude of the change in linear momentum is found to be 8.0kgms−1. The magnitude of V is

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A ball of mass 0.5kg moving horizontally at 10ms−1 strikes a vertical wall and rebounds with speed V. The magnitude of the change in linear momentum is found to be 8.0kgms−1. The magnitude of V is

A mass of 1kg falls from a height of 1m and lands on a mass less platform supported by a spring having spring constant 15Nm−1 as shown in the figure. The maximum compression of the spring is.
(acceleration due to gravity =10ms−2 )

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A mass of 1kg falls from a height of 1m and lands on a mass less platform supported by a spring having spring constant 15Nm−1 as shown in the figure. The maximum compression of the spring is.
(acceleration due to gravity =10ms−2 )

A bead of mass 400g is moving along a straight line under a force that delivers a constant power 1.2W to the bead. If the bead is initially at rest, the speed it attains after 6sec in ms−1

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A bead of mass 400g is moving along a straight line under a force that delivers a constant power 1.2W to the bead. If the bead is initially at rest, the speed it attains after 6sec in ms−1

are placed at x=N, when N=2,3,4,...∞. If the total mass of the system is M, then the centre of mass is

are placed at x=N, when N=2,3,4,...∞. If the total mass of the system is M, then the centre of mass is

Consider a disc of radius R and mass M. A hole of radius ‌

R

3

is created in the disk such that the center of the hole is ‌

R

3

away from center of the disk. The moment of inertia of the system along the axis perpendicular to the disc passing through the center of the disc is

©

Consider a disc of radius R and mass M. A hole of radius ‌

R

3

is created in the disk such that the center of the hole is ‌

R

3

away from center of the disk. The moment of inertia of the system along the axis perpendicular to the disc passing through the center of the disc is

A hydrometer executes simple harmonic motion when it is pushed down vertically in a liquid of density ρ. If the mass of hydrometer is m and the radius of the hydrometer tube is r, then the time period of oscillation is

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A hydrometer executes simple harmonic motion when it is pushed down vertically in a liquid of density ρ. If the mass of hydrometer is m and the radius of the hydrometer tube is r, then the time period of oscillation is

An object undergoing simple harmonic motion takes 0.5s to travel from one point of zero velocity to the next such point. The angular frequency of the motion is

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An object undergoing simple harmonic motion takes 0.5s to travel from one point of zero velocity to the next such point. The angular frequency of the motion is

A projectile is thrown straight upward from the earth's surface with an initial speed V=αVE where α is a constant and VE is the escape speed. The projectile travels upto a height 800km from earth's surface, before it comes to rest. The value of the constant α is
(Radius of the earth =6400km )

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A projectile is thrown straight upward from the earth's surface with an initial speed V=αVE where α is a constant and VE is the escape speed. The projectile travels upto a height 800km from earth's surface, before it comes to rest. The value of the constant α is
(Radius of the earth =6400km )

Same tension is applied to the following four wires made of same material. The elongation is longest in

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Same tension is applied to the following four wires made of same material. The elongation is longest in

A cone with half the density of water is floating in water as shown in figure. It is depressed down by a small distance δ(≪H) and released. The frequency of simple harmonic oscillations of the cone is

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A cone with half the density of water is floating in water as shown in figure. It is depressed down by a small distance δ(≪H) and released. The frequency of simple harmonic oscillations of the cone is

Statement (A): When the temperature increases the viscosity of gases increases and the viscosity of liquids decreases.
Statement (B) : Water does not wet an oily glass because cohesive force of oil is less than that of water.
Statement (C) : A liquid will wet a surface of a solid if the angle of contact is greater than 90∘.

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Statement (A): When the temperature increases the viscosity of gases increases and the viscosity of liquids decreases.
Statement (B) : Water does not wet an oily glass because cohesive force of oil is less than that of water.
Statement (C) : A liquid will wet a surface of a solid if the angle of contact is greater than 90∘.

A sphere of surface area 4m2 at temperature 400K and having emissivity 0.5 is located in an environment of temperature 200K. The net rate of energy exchange of the sphere is
( Stefan Boltzmann constant σ=5.67×10−8Wm−2K4 )

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A sphere of surface area 4m2 at temperature 400K and having emissivity 0.5 is located in an environment of temperature 200K. The net rate of energy exchange of the sphere is
( Stefan Boltzmann constant σ=5.67×10−8Wm−2K4 )

A Carnot engine operates between a source and a sink. The efficiency of the engine is 40% and the temperature of the sink is 27∘C. If the efficiency is to be increased to 50% then the temperature of the source must the increased by

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A Carnot engine operates between a source and a sink. The efficiency of the engine is 40% and the temperature of the sink is 27∘C. If the efficiency is to be increased to 50% then the temperature of the source must the increased by

A car engine has a power of 20kW. The car makes a roundtrip of 1 hour. If the thermal efficiency of the engine is 40% and the ambient temperature is 300K. The energy generated by fuel combustion is

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A car engine has a power of 20kW. The car makes a roundtrip of 1 hour. If the thermal efficiency of the engine is 40% and the ambient temperature is 300K. The energy generated by fuel combustion is

The number of vibrational degrees of freedom of a diatomic molecule is

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The number of vibrational degrees of freedom of a diatomic molecule is

A body is suspended from a string of length 1m and mass 2g. The mass of the body to produce a fundamental mode of 100Hz frequency in the string is
(Acceleration due to gravity =10ms−2 )

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A body is suspended from a string of length 1m and mass 2g. The mass of the body to produce a fundamental mode of 100Hz frequency in the string is
(Acceleration due to gravity =10ms−2 )

Electrostatic force between two identical charges placed in vacuum at distance of r is F. A slab of width ‌

r

5

and dielectric constant 9 is inserted between these two charges, then the force between the charges is

©

Electrostatic force between two identical charges placed in vacuum at distance of r is F. A slab of width ‌

r

5

and dielectric constant 9 is inserted between these two charges, then the force between the charges is

A ray is incident from a medium of refractive index 2 into a medium of refractive index 1. The critical angle is

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A ray is incident from a medium of refractive index 2 into a medium of refractive index 1. The critical angle is

An electric dipole with dipole moment 5×10−7Cm is in the electric field of 2×104NC−1 at an angle of 60∘ with the direction of the electric field. The torque acting on the dipole is

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An electric dipole with dipole moment 5×10−7Cm is in the electric field of 2×104NC−1 at an angle of 60∘ with the direction of the electric field. The torque acting on the dipole is

A capacitor of capacitance C1=1µF is charged using a 9V battery. C1 is then removed from the battery \& connected to capacitors C2 and C3 of 2µF and 3µF respectively as shown in the figure. Find the charge on C3 after equilibrium has reached is

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A capacitor of capacitance C1=1µF is charged using a 9V battery. C1 is then removed from the battery \& connected to capacitors C2 and C3 of 2µF and 3µF respectively as shown in the figure. Find the charge on C3 after equilibrium has reached is

Two positive point charges of 10µC and 12µC are placed 10cm apart in air. The work done to bring them 6cm closer is

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Two positive point charges of 10µC and 12µC are placed 10cm apart in air. The work done to bring them 6cm closer is

Current density in a cylindrical wire of radius R varies with radial distance as β(r+r0)2. The current through the section of the wire shown in the figure is.

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Current density in a cylindrical wire of radius R varies with radial distance as β(r+r0)2. The current through the section of the wire shown in the figure is.

A cell can supply currents of 1 A and 0.5 A via resistances of 2.5Ω and 10Ω respectively. The internal resistance of the cell is

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A cell can supply currents of 1 A and 0.5 A via resistances of 2.5Ω and 10Ω respectively. The internal resistance of the cell is

Two infinitely long wires each carrying the same current and pointing in +y direction are placed in the xy - plane, at x=−2cm and x=1cm. An electron is fired with speed U from the origin making an angle of +45∘ from the x - axis. The force on the electron at the instant it is fired is
[ B0 is the magnitude of the field at origin due to the wire at x=1cm alone].

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Two infinitely long wires each carrying the same current and pointing in +y direction are placed in the xy - plane, at x=−2cm and x=1cm. An electron is fired with speed U from the origin making an angle of +45∘ from the x - axis. The force on the electron at the instant it is fired is
[ B0 is the magnitude of the field at origin due to the wire at x=1cm alone].

Two electrons, e1 and e2 of mass m and charge q are injected into the perpendicular direction of the magnetic field B such that the kinetic energy of e1 is double than that of e2. The relation of their frequencies of rotation. f1 and f2 is

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Two electrons, e1 and e2 of mass m and charge q are injected into the perpendicular direction of the magnetic field B such that the kinetic energy of e1 is double than that of e2. The relation of their frequencies of rotation. f1 and f2 is

A compass needle oscillates 20 times per minute at a place where the dip is 45∘ and the magnetic field is B1. The same needle oscillates 30 times per minute at a place where the dip is 30∘ and magnetic field is B2. Then B1:B2 is

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A compass needle oscillates 20 times per minute at a place where the dip is 45∘ and the magnetic field is B1. The same needle oscillates 30 times per minute at a place where the dip is 30∘ and magnetic field is B2. Then B1:B2 is

A plane electromagnetic wave travels in free space along z - axis. At a particular point in space, the electric field along x-axis is 8.7Vm−1. The magnetic field along y−axis is

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A plane electromagnetic wave travels in free space along z - axis. At a particular point in space, the electric field along x-axis is 8.7Vm−1. The magnetic field along y−axis is

A coil of inductance 0.1H and resistance 110Ω is connected to a source of 110V and 350Hz. The phase difference between the voltage maximum and the current maximum is

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A coil of inductance 0.1H and resistance 110Ω is connected to a source of 110V and 350Hz. The phase difference between the voltage maximum and the current maximum is

If the average power per unit area delivered by an electromagnetic wave is 9240Wm−2, then the amplitude of the oscillating magnetic field in EM wave is

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If the average power per unit area delivered by an electromagnetic wave is 9240Wm−2, then the amplitude of the oscillating magnetic field in EM wave is

A beam of light with intensity 10−3Nm−2 and cross sectional area 20cm2 is incident on a fully reflective surface at angle 45∘. Then the force exerted by the beam on the surface is

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A beam of light with intensity 10−3Nm−2 and cross sectional area 20cm2 is incident on a fully reflective surface at angle 45∘. Then the force exerted by the beam on the surface is

The metal which has the highest work function in the following is

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The metal which has the highest work function in the following is

Energy of a stationary electron in the hydrogen atom is E=−‌

13.6

n2

eV then the energies required to excite the electron in hydrogen atom to (a) its second excited state and (b) ionized state respectively

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Energy of a stationary electron in the hydrogen atom is E=−‌

13.6

n2

eV then the energies required to excite the electron in hydrogen atom to (a) its second excited state and (b) ionized state respectively

) versus ln‌A is where R is radius of a nucleus, A is its mass number. and R0 is constant

) versus ln‌A is where R is radius of a nucleus, A is its mass number. and R0 is constant

Output of following logic circuit is

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Output of following logic circuit is

The maximum number of TV signals, that can be transmitted along a co-axial cable is

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The maximum number of TV signals, that can be transmitted along a co-axial cable is

If ∆x is the uncertainity in position and ∆ϑ is the uncertainity in velocity of a particle are equal, the correct expression for uncertainity in momentum for the same particle is

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If ∆x is the uncertainity in position and ∆ϑ is the uncertainity in velocity of a particle are equal, the correct expression for uncertainity in momentum for the same particle is

The number of radial nodes, angular nodes of a 4f− orbital are respectively

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The number of radial nodes, angular nodes of a 4f− orbital are respectively

Lithium shows diagonal relationship with element ' X ' and aluminum with Y. X and Y respectively are

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Lithium shows diagonal relationship with element ' X ' and aluminum with Y. X and Y respectively are

The correct order of the metallic character of the elements Be,AI,Na,K is

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The correct order of the metallic character of the elements Be,AI,Na,K is

Choose the correct option from the following

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Choose the correct option from the following

The bond lengths of C2,N2 and B2 molecules are X1,X2 and X3 pm respectively. The correct order of their bond lengths is

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The bond lengths of C2,N2 and B2 molecules are X1,X2 and X3 pm respectively. The correct order of their bond lengths is

Among the gases a, b, c, d, e and f. the gases that show only positive deviation from ideal behavior at all pressures in the graph are

The statement related to law of definite proportions is

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The statement related to law of definite proportions is

What are the oxidation states of three Br atoms in Br3O8 molecule

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What are the oxidation states of three Br atoms in Br3O8 molecule

Identify the reaction/process in which the entropy increases.

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Identify the reaction/process in which the entropy increases.

State 1 ⇄ State 2 ⇄ State 3 (

Above shows a cyclic process. Calculate the total work done during one complete cycle.
(Assume a single step to reach the next state).

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State 1 ⇄ State 2 ⇄ State 3 (

Above shows a cyclic process. Calculate the total work done during one complete cycle.
(Assume a single step to reach the next state).

The formation of ammonia from its constituent elements is an exothermic reaction. The effect of increase temperature on the reaction equilibrium is

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The formation of ammonia from its constituent elements is an exothermic reaction. The effect of increase temperature on the reaction equilibrium is

Equal volumes of 0.5N acetic acid and 0.5N sodium acetate are mixed. What is the pH of resultant solution? (pKa of acetic acid =4.75)

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Equal volumes of 0.5N acetic acid and 0.5N sodium acetate are mixed. What is the pH of resultant solution? (pKa of acetic acid =4.75)

What are X and Y respectively in the following reactions
X+D2O→C2D2+P
Y+D2O→CD4+Q

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What are X and Y respectively in the following reactions
X+D2O→C2D2+P
Y+D2O→CD4+Q

Assertion (A):- MgSO4 is readily soluble in water
Reason (R):- The greater hydration enthalpy of Mg2+ ions overcome its lattice enthalpy.

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Assertion (A):- MgSO4 is readily soluble in water
Reason (R):- The greater hydration enthalpy of Mg2+ ions overcome its lattice enthalpy.

Identify A and B from the following reaction
NaNO3

Identify A and B from the following reaction
NaNO3

Identify the correct statements about Boron.
I. It has high melting point.
II. It has high density.
III. It has high electrical conductivity
IV. B-10 isotope of it has high ability to absorb neutrons

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Identify the correct statements about Boron.
I. It has high melting point.
II. It has high density.
III. It has high electrical conductivity
IV. B-10 isotope of it has high ability to absorb neutrons

Which of the following tetrahalides does not exist?

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Which of the following tetrahalides does not exist?

The correct order of acidity of the following is

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The correct order of acidity of the following is

The compound or ion which is not aromatic in the following is

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The compound or ion which is not aromatic in the following is

The number of network solids and ionic solids in the list given below is respectivelyH2O (ice), AlN,Cu,CaF2, diamond, MgO,CCl4,ZnS,Ag,NaCl,SiO2

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The number of network solids and ionic solids in the list given below is respectivelyH2O (ice), AlN,Cu,CaF2, diamond, MgO,CCl4,ZnS,Ag,NaCl,SiO2

If molten NaCl contains SrCl2 as impurity, crystallization can generate

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If molten NaCl contains SrCl2 as impurity, crystallization can generate

At T (K)xg of a non-volatile solid (molar mass 78gmol−1 ) when added to 0.5kg water, lowered its freezing point by 1.0∘C. What is x( in g)?(Kf of water at T(K)= 1.86KKgmol−1)

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At T (K)xg of a non-volatile solid (molar mass 78gmol−1 ) when added to 0.5kg water, lowered its freezing point by 1.0∘C. What is x( in g)?(Kf of water at T(K)= 1.86KKgmol−1)

Assertion (A): Blood cells collapse when suspended in saline water
Reason (R): Cell membrane dissolves in saline water

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Assertion (A): Blood cells collapse when suspended in saline water
Reason (R): Cell membrane dissolves in saline water

The reduction potential of hydrogen electrode at 25∘C in a neutral solution is (pH2=1 bar)

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The reduction potential of hydrogen electrode at 25∘C in a neutral solution is (pH2=1 bar)

The rate constant for a zero order reaction A→ products is 0.0030‌mol‌L−1‌s−1. How long it will take for the initial concentration of A to fall from 0.10M to 0.075M ?

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The rate constant for a zero order reaction A→ products is 0.0030‌mol‌L−1‌s−1. How long it will take for the initial concentration of A to fall from 0.10M to 0.075M ?

The diameters range of colloidal particles is approximately.

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The diameters range of colloidal particles is approximately.

Photographic plates are prepared by coating emulsion of which of the following in gelatin.

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Photographic plates are prepared by coating emulsion of which of the following in gelatin.

What are x and y in the following reaction?
xPb3O4→yPbO+O2

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What are x and y in the following reaction?
xPb3O4→yPbO+O2

Assertion (A): HCl gas is dried by passing through concentrated H2SO4.
Reason (R): HCl gas reacts with NH3 that gives white fumes

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Assertion (A): HCl gas is dried by passing through concentrated H2SO4.
Reason (R): HCl gas reacts with NH3 that gives white fumes

The catalyst used in the manufacture of polyethylene is a mixture of

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The catalyst used in the manufacture of polyethylene is a mixture of

Which of the following is correct related to the colours of TiCl3(X) [Ti(H2O)6]Cl3(Y).

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Which of the following is correct related to the colours of TiCl3(X) [Ti(H2O)6]Cl3(Y).

Which hormone tends to increase the blood glucose level in human?

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Which hormone tends to increase the blood glucose level in human?

Which of the following molecules is eliminated during peptide bond formation?

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Which of the following molecules is eliminated during peptide bond formation?

Identify the major product formed from the following

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Identify the major product formed from the following

When 1 -chloro butane is treated with aqueous KOH it gives P. However, when it is treated with alcoholic KOH it gives Q. Identify the products P and Q respectively

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When 1 -chloro butane is treated with aqueous KOH it gives P. However, when it is treated with alcoholic KOH it gives Q. Identify the products P and Q respectively

Identify the major product formed in the following reaction sequence

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Identify the major product formed in the following reaction sequence

Arrange the following in increasing order of their reactivity for nucleophilic addition reaction

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Arrange the following in increasing order of their reactivity for nucleophilic addition reaction

In the presence of peroxide, styrene reacts with HBr to give X. W When X reacted with magnesium in dry ether followed by CO2 and hydrolysis gave Y. Treatment of Y with PCl5 and then next with H2,Pd−BaSO4 gave Z. What is Z ?

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In the presence of peroxide, styrene reacts with HBr to give X. W When X reacted with magnesium in dry ether followed by CO2 and hydrolysis gave Y. Treatment of Y with PCl5 and then next with H2,Pd−BaSO4 gave Z. What is Z ?

Arrange the following in decreasing order of their pKb values

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Arrange the following in decreasing order of their pKb values

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