AP EAPCET - 05 July 2022

3	−3	4
2	−3	4
0	−1	1

], then AAT is a

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If A=[

3	−3	4
2	−3	4
0	−1	1

If AX=D represents the system of simultaneous linear equations x+y+z=6, 5x−y+2z=3 and 2x+y−z=−5 then ( Adj A)‌D=

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If AX=D represents the system of simultaneous linear equations x+y+z=6, 5x−y+2z=3 and 2x+y−z=−5 then ( Adj A)‌D=

1	0
2	1

],B=[

1	3
0	1

] then det(A6+B6)=

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If A=[

1	0
2	1

],B=[

1	3
0	1

cos‌x	−sin‌x	0
sin‌x	cos‌x	0
0	0	1

]. If x+y=0, then G(x)G(y)=

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Let G(x)=[

cos‌x	−sin‌x	0
sin‌x	cos‌x	0
0	0	1

]. If x+y=0, then G(x)G(y)=

By simplifying i18−3i7+i2(1+i4)(i)22 we get

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By simplifying i18−3i7+i2(1+i4)(i)22 we get

The values of x for which sin‌x+i‌cos‌2‌x and cos‌x−i‌sin‌2‌x are conjugate to each other are

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The values of x for which sin‌x+i‌cos‌2‌x and cos‌x−i‌sin‌2‌x are conjugate to each other are

The locus of a point z satisfying |z|2=Re(z) is a circle with centre

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The locus of a point z satisfying |z|2=Re(z) is a circle with centre

a2n‌cos‌2‌n‌θ then the least n for which a2n=0 is

a2n‌cos‌2‌n‌θ then the least n for which a2n=0 is

If S={m∈R:x2−2(1+3m)x+7(3+2m)=0 has distinct roots }, then the number of elements in S is

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If S={m∈R:x2−2(1+3m)x+7(3+2m)=0 has distinct roots }, then the number of elements in S is

The sum of the real roots of the equation x4−2x3+x−380=0 is

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The sum of the real roots of the equation x4−2x3+x−380=0 is

If one root of the cubic equation x3+36=7x2 is double of another, then the number of negative roots is

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If one root of the cubic equation x3+36=7x2 is double of another, then the number of negative roots is

If 10nC2=3n+1C3, then the value of n is

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If 10nC2=3n+1C3, then the value of n is

There are 10 points in a plane, out of these 6 are collinear. If N is the total number of triangles formed by joining these points, then N=

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There are 10 points in a plane, out of these 6 are collinear. If N is the total number of triangles formed by joining these points, then N=

205 students take an examination of whom 105 pass in English, 70 students pass in mathematics and 30 students pass in both. How many students fail in both subjects?

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205 students take an examination of whom 105 pass in English, 70 students pass in mathematics and 30 students pass in both. How many students fail in both subjects?

In an examination, the maximum marks for each of three subjects is n and that for the fourth subject is 2n. The number of ways in which candidates can get 3n marks is

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In an examination, the maximum marks for each of three subjects is n and that for the fourth subject is 2n. The number of ways in which candidates can get 3n marks is

=

=

Which of the following trigonometric values are negative?
I) sin(−292∘)
II) tan(−193∘)
III) cos(−207∘)
IV) cot(−2220)

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Which of the following trigonometric values are negative?
I) sin(−292∘)
II) tan(−193∘)
III) cos(−207∘)
IV) cot(−2220)

If sin‌θ+cosecθ=4, then sin2θ+cosec2θ=

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If sin‌θ+cosecθ=4, then sin2θ+cosec2θ=

=

=

If 2‌cosh‌2‌x+10‌sinh‌2‌x=5, then x=

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If 2‌cosh‌2‌x+10‌sinh‌2‌x=5, then x=

In any triangle ABC,‌

=

In any triangle ABC,‌

=

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

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

In a triangle ABC,a=6,b=5 and c=4, then cos‌2‌A=

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In a triangle ABC,a=6,b=5 and c=4, then cos‌2‌A=

a,b,c are non-coplanar vectors. If a+3b+4c=x(a−2b+3c)+y(a+5b−2c)+z(6a+14b+4c) then x+y+z=

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a,b,c are non-coplanar vectors. If a+3b+4c=x(a−2b+3c)+y(a+5b−2c)+z(6a+14b+4c) then x+y+z=

Three vectors of magnitudes a, 2a,3a are along the directions of the diagonals of 3 adjacent faces of a cube that meet in a point. Then the magnitude of the sum of those diagonals is

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Three vectors of magnitudes a, 2a,3a are along the directions of the diagonals of 3 adjacent faces of a cube that meet in a point. Then the magnitude of the sum of those diagonals is

If a is collinear with b=3i+6j+6k and a⋅b=27 then a∣=

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If a is collinear with b=3i+6j+6k and a⋅b=27 then a∣=

Let a,b,c be unit vectors such that a is perpendicular to the plane containing b and c and angle between b and c is ‌

Let a,b,c be unit vectors such that a is perpendicular to the plane containing b and c and angle between b and c is ‌

Let F=2i+2j+5k,A=(1,2,5),B=(−1,−2,−3) and BA×F=4i+6j+2λk then λ=

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Let F=2i+2j+5k,A=(1,2,5),B=(−1,−2,−3) and BA×F=4i+6j+2λk then λ=

If the mean deviation of the data 1,1+d,1+2d,...,1+100d,(d>0) from their mean is 255 , then ' d ' is equal to

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If the mean deviation of the data 1,1+d,1+2d,...,1+100d,(d>0) from their mean is 255 , then ' d ' is equal to

The probability of getting a sum 9 when two dice are thrown is

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The probability of getting a sum 9 when two dice are thrown is

If A and B are two events such that P(B)≠0 and P(B)≠1, then P(A∣B) is

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If A and B are two events such that P(B)≠0 and P(B)≠1, then P(A∣B) is

Two brothers X and Y appeared for an exam. Let A be the event that X has passed the exam and B is the event that Y has passed. The probability of A is ‌

. Then, the probability that both of them pass the exam is

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Two brothers X and Y appeared for an exam. Let A be the event that X has passed the exam and B is the event that Y has passed. The probability of A is ‌

. Then, the probability that both of them pass the exam is

A bag contains 4 red and 3 black balls. A second bag contains 2 red and 3 black balls. One bag is selected at random. If from the selected bag, one ball is drawn at random, then the probability that the ball drawn is red is

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A bag contains 4 red and 3 black balls. A second bag contains 2 red and 3 black balls. One bag is selected at random. If from the selected bag, one ball is drawn at random, then the probability that the ball drawn is red is

In a Binomial distribution, if ' n ' is the number of trials and the mean and variance are 4 and 3 respectively, then 232P(X=‌

n

2

)=

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In a Binomial distribution, if ' n ' is the number of trials and the mean and variance are 4 and 3 respectively, then 232P(X=‌

)=

For a Poisson distribution, if mean =ℓ, variance =m and ℓ+m=8, then e4[1−P(X>2)]=

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For a Poisson distribution, if mean =ℓ, variance =m and ℓ+m=8, then e4[1−P(X>2)]=

The locus of midpoints of points of intersection of x‌cos‌θ+y‌sin‌θ=1 with the coordinate axes is

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The locus of midpoints of points of intersection of x‌cos‌θ+y‌sin‌θ=1 with the coordinate axes is

Suppose P and Q lie on 3x+4y−4=0 and 5x−y−4=0 respectively. If the midpoint of PQ is (1,5), then the slope of the line passing through P and Q is

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Suppose P and Q lie on 3x+4y−4=0 and 5x−y−4=0 respectively. If the midpoint of PQ is (1,5), then the slope of the line passing through P and Q is

The length of intercept of x+1=0 between the lines 3x+2y=5 and 3x+2y=3 is

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The length of intercept of x+1=0 between the lines 3x+2y=5 and 3x+2y=3 is

Suppose that the three points A,B and C in the plane are such that their x-coordinates as well as y-coordinates are in GP with the same common ratio. Then the points A,B and C

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Suppose that the three points A,B and C in the plane are such that their x-coordinates as well as y-coordinates are in GP with the same common ratio. Then the points A,B and C

3(m1−m2)−7=0 and m1m2−2=0. Then which of the following is true?

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3(m1−m2)−7=0 and m1m2−2=0. Then which of the following is true?

Suppose that the sides passing through the vertex (α,β) of a triangle are bisected at right angles by the lines y2−8xy−ax2=0. Then the centroid of the triangle is

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Suppose that the sides passing through the vertex (α,β) of a triangle are bisected at right angles by the lines y2−8xy−ax2=0. Then the centroid of the triangle is

The radius of the circle having 3x−4y+4=0 and 6x−8y−7=0 as its tangents is

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The radius of the circle having 3x−4y+4=0 and 6x−8y−7=0 as its tangents is

A circle is such that (x−2)‌cos‌θ+(y−2)‌sin‌θ=1 touches it for all values of θ. Then the circle is

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A circle is such that (x−2)‌cos‌θ+(y−2)‌sin‌θ=1 touches it for all values of θ. Then the circle is

The least distance of the point (10,7) from the circle x2+y2−4x−2y−20=0 is

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The least distance of the point (10,7) from the circle x2+y2−4x−2y−20=0 is

Suppose that the x-coordinates of the points A and B satisfy x2+2x−a2=0 and their y-coordinates satisfy y2+4y−b2=0. Then the equation of the circle with AB as its diameter is

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Suppose that the x-coordinates of the points A and B satisfy x2+2x−a2=0 and their y-coordinates satisfy y2+4y−b2=0. Then the equation of the circle with AB as its diameter is

The radical centre of the three circles x2+y2−1=0,x2+y2−8x+15=0 and x2+y2+10y+24=0 is

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The radical centre of the three circles x2+y2−1=0,x2+y2−8x+15=0 and x2+y2+10y+24=0 is

Which of the following represents a parabola?

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Which of the following represents a parabola?

If the angle between the straight lines joining the foci and the ends of the minor axis of the ellipse ‌

=1 is 90∘, then its eccentricity is

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If the angle between the straight lines joining the foci and the ends of the minor axis of the ellipse ‌

=1 is 90∘, then its eccentricity is

The locus of point of intersection of tangents at the ends of normal chord of the hyperbola x2−y2=a2‌‌ is

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The locus of point of intersection of tangents at the ends of normal chord of the hyperbola x2−y2=a2‌‌ is

If e1 and e2 are the eccentricities of the hyperbola 16x2−9y2=1 and its conjugate respectively. Then 3e1=

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If e1 and e2 are the eccentricities of the hyperbola 16x2−9y2=1 and its conjugate respectively. Then 3e1=

If P divides the line segment joining the points A(1,2,−1) and B(−1,0,1) externally in the ratio 1:2 and Q=(1,3,−1) then PQ=

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If P divides the line segment joining the points A(1,2,−1) and B(−1,0,1) externally in the ratio 1:2 and Q=(1,3,−1) then PQ=

If the direction cosines of a line are (‌

If the direction cosines of a line are (‌

Let the plane π pass through the point (1,0,1) and perpendicular to the planes 2x+3y−z=2 and x−y+2z=1. Let the equation of the plane passing through the point (11.7,5) and parallel to the plane π be ax+by−z+d=0. Then ‌

=

Let the plane π pass through the point (1,0,1) and perpendicular to the planes 2x+3y−z=2 and x−y+2z=1. Let the equation of the plane passing through the point (11.7,5) and parallel to the plane π be ax+by−z+d=0. Then ‌

=

If a,b,c are three distinct real numbers and

If a,b,c are three distinct real numbers and

=

=

3f(cos‌x)+2f(sin‌x)=5x, then f′(cos‌x)+f′(sin‌x)=

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If

3f(cos‌x)+2f(sin‌x)=5x, then f′(cos‌x)+f′(sin‌x)=

]

]

If x=f(θ) and y=g(θ), then ‌

d2y

dx2

=

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If x=f(θ) and y=g(θ), then ‌

=

If the normal drawn at a print P on the curve 3y=6x−5x3 passes through (0,0) then the positive integral value of the abscissa of the point P is

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If the normal drawn at a print P on the curve 3y=6x−5x3 passes through (0,0) then the positive integral value of the abscissa of the point P is

The line joining the points (0,3) and (5,−2) is a tangent to the curve y=‌

The line joining the points (0,3) and (5,−2) is a tangent to the curve y=‌

y=x3−ax‌2+48x+7 is an increasing function for all real values of x, then a lies in the interval

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y=x3−ax‌2+48x+7 is an increasing function for all real values of x, then a lies in the interval

If a,b>0 then, minimum value of y=‌

If a,b>0 then, minimum value of y=‌

The point on the curve y=x2+4x+3 which is closest to the line y=3x+2 is

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The point on the curve y=x2+4x+3 which is closest to the line y=3x+2 is

[(sec−1√1+x2)2+cos−1(‌

[(sec−1√1+x2)2+cos−1(‌

=

=

If In=∫(cosnx+sinnx)dx, and In−‌

If In=∫(cosnx+sinnx)dx, and In−‌

Let T>0 be a fixed number. f:R→R is a continuous function such that f(x+T)=f(x) x∈R. If I=

Let T>0 be a fixed number. f:R→R is a continuous function such that f(x+T)=f(x) x∈R. If I=

[. ] represents greatest integer function, then

[. ] represents greatest integer function, then

The general solution of the differential equation ‌

dy

dx

=cos2(3x+y) is tan−1(‌

√3

2

‌tan(3x+y))=f(x). Then f(x)=

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The general solution of the differential equation ‌

dy

dx

=cos2(3x+y) is tan−1(‌

√3

2

‌tan(3x+y))=f(x). Then f(x)=

If the general solution of the differential equation cos2x‌

dy

dx

+y=tan‌x is y=tan‌x−1+Ce−tan‌x satisfies y(

If the general solution of the differential equation cos2x‌

dy

dx

+y=tan‌x is y=tan‌x−1+Ce−tan‌x satisfies y(

Assertion (A): Order of the differential equations of a family of circles with constant radius is two.
Reason (R): An algebraic equation having two arbitrary constants is general solution of a 2‌nd ‌ order differential equation.

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Assertion (A): Order of the differential equations of a family of circles with constant radius is two.
Reason (R): An algebraic equation having two arbitrary constants is general solution of a 2‌nd ‌ order differential equation.

The energy E of a system is a function of time t and is given by E(t)=αt−βt3 where α and β are constants. The dimensions of α and β are

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The energy E of a system is a function of time t and is given by E(t)=αt−βt3 where α and β are constants. The dimensions of α and β are

A student is at a distance 16m from a bus when the bus begins to move with a constant acceleration of 9ms−2. The minimum velocity with which the student should run towards the bus so as the catch it is α√2ms−1. The value of α is

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A student is at a distance 16m from a bus when the bus begins to move with a constant acceleration of 9ms−2. The minimum velocity with which the student should run towards the bus so as the catch it is α√2ms−1. The value of α is

The component of a vector

along the direction (

The component of a vector

along the direction (

A projectile is launched from the ground, such that it hits a target on the ground which is 90m away. The minimum velocity of projectile to hit the target is (acceleration due to gravity =10ms−2 )

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A projectile is launched from the ground, such that it hits a target on the ground which is 90m away. The minimum velocity of projectile to hit the target is (acceleration due to gravity =10ms−2 )

are mutually perpendicular, then the component of

along the direction of

is

are mutually perpendicular, then the component of

along the direction of

is

A body is travelling with 10ms−1 on a rough horizontal surface. It's velocity after 2s is 4ms−1. The co-efficient of kinetic friction between the block and the plane is (acceleration due to gravity =10ms−2 )

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A body is travelling with 10ms−1 on a rough horizontal surface. It's velocity after 2s is 4ms−1. The co-efficient of kinetic friction between the block and the plane is (acceleration due to gravity =10ms−2 )

A small disc of mass m slides down with initial velocity zero from the top (A) of a smooth hill of height H having a horizontal portion (BC) as shown in the figure. If the height of the horizontal portion of the hill is h, then the maximum horizontal distance covered by the disc from the point D is

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A small disc of mass m slides down with initial velocity zero from the top (A) of a smooth hill of height H having a horizontal portion (BC) as shown in the figure. If the height of the horizontal portion of the hill is h, then the maximum horizontal distance covered by the disc from the point D is

A block of mass 50kg is pulled at a constant speed of 4ms−1 across a horizontal floor by an applied force of 500N directed 30∘ above the horizontal. The rate at which the force does work on the block in watt is

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A block of mass 50kg is pulled at a constant speed of 4ms−1 across a horizontal floor by an applied force of 500N directed 30∘ above the horizontal. The rate at which the force does work on the block in watt is

Ball A of mass 1kg moving along a straight line with a velocity of 4ms−1 hits another ball B of mass 3kg which is at rest. After collision, they stick together and move with the same velocity along the same straight line. If the time of impact of the collision is 0.1s then the force exerted on B is

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Ball A of mass 1kg moving along a straight line with a velocity of 4ms−1 hits another ball B of mass 3kg which is at rest. After collision, they stick together and move with the same velocity along the same straight line. If the time of impact of the collision is 0.1s then the force exerted on B is

A solid cylinder of radius R is at rest at a height h on an inclined plane. If it rolls down then its velocity on reaching the ground is

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A solid cylinder of radius R is at rest at a height h on an inclined plane. If it rolls down then its velocity on reaching the ground is

A particle is executing simple harmonic motion with an instantaneous displacement x=Asin2(ωt−‌

π

4

). The time period of oscillation of the particle is

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A particle is executing simple harmonic motion with an instantaneous displacement x=Asin2(ωt−‌

π

4

). The time period of oscillation of the particle is

If the amplitude of a lightly damped oscillator decreases by 1.5% then the mechanical energy of the oscillator lost in each cycle is

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If the amplitude of a lightly damped oscillator decreases by 1.5% then the mechanical energy of the oscillator lost in each cycle is

Statement (A): Two artificial satellites revolving in the same circular orbit have same period of revolution.
Statement (B): The orbital velocity is inversely proportional to the square root of radius of the orbit.
Statement (C): The escape velocity of the body is independent of the altitude of the point of projection.

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Statement (A): Two artificial satellites revolving in the same circular orbit have same period of revolution.
Statement (B): The orbital velocity is inversely proportional to the square root of radius of the orbit.
Statement (C): The escape velocity of the body is independent of the altitude of the point of projection.

Two wires A and B of same cross-section are connected end to end. When same tension is created in both wires, the elongation in B wire is twice the elongation in A wire. If LA and LB are the initial lengths of the wires A and B respectively, then (Young's modulus of material of wire A=2×1011Nm−2 and Young's modulus of material of wire B=1.1×1011Nm−2 ).

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Two wires A and B of same cross-section are connected end to end. When same tension is created in both wires, the elongation in B wire is twice the elongation in A wire. If LA and LB are the initial lengths of the wires A and B respectively, then (Young's modulus of material of wire A=2×1011Nm−2 and Young's modulus of material of wire B=1.1×1011Nm−2 ).

5g of ice at −30∘C and 20g of water at 35∘C are mixed together in a calorimeter. The final temperature of the mixture is Neglect heat capacity of the calorimeter, specific heat capacity of ice =0.5calg−1‌∘C−1 and latent heat of fusion of ice =80calg−1 and specific heat capacity of water =1calg−1‌∘C−1 )

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5g of ice at −30∘C and 20g of water at 35∘C are mixed together in a calorimeter. The final temperature of the mixture is Neglect heat capacity of the calorimeter, specific heat capacity of ice =0.5calg−1‌∘C−1 and latent heat of fusion of ice =80calg−1 and specific heat capacity of water =1calg−1‌∘C−1 )

A hydraulic lift is shown in the figure. The movable pistons A,B and C are of radius 10cm,100cm and 5m respectively. If a body of mass 2kg is placed on piston A. the maximum masses that can be lifted by piston B and C are respectively

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A hydraulic lift is shown in the figure. The movable pistons A,B and C are of radius 10cm,100cm and 5m respectively. If a body of mass 2kg is placed on piston A. the maximum masses that can be lifted by piston B and C are respectively

An iron sphere having diameter D and mass M is immersed in hot water so that the temperature of the sphere increases by δT. If α is the coefficient of linear expansion of the iron then the change in the surface area of the sphere is

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An iron sphere having diameter D and mass M is immersed in hot water so that the temperature of the sphere increases by δT. If α is the coefficient of linear expansion of the iron then the change in the surface area of the sphere is

The work done by a Carnot engine operating between 300K and 400K is 400J. The energy exhausted by the engine is

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The work done by a Carnot engine operating between 300K and 400K is 400J. The energy exhausted by the engine is

The slopes of the isothermal and adiabatic p−v graphs of a gas are by SI and SA respectively. If the heat capacity ratio of the gas is ‌

=

The slopes of the isothermal and adiabatic p−v graphs of a gas are by SI and SA respectively. If the heat capacity ratio of the gas is ‌

=

The number of rotational degrees of freedom of a diatomic molecule

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The number of rotational degrees of freedom of a diatomic molecule

Two cars are moving towards each other at the speed of 50ms‌−1. If one of the cars blows a horn at a frequency of 250Hz, the wave length of the sound perceived by the driver of the other car is ( Speed of sound in air =350ms−1 )

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Two cars are moving towards each other at the speed of 50ms‌−1. If one of the cars blows a horn at a frequency of 250Hz, the wave length of the sound perceived by the driver of the other car is ( Speed of sound in air =350ms−1 )

A needle is lying at the bottom of a water tank of height 12cm. The apparent depth of the needle measured by a microscope is 9cm. If the water is replaced by a liquid of refractive index of 1.5 of same height, the distance through which the microscope has to be moved to focus the needle again is

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A needle is lying at the bottom of a water tank of height 12cm. The apparent depth of the needle measured by a microscope is 9cm. If the water is replaced by a liquid of refractive index of 1.5 of same height, the distance through which the microscope has to be moved to focus the needle again is

Young's double slit experiment is conducted with monochromatic light of wavelength 5000Å, with slit separation of 3mm and observer at 20cm away from the slits. If a 1mm transparent plate is placed in front of one of the slits, the fringes shift by 6mm. The refractive index of the transparent plate is

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Young's double slit experiment is conducted with monochromatic light of wavelength 5000Å, with slit separation of 3mm and observer at 20cm away from the slits. If a 1mm transparent plate is placed in front of one of the slits, the fringes shift by 6mm. The refractive index of the transparent plate is

A large number of positive charges each of magnitude q are placed along the x-axis at the origin and at every 1cm distance in both the directions. The electric flux through a spherical surface of radius 2.5cm centered at the origin is

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A large number of positive charges each of magnitude q are placed along the x-axis at the origin and at every 1cm distance in both the directions. The electric flux through a spherical surface of radius 2.5cm centered at the origin is

The capacitance between the points A and B in the following figure.

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The capacitance between the points A and B in the following figure.

The electric field in a region of space is given as

. Consider point A on the y - axis at y=5m and point B on the axis at x=2m. If the potentials at points A and B are VA and VB respectively, then (VB−VA) is

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The electric field in a region of space is given as

. Consider point A on the y - axis at y=5m and point B on the axis at x=2m. If the potentials at points A and B are VA and VB respectively, then (VB−VA) is

In the given circuit values of I1,I2,I3 are respectively

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In the given circuit values of I1,I2,I3 are respectively

The resistance of a wire at 0∘C is 20Ω. If the temperature coefficient of the resistance is 5×10−3‌∘C−1. The temperature at which the resistance will be double of that at 0∘C is

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The resistance of a wire at 0∘C is 20Ω. If the temperature coefficient of the resistance is 5×10−3‌∘C−1. The temperature at which the resistance will be double of that at 0∘C is

An electron having kinetic energy of 100eV circulates in a path of radius 10cm in a magnetic field. The magnitude of magnetic field |

→

B

| is approximately [Mass of electron =0.5MeVC−2, where C is the velocity of light].

©

An electron having kinetic energy of 100eV circulates in a path of radius 10cm in a magnetic field. The magnitude of magnetic field |

→

B

| is approximately [Mass of electron =0.5MeVC−2, where C is the velocity of light].

A particle of mass 2.2×10−30kg and charge 1.6×10−19C is moving at a speed of 10kmss−1 in a circular path of radius 2.8cm inside a solenoid. The solenoid has 25‌‌ turns ‌/cm and its magnetic field is perpendicular to the plane of the particle's path. The current in the solenoid is (Take µ0=4π×10−7Hm−1 )

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A particle of mass 2.2×10−30kg and charge 1.6×10−19C is moving at a speed of 10kmss−1 in a circular path of radius 2.8cm inside a solenoid. The solenoid has 25‌‌ turns ‌/cm and its magnetic field is perpendicular to the plane of the particle's path. The current in the solenoid is (Take µ0=4π×10−7Hm−1 )

Two short magnets of equal dipole moments M are fastened perpendicularly at their centers. The magnitude of the magnetic field at a distance d from the centre on the bisector of the right angle is (µ0 - Permeability of free space)

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Two short magnets of equal dipole moments M are fastened perpendicularly at their centers. The magnitude of the magnetic field at a distance d from the centre on the bisector of the right angle is (µ0 - Permeability of free space)

A circular loop of wire of radius 14cm is placed in a magnetic field directed perpendicular to the plane of the loop. If the field decreases at a steady rate of 0.05Ts−1 in some interval, then the magnitude of the emf induced in the loop is

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A circular loop of wire of radius 14cm is placed in a magnetic field directed perpendicular to the plane of the loop. If the field decreases at a steady rate of 0.05Ts−1 in some interval, then the magnitude of the emf induced in the loop is

An RLC circuit consists of a 150Ω resistor, 20µF capacitor and a 500mH inductor connected in series with a 100VAC supply. The angular frequency of the supply voltage is 400rads−1. The phase angle between current and the applied voltage is

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An RLC circuit consists of a 150Ω resistor, 20µF capacitor and a 500mH inductor connected in series with a 100VAC supply. The angular frequency of the supply voltage is 400rads−1. The phase angle between current and the applied voltage is

The magnetic field in a plane electromagnetic wave is given B=(3×10−7T)‌sin(3×104x+9×1012t)‌

∧

j

The electric field of this wave is given as

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The magnetic field in a plane electromagnetic wave is given B=(3×10−7T)‌sin(3×104x+9×1012t)‌

∧

j

The electric field of this wave is given as

In Young's double slit experiment, the slits are 3mm apart and are illuminated by light of two wavelengths 3750Å and 7500Å. The screen is placed at 4m from the slits. The minimum distance from the common central bright fringe on the screen at which the bright fringe of one interference pattern due to one wavelength coincide with the bright fringe of the other is

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In Young's double slit experiment, the slits are 3mm apart and are illuminated by light of two wavelengths 3750Å and 7500Å. The screen is placed at 4m from the slits. The minimum distance from the common central bright fringe on the screen at which the bright fringe of one interference pattern due to one wavelength coincide with the bright fringe of the other is

The following statement is correct in the case of photoelectric effect

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The following statement is correct in the case of photoelectric effect

An electron in the hydrogen atom excites from 2‌nd ‌ orbit to 4‌th ‌ orbit then the change in angular momentum of the electron is (Planck's constant h=6.64×10−34J−s )

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An electron in the hydrogen atom excites from 2‌nd ‌ orbit to 4‌th ‌ orbit then the change in angular momentum of the electron is (Planck's constant h=6.64×10−34J−s )

Choose the correct statement of the following

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Choose the correct statement of the following

An ancient discovery found a sample, where 75% of the original carbon (C14) remains. Then the age of the sample is (T1∕2(C14)=5730‌ years, ‌ln‌0.5=−0.7,ln(0.75)=−0.3)

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An ancient discovery found a sample, where 75% of the original carbon (C14) remains. Then the age of the sample is (T1∕2(C14)=5730‌ years, ‌ln‌0.5=−0.7,ln(0.75)=−0.3)

Frequencies in the UHF range normally propagate by means of

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Frequencies in the UHF range normally propagate by means of

The wavelength associated with the electron moving in the first orbit of hydrogen atom with velocity 2.2×106ms−1 (in nm) is
(me=9.0×10−31kg,h=6.6×10−34Js)

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The wavelength associated with the electron moving in the first orbit of hydrogen atom with velocity 2.2×106ms−1 (in nm) is
(me=9.0×10−31kg,h=6.6×10−34Js)

The energy required (in eV ) to excite an electron of H-atom from the ground state to the third state is

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The energy required (in eV ) to excite an electron of H-atom from the ground state to the third state is

An element ' X ' with atomic number 13 forms a complex of the type [XCl(H2O)5]2+. The covalency and oxidation state of X in it are respectively

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An element ' X ' with atomic number 13 forms a complex of the type [XCl(H2O)5]2+. The covalency and oxidation state of X in it are respectively

In which of the following, oxides of three elements X,Y and Z are correctly arranged in the increasing order of acidic nature. The electronic configurations of
X,Y and Z are [Ne]3s23p1,[Ne]3s23p5,[Ne]3s2 respectively.

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In which of the following, oxides of three elements X,Y and Z are correctly arranged in the increasing order of acidic nature. The electronic configurations of
X,Y and Z are [Ne]3s23p1,[Ne]3s23p5,[Ne]3s2 respectively.

In the Lewis dot structure of carbonate ion shown under the formal charges on the oxygen atoms 1.2&3 are respectively:

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In the Lewis dot structure of carbonate ion shown under the formal charges on the oxygen atoms 1.2&3 are respectively:

The set of species having only fractional bond order values is

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The set of species having only fractional bond order values is

Identify the correct variation of pressure and volume of a real gas (A) and an ideal gas (B) at constant temperature. (y=P:x=V)

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Identify the correct variation of pressure and volume of a real gas (A) and an ideal gas (B) at constant temperature. (y=P:x=V)

What are the oxidation numbers on S atoms in S4O6‌2−

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What are the oxidation numbers on S atoms in S4O6‌2−

50g of a substance is dissolved in 1kg of water at +90∘C. The temperature is reduced to +100C. The density is increased from 1.1 to 1.15gcc−1. What is the % change of molarity of the solution?

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50g of a substance is dissolved in 1kg of water at +90∘C. The temperature is reduced to +100C. The density is increased from 1.1 to 1.15gcc−1. What is the % change of molarity of the solution?

I. At 0K, the entropy of pure crystalline materials approach zero.
II. Entropy for the process, H2O(l)⟶H2O (g) decreases.
III. Gibbs energy is a state function.

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I. At 0K, the entropy of pure crystalline materials approach zero.
II. Entropy for the process, H2O(l)⟶H2O (g) decreases.
III. Gibbs energy is a state function.

Use the data from table to estimate the enthalpy of formation of CH3CHO‌. ‌.

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Use the data from table to estimate the enthalpy of formation of CH3CHO‌. ‌.

At 500K , for the reaction, N2(g)+3H2(g)⇌2N3(g) , the KP is 0.036atm−2 . What is its Kc in L2mol−2?(R=0.082L‌atm‌mol−1K−1 .

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At 500K , for the reaction, N2(g)+3H2(g)⇌2N3(g) , the KP is 0.036atm−2 . What is its Kc in L2mol−2?(R=0.082L‌atm‌mol−1K−1 .

The relative basic strength of the compounds is correctly shown in the option

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The relative basic strength of the compounds is correctly shown in the option

Calcium carbide +D2O→xX+Ca(OD)2. The hybridization of carbon atom ∕s in X

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Calcium carbide +D2O→xX+Ca(OD)2. The hybridization of carbon atom ∕s in X

Identify the correct statements from the following
(a) BeSO4 is soluble in water
(b) BeO is an amphoteric oxide
(c) CO can be obtained by heating CaCO3 at 1070−1270K.

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Identify the correct statements from the following
(a) BeSO4 is soluble in water
(b) BeO is an amphoteric oxide
(c) CO can be obtained by heating CaCO3 at 1070−1270K.

The two major constituents of Portland cement are

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The two major constituents of Portland cement are

Identify the species, which does not exist

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Identify the species, which does not exist

The IUPAC name of the following compound is

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The IUPAC name of the following compound is

The gaseous mixture used for welding of metals is

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The gaseous mixture used for welding of metals is

An element crystallizing in fcc lattice has a density of 8.92gcm−3 and edge length of 3.61X10−8cm. What is the atomic weight of element? (N=6.022X1023mol−1)

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An element crystallizing in fcc lattice has a density of 8.92gcm−3 and edge length of 3.61X10−8cm. What is the atomic weight of element? (N=6.022X1023mol−1)

Which of the following statement is correct for fcc lattice?

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Which of the following statement is correct for fcc lattice?

0.05 mole of a non-volatile solute is dissolved in 500g of water. What is the depression in freezing point of resultant solution? (Kf(H2O)=1.86Kkgmol−1)

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0.05 mole of a non-volatile solute is dissolved in 500g of water. What is the depression in freezing point of resultant solution? (Kf(H2O)=1.86Kkgmol−1)

Which of the following form an ideal solution?
(I) Chloroethane and bromoethane
(II) Benzene and toluene
(III) n - Hexane and n - heptane
(IV) Phenol and aniline

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Which of the following form an ideal solution?
(I) Chloroethane and bromoethane
(II) Benzene and toluene
(III) n - Hexane and n - heptane
(IV) Phenol and aniline

96.5 amperes current is passed through the molten AlCl3 for 100 seconds. The mass of aluminum deposited at the cathode is (Atomic weight of Al=27u )

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96.5 amperes current is passed through the molten AlCl3 for 100 seconds. The mass of aluminum deposited at the cathode is (Atomic weight of Al=27u )

The rate constant of a reaction at 500K and 700K are 0.02s−1 and 0.2s−1 respectively. The activation energy of the reaction (in kJmol−1 ) is (R=8.3JK−1mol−1)

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The rate constant of a reaction at 500K and 700K are 0.02s−1 and 0.2s−1 respectively. The activation energy of the reaction (in kJmol−1 ) is (R=8.3JK−1mol−1)

The correct order of coagulating power of the following ions to coagulate the positive sol is

The correct order of coagulating power of the following ions to coagulate the positive sol is

Assertion (A): 16‌th ‌ group elements have higher ionization enthalpy values than 15‌th ‌ group elements in the corresponding periods.
Reason (R): 15‌th ‌ group elements have half-filled stable electronic configurations.

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Assertion (A): 16‌th ‌ group elements have higher ionization enthalpy values than 15‌th ‌ group elements in the corresponding periods.
Reason (R): 15‌th ‌ group elements have half-filled stable electronic configurations.

Assertion (A): Fluorine has smaller negative electron gain enthalpy than chlorine
Reason (R): The electron - electron repulsion is higher in chlorine than in fluorine

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Assertion (A): Fluorine has smaller negative electron gain enthalpy than chlorine
Reason (R): The electron - electron repulsion is higher in chlorine than in fluorine

Identify the isoelectronic pair of ions from the following

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Identify the isoelectronic pair of ions from the following

The homoleptic complex in the following is

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The homoleptic complex in the following is

Carbohydrates are stored in plants and animals in which of the following forms respectively?

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Carbohydrates are stored in plants and animals in which of the following forms respectively?

Glycylalanine is a dipeptide of which amino acids?

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Glycylalanine is a dipeptide of which amino acids?

Identify the major product formed from the following reaction?

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Identify the major product formed from the following reaction?

Identify the major product of the following reaction

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Identify the major product of the following reaction

Identify the product/s formed in the following reaction

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Identify the product/s formed in the following reaction

Which compound is formed on catalytic hydrogenation of carbon monoxide at high P and high T in presence of ZnO−Cr2O3 catalyst?

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Which compound is formed on catalytic hydrogenation of carbon monoxide at high P and high T in presence of ZnO−Cr2O3 catalyst?

Identify the major product from the following reaction sequence

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Identify the major product from the following reaction sequence

Arrange the following in decreasing order of their boiling points

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Arrange the following in decreasing order of their boiling points