AP EAPCET - 08 July 2022

1	−3	2
−2	1	3
3	2	−1

] then A2 Adj A=

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If A=[

1	−3	2
−2	1	3
3	2	−1

1	2	3	4
2	4	8	12
0	0	4	8

] then the rank of A is

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If A=[

1	2	3	4
2	4	8	12
0	0	4	8

] then the rank of A is

The set of values of k for which the system of simultaneous equations x+y+kz=1. 2x+2y=3 and x+2y+2kz=k has no real solution is

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The set of values of k for which the system of simultaneous equations x+y+kz=1. 2x+2y=3 and x+2y+2kz=k has no real solution is

Area of the triangle formed by the complex numbers z, iz and z+iz in the Argand diagram as vertices is

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Area of the triangle formed by the complex numbers z, iz and z+iz in the Argand diagram as vertices is

If the Argz1 and Argz2 are ‌

respectively then the value of Argz1+Argz2 is

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If the Argz1 and Argz2 are ‌

respectively then the value of Argz1+Argz2 is

If 1,ω,ω2 are the cube roots of unity then the value of If 1,ω,ω2 are the cube roots of unity then the value of

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If 1,ω,ω2 are the cube roots of unity then the value of If 1,ω,ω2 are the cube roots of unity then the value of

If x2+px+1 is a factor of ax3+bx+c, then

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If x2+px+1 is a factor of ax3+bx+c, then

The quadratic equation whose sum of the roots is 11 and sum of squares of the roots is 61 is

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The quadratic equation whose sum of the roots is 11 and sum of squares of the roots is 61 is

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

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

The product of real roots of the equation 4x4−24x3+57x2+18x−45=0 if one of the root is 3+i√6 is

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The product of real roots of the equation 4x4−24x3+57x2+18x−45=0 if one of the root is 3+i√6 is

What is the rank of the word "MOTHER" when all possible words are formed using all its letters and arranged as in a dictionary?

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What is the rank of the word "MOTHER" when all possible words are formed using all its letters and arranged as in a dictionary?

The number of 5 card combinations out of a deck of 52 cards if there is exactly one ace in each combination is

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The number of 5 card combinations out of a deck of 52 cards if there is exactly one ace in each combination is

If ‌10Pr=604800 and ‌10Cr=120 then r=

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If ‌10Pr=604800 and ‌10Cr=120 then r=

A question paper consists of two sections having 3 and 4 questions respectively. The following note is given on the paper "It is not necessary to attempt all the questions. One question from each section is compulsory". In how many ways can a candidate select the questions?

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A question paper consists of two sections having 3 and 4 questions respectively. The following note is given on the paper "It is not necessary to attempt all the questions. One question from each section is compulsory". In how many ways can a candidate select the questions?

=

=

=

=

In any triangle ABC,sin‌

A

2

≤

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In any triangle ABC,sin‌

≤

If 2‌sin‌2‌θ=√3, then θ=

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If 2‌sin‌2‌θ=√3, then θ=

If one solution of the equation cosh‌x−‌

4

5

‌sinh‌x=1 is x=0, then the other solution is x=

©

If one solution of the equation cosh‌x−‌

4

5

‌sinh‌x=1 is x=0, then the other solution is x=

In a triangle ABC,(b+c)‌sin‌

A

2

=

©

In a triangle ABC,(b+c)‌sin‌

=

In a triangle ABC, if a−2b+c=0, then cot(‌

)=

In a triangle ABC, if a−2b+c=0, then cot(‌

)=

In a △ABC, if a=13,b=14 and c=15, then sin(‌

A

2

)=

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In a △ABC, if a=13,b=14 and c=15, then sin(‌

)=

A(2,1,2),B(1,0,0),C(1+√3,√3,−√6) are vertices of a triangle. If the length of the median drawn through A is λ√9−2√3+2√6 then λ=

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A(2,1,2),B(1,0,0),C(1+√3,√3,−√6) are vertices of a triangle. If the length of the median drawn through A is λ√9−2√3+2√6 then λ=

If G(2,−1,2) is the centroid of tetrahedron OABC where O=(0,0,0) and G1 is the centroid of △ABC, then |OG1|=

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If G(2,−1,2) is the centroid of tetrahedron OABC where O=(0,0,0) and G1 is the centroid of △ABC, then |OG1|=

Let a=a1i+a2j+a3k where a1,a2,a3 and |a| are rational numbers. If a makes an angle 45∘ with b and b=√2i+3√2j+4k then a lies in

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Let a=a1i+a2j+a3k where a1,a2,a3 and |a| are rational numbers. If a makes an angle 45∘ with b and b=√2i+3√2j+4k then a lies in

If e1,e2 are two non-collinear unit vectors such that |e1+e2|=√3 then (2e1−5e2)⋅(3e1+e2)=

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If e1,e2 are two non-collinear unit vectors such that |e1+e2|=√3 then (2e1−5e2)⋅(3e1+e2)=

A. B. C. D are any 4 points and
|AB×CD+BC×AD+CA×BD|=λ(" Area of △ ABC ) then "λ=

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A. B. C. D are any 4 points and
|AB×CD+BC×AD+CA×BD|=λ(" Area of △ ABC ) then "λ=

The mean deviation about the median for the following data 6,3,4,9,2,7 and 11 is

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The mean deviation about the median for the following data 6,3,4,9,2,7 and 11 is

A box contains 6 bottles of V1 drink, 3 bottles of V2 drink and 4 bottles of V3 drink. If three bottles are drawn at random, then the probability that the three are not of the same variety is

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A box contains 6 bottles of V1 drink, 3 bottles of V2 drink and 4 bottles of V3 drink. If three bottles are drawn at random, then the probability that the three are not of the same variety is

One card is drawn at random from a well shuffled pack of 52 cards. The probability that the card drawn is a face card (Jack, Queen and King only) is

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One card is drawn at random from a well shuffled pack of 52 cards. The probability that the card drawn is a face card (Jack, Queen and King only) is

Four cards are drawn at random from a pack of 52 playing cards. The probability of getting all four cards of the same suit is

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Four cards are drawn at random from a pack of 52 playing cards. The probability of getting all four cards of the same suit is

A special lottery is to be held to select a student who will live in the only deluxe room available in a hostel. 100 III year, 150 II year and 200 I year students have applied for the room. Each III year student's name is placed in the lottery 3 times. each II year student's name 2 times and I year student's name 1 time. The probability that a III year student gets the room is

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A special lottery is to be held to select a student who will live in the only deluxe room available in a hostel. 100 III year, 150 II year and 200 I year students have applied for the room. Each III year student's name is placed in the lottery 3 times. each II year student's name 2 times and I year student's name 1 time. The probability that a III year student gets the room is

The discrete random variables X and Y are independent from one another and are defined as X∼B(n1,0.5) and Y∼B(n2,0.4). If the variance of both X and Y is 6 then √n1+n2=

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The discrete random variables X and Y are independent from one another and are defined as X∼B(n1,0.5) and Y∼B(n2,0.4). If the variance of both X and Y is 6 then √n1+n2=

The probability that A wakes up before the alarm rings is 0.4. Then, the mean and variance of the number of times A wakes up before the alarm rings, in the next 7 days respectively are:

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The probability that A wakes up before the alarm rings is 0.4. Then, the mean and variance of the number of times A wakes up before the alarm rings, in the next 7 days respectively are:

In △ABC, if A is (1,2),B and C lie on y=x+α (where α is variable), then the locus of the orthocenter of the triangle is

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In △ABC, if A is (1,2),B and C lie on y=x+α (where α is variable), then the locus of the orthocenter of the triangle is

Given two points Q(3,4) and R(1,2). What is the point P(x, y) on the line 2x−y−1=0 for which PQ+PR=QR holds

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Given two points Q(3,4) and R(1,2). What is the point P(x, y) on the line 2x−y−1=0 for which PQ+PR=QR holds

Suppose the vertices of a triangle are given by A(0,3),B(−2,0) and C(6,1). For (α,α+1) to lie inside the triangle, α should lie in the interval

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Suppose the vertices of a triangle are given by A(0,3),B(−2,0) and C(6,1). For (α,α+1) to lie inside the triangle, α should lie in the interval

For a triangle formed by (0,0),(4,0) and (3,4), the orthocenter is

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For a triangle formed by (0,0),(4,0) and (3,4), the orthocenter is

Suppose the pairs of straight lines x2−2axy−y2=0 and x2−2bxy−y2=0 are such that each pair bisects the angles between the other two. Then ab=

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Suppose the pairs of straight lines x2−2axy−y2=0 and x2−2bxy−y2=0 are such that each pair bisects the angles between the other two. Then ab=

Suppose a triangle of area 27 sq. units is formed by 18x2−9xy+y2=0 and y=c. Then the centroid of the triangle is

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Suppose a triangle of area 27 sq. units is formed by 18x2−9xy+y2=0 and y=c. Then the centroid of the triangle is

If a point P(α,β) on the line y=1 is such that the two distinct chords drawn on x2+y2−ax−y=0 from P are bisected by the x-axis, then

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If a point P(α,β) on the line y=1 is such that the two distinct chords drawn on x2+y2−ax−y=0 from P are bisected by the x-axis, then

The ratio of the areas of the concentric circles x2+y2−6x+12y+15=0 and x2+y2−6x+12y−15=0 is

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The ratio of the areas of the concentric circles x2+y2−6x+12y+15=0 and x2+y2−6x+12y−15=0 is

For any real number λ≠1, the centre of the circle that passes through A(1,λ),B(λ,1) and C(λ,λ) is

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For any real number λ≠1, the centre of the circle that passes through A(1,λ),B(λ,1) and C(λ,λ) is

The shortest distance from the line 3x+4y=25 to the circle x2+y2−6x+8y=0 is

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The shortest distance from the line 3x+4y=25 to the circle x2+y2−6x+8y=0 is

The straight line x‌cos‌α+y‌sin‌α=p cuts the circle x2+y2−a2=0 at A and B. Then the equation of circle having AB as diameter is

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The straight line x‌cos‌α+y‌sin‌α=p cuts the circle x2+y2−a2=0 at A and B. Then the equation of circle having AB as diameter is

The equation of directrix of parabola x2+8x+12y+4=0 is

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The equation of directrix of parabola x2+8x+12y+4=0 is

=1 be two ellipses and R be a rectangle with sides parallel to the coordinate axes. Let E1 be inscribed ellipse in R and E2 be circumscribed ellipse on R. If E2 passes through (0,4) then

=1 be two ellipses and R be a rectangle with sides parallel to the coordinate axes. Let E1 be inscribed ellipse in R and E2 be circumscribed ellipse on R. If E2 passes through (0,4) then

If one of the roots of the equation x2−5x−14=0 is the length of the semi conjugate axis of the hyperbola ‌

=1 and the square of the other root is the semitransverse axis then the focus of the hyperbola that lies on the positive x-axis is

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If one of the roots of the equation x2−5x−14=0 is the length of the semi conjugate axis of the hyperbola ‌

=1 and the square of the other root is the semitransverse axis then the focus of the hyperbola that lies on the positive x-axis is

If the chord of contact of a point P w.r.t. the hyperbola ‌

=1 passes through a fixed point (α,β), then the locus of P is a straight line. The sum of the squares of the intercepts made by this line on the coordinate axes is

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If the chord of contact of a point P w.r.t. the hyperbola ‌

=1 passes through a fixed point (α,β), then the locus of P is a straight line. The sum of the squares of the intercepts made by this line on the coordinate axes is

If d1,d2,d3 are the distances of the point (1,2,3) from the X,Y,Z - coordinate axes respectively then 2d22+d32+1=

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If d1,d2,d3 are the distances of the point (1,2,3) from the X,Y,Z - coordinate axes respectively then 2d22+d32+1=

If P=(3,12,4) and Q is a point on the line OP such that OQ=3 then the sum of all the coordinates of Q is

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If P=(3,12,4) and Q is a point on the line OP such that OQ=3 then the sum of all the coordinates of Q is

Let A=(−3,−2,7) and B=(3,1,−2). Let a plane perpendicular to the line segment AB divide AB in the ratio 2:1. Then the intercept made by the plane on y-axis is

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Let A=(−3,−2,7) and B=(3,1,−2). Let a plane perpendicular to the line segment AB divide AB in the ratio 2:1. Then the intercept made by the plane on y-axis is

xn exists and is finite, x1=2,xn+1=‌

a+bxn

b+cxn

‌∀n∈N and c>b>a>0 then

xn=

xn exists and is finite, x1=2,xn+1=‌

a+bxn

b+cxn

‌∀n∈N and c>b>a>0 then

xn=

The integral value of n for which

is a finite non zero real number is

©

The integral value of n for which

is a finite non zero real number is

=

=

, then the domain of ‌

, then the domain of ‌

If x=acos3θ,y=asin3θ, then ‌

is

If x=acos3θ,y=asin3θ, then ‌

is

The sum of the intercepts made by a tangent drawn to the curve (‌

)n=2 at (a,b) on the coordinate axes is

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The sum of the intercepts made by a tangent drawn to the curve (‌

)n=2 at (a,b) on the coordinate axes is

The angle between the curve 2y=e−x∕2 and the y-axis is tan−1(k) then k=

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The angle between the curve 2y=e−x∕2 and the y-axis is tan−1(k) then k=

Maximum area of the rectangle inscribed in a circle of radius 10cms is

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Maximum area of the rectangle inscribed in a circle of radius 10cms is

At x=0,f(x)=cos‌x−1+‌

At x=0,f(x)=cos‌x−1+‌

The minimum value of (1+‌

The minimum value of (1+‌

∫tan−1(1−x+x2)dx+∫tan−1(x)dx+∫tan−1(1−x)dx=

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∫tan−1(1−x+x2)dx+∫tan−1(x)dx+∫tan−1(1−x)dx=

‌log|f(x)|+C, then f(1∕2)=

‌log|f(x)|+C, then f(1∕2)=

=

=

∫(1+x)‌log(1+x2)‌d‌x=(x+‌

)‌log(1+x2)+g(x)+C, then g(x)=

©

∫(1+x)‌log(1+x2)‌d‌x=(x+‌

)‌log(1+x2)+g(x)+C, then g(x)=

=

=

]=

]=

]=

]=

The equation of the family of curves for which length of the sub normal at any point (x,y) is always a constant (k) is

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The equation of the family of curves for which length of the sub normal at any point (x,y) is always a constant (k) is

If the differential equation obtained by eliminating A,B from y=(sin−1x)2+Acos−1x+B is (a−x2)y′′−xy′=b, then ‌

b+a

b−a

=

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If the differential equation obtained by eliminating A,B from y=(sin−1x)2+Acos−1x+B is (a−x2)y′′−xy′=b, then ‌

=

[ML2T−2K−1] is the dimensional formula of the physical quantity

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[ML2T−2K−1] is the dimensional formula of the physical quantity

The correct position (x) - time (t) graph for a particle moving with negative acceleration is

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The correct position (x) - time (t) graph for a particle moving with negative acceleration is

A ball is thrown upward from the top of a building at angle of 30∘ to the horizontal with an initial speed of 15ms−1. If the ball hits the ground after 3s, then the height of building is
(acceleration due to gravity =10ms−2 )

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A ball is thrown upward from the top of a building at angle of 30∘ to the horizontal with an initial speed of 15ms−1. If the ball hits the ground after 3s, then the height of building is
(acceleration due to gravity =10ms−2 )

A particle moving in x−y plane starts from the origin at t=0 with an initial velocity (−

)ms−1 and undergoes an acceleration of (6

)ms−2. It's displacement after 2s is

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A particle moving in x−y plane starts from the origin at t=0 with an initial velocity (−

)ms−1 and undergoes an acceleration of (6

)ms−2. It's displacement after 2s is

An object requires 500N force to be pulled up on a 30∘ frictionless smooth inclined plane at a constant speed. The weight of the object is

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An object requires 500N force to be pulled up on a 30∘ frictionless smooth inclined plane at a constant speed. The weight of the object is

A block of mass 8kg is suspended by a rope of length 3m from the ceiling. A force of 40N is applied horizontally to the block. Then the angle that the rope makes with the vertical in equilibrium is (acceleration due to gravity =10ms−2, neglect the mass of the rope)

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A block of mass 8kg is suspended by a rope of length 3m from the ceiling. A force of 40N is applied horizontally to the block. Then the angle that the rope makes with the vertical in equilibrium is (acceleration due to gravity =10ms−2, neglect the mass of the rope)

A block of mass 2kg is pulled at a constant speed with a taut rope along a frictionless plane that is inclined at 30∘. Then the work done by the tension in the rope in pulling it a distance 4m along the inclined plane in joule is
(acceleration due to gravity =10ms−2 )

©

A block of mass 2kg is pulled at a constant speed with a taut rope along a frictionless plane that is inclined at 30∘. Then the work done by the tension in the rope in pulling it a distance 4m along the inclined plane in joule is
(acceleration due to gravity =10ms−2 )

A 1kg box placed at the origin starts sliding along x-axis under the action of a force

. Its acceleration as a function of x is given by a(x)=β.x where β=5s−2. The work done by

→

F

in moving the box from x=2cm to x=5cm in joule is

©

A 1kg box placed at the origin starts sliding along x-axis under the action of a force

. Its acceleration as a function of x is given by a(x)=β.x where β=5s−2. The work done by

→

F

in moving the box from x=2cm to x=5cm in joule is

A body is located at (1.1.1)m and experiences a force of 2N in the direction

. The torque acting on the body in N−m is

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A body is located at (1.1.1)m and experiences a force of 2N in the direction

. The torque acting on the body in N−m is

The moment of inertia of a thin uniform rectangular plate of mass ' m ', having length ' a ' and width ' b ' about an axis perpendicular to the plane of the plate and passing through one of its vertices is

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The moment of inertia of a thin uniform rectangular plate of mass ' m ', having length ' a ' and width ' b ' about an axis perpendicular to the plane of the plate and passing through one of its vertices is

A block of 10kg mass is connected to the top of a frictionless inclined plane of inclination 45∘ by a spring of negligible mass, unstretched length 0.8m and spring constant 100√2Nm−1. Then the distance of the block from the top along the incline in the equilibrium position is
(acceleration due to gravity =10ms−2 )

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A block of 10kg mass is connected to the top of a frictionless inclined plane of inclination 45∘ by a spring of negligible mass, unstretched length 0.8m and spring constant 100√2Nm−1. Then the distance of the block from the top along the incline in the equilibrium position is
(acceleration due to gravity =10ms−2 )

A solid sphere of mass M and radius R is attached to a spring of negligible mass kept on a horizontal plane such that it can roll without slipping. The sphere is made to execute SHM by stretching through a distance and released, then the time period of such oscillation is (K= spring constant

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A solid sphere of mass M and radius R is attached to a spring of negligible mass kept on a horizontal plane such that it can roll without slipping. The sphere is made to execute SHM by stretching through a distance and released, then the time period of such oscillation is (K= spring constant

The escape speed of an object on the surface of the earth is V. If the object is thrown out with speed 4V from the surface of the earth. the speed of the object far away from the earth is

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The escape speed of an object on the surface of the earth is V. If the object is thrown out with speed 4V from the surface of the earth. the speed of the object far away from the earth is

The work done in stretching a spring of natural length 25cm and spring constant 50Nm−1 from 50cm to 60cm is

©

The work done in stretching a spring of natural length 25cm and spring constant 50Nm−1 from 50cm to 60cm is

The surface tension and vapour pressure of a liquid at 25∘C are 8×10−2Nm−1 and 2.5×103Pa respectively. The radius of the smallest spherical water droplet which can form without evaporating at 25∘C is

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The surface tension and vapour pressure of a liquid at 25∘C are 8×10−2Nm−1 and 2.5×103Pa respectively. The radius of the smallest spherical water droplet which can form without evaporating at 25∘C is

A body of volume V floats on water with ‌

1

3

of its volume above the surface. The volume of the object above the surface when floating on a liquid of specific gravity 1.5 is

©

A body of volume V floats on water with ‌

1

3

of its volume above the surface. The volume of the object above the surface when floating on a liquid of specific gravity 1.5 is

The change in density of mercury, when it is heated from 10∘C to 60∘C is
(The coefficient of volume expansion of mercury is 18.2×10−5K−1 )

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The change in density of mercury, when it is heated from 10∘C to 60∘C is
(The coefficient of volume expansion of mercury is 18.2×10−5K−1 )

Temperature of a cold reservoir of a Carnot engine is 127∘C. If the efficiency of the Carnot engine is 20%, then the temperature of the hot reservoir is

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Temperature of a cold reservoir of a Carnot engine is 127∘C. If the efficiency of the Carnot engine is 20%, then the temperature of the hot reservoir is

A gas in a closed container undergoes the cycle ABCA as shown in the figure. The net heat absorbed by the gas after it has completed 10 cycles is

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A gas in a closed container undergoes the cycle ABCA as shown in the figure. The net heat absorbed by the gas after it has completed 10 cycles is

Two boxes are at the same temperature. The first box contains gas with molecular mass m1 and rms speed v1. The second box contains gas with molecular mass m2 and average speed v2. If v1=1.5v2, then ‌

m1

m2

is

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Two boxes are at the same temperature. The first box contains gas with molecular mass m1 and rms speed v1. The second box contains gas with molecular mass m2 and average speed v2. If v1=1.5v2, then ‌

is

An open air pipe of length 80cm has the second harmonic frequency equal to the fundamental frequency of a closed organ air pipe. The length of the closed pipe is

©

An open air pipe of length 80cm has the second harmonic frequency equal to the fundamental frequency of a closed organ air pipe. The length of the closed pipe is

Two lenses of powers −1.75D and +2.25D are placed in contact. The focal length of the combination is

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Two lenses of powers −1.75D and +2.25D are placed in contact. The focal length of the combination is

Assertion [A] : For light diverging from a point source, the intensity at the wavefront does not depend on the distance.
Reason [R] : In a diverging beam of light from a point source, spherical wavefront is observed.

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Assertion [A] : For light diverging from a point source, the intensity at the wavefront does not depend on the distance.
Reason [R] : In a diverging beam of light from a point source, spherical wavefront is observed.

A large charged plane having surface charge density 4.9×10−6Cm−2 lies in the x−y plane. A circular plane of radius of 1cm is lying completely in the region where x,y and z coordinates are all positive. When the plane's normal makes an angle 60∘ with the z-axis, the electric flux through the circular plane is (‌

A large charged plane having surface charge density 4.9×10−6Cm−2 lies in the x−y plane. A circular plane of radius of 1cm is lying completely in the region where x,y and z coordinates are all positive. When the plane's normal makes an angle 60∘ with the z-axis, the electric flux through the circular plane is (‌

A parallel plate capacitor with air between the plates has capacitance 12µF. If the distance between the plates is doubled and the space between the plates filled with a substance of dielectric constant 4. the capacitance of the capacitor will be is

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A parallel plate capacitor with air between the plates has capacitance 12µF. If the distance between the plates is doubled and the space between the plates filled with a substance of dielectric constant 4. the capacitance of the capacitor will be is

In the figure, the value of Q so that the electrostatic potential energy of the system becomes zero is

©

In the figure, the value of Q so that the electrostatic potential energy of the system becomes zero is

A bar magnet of length 16cm is placed in the magnetic meridian with the N - pole pointing towards geographical north. Two neutral points separated by 12cm are obtained on the equatorial line of the magnet. If the horizontal component of earth's magnetic field =3.2×10−5T, then the pole strength of magnet is

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A bar magnet of length 16cm is placed in the magnetic meridian with the N - pole pointing towards geographical north. Two neutral points separated by 12cm are obtained on the equatorial line of the magnet. If the horizontal component of earth's magnetic field =3.2×10−5T, then the pole strength of magnet is

The power consumed when 10V voltage is applied to a series combination of 10 resistors of each 1Ω is Ps and the power consumed when the same 10V is applied to the parallel combination of these 10 resistors is Pp. The value of ‌

Ps

Pp

is

©

The power consumed when 10V voltage is applied to a series combination of 10 resistors of each 1Ω is Ps and the power consumed when the same 10V is applied to the parallel combination of these 10 resistors is Pp. The value of ‌

is

A closely wound solenoid of length 1m has 5 layers of 500 turns each. If the magnitude of magnetic field inside the solenoid near its centre is 4.4mT, the current carried is

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A closely wound solenoid of length 1m has 5 layers of 500 turns each. If the magnitude of magnetic field inside the solenoid near its centre is 4.4mT, the current carried is

Two long wires carrying current is 8A and 6A along x axes and y axes respectively. The magnetic field at the point (2

) is (Take µ0=4π×10−7 SI unit)

©

Two long wires carrying current is 8A and 6A along x axes and y axes respectively. The magnetic field at the point (2

) is (Take µ0=4π×10−7 SI unit)

In a plane electromagnetic wave, the maximum value of the electric field component is 4.4Vm−1. The intensity of the wave is nearly

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In a plane electromagnetic wave, the maximum value of the electric field component is 4.4Vm−1. The intensity of the wave is nearly

A circular coil of area 0.01m2 and 40 turns is rotated about its vertical diameter with an angular speed of 50rads−1 in a uniform horizontal magnetic field 0.05T. If the average power loss due to joule heating is 25mW, then the closed loop resistance of the coil is

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A circular coil of area 0.01m2 and 40 turns is rotated about its vertical diameter with an angular speed of 50rads−1 in a uniform horizontal magnetic field 0.05T. If the average power loss due to joule heating is 25mW, then the closed loop resistance of the coil is

Capacitive reactance of a capacitor in an AC circuit is 6kΩ. If the same capacitor is connected to an AC source of double the frequency, the capacitive reactance will become

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Capacitive reactance of a capacitor in an AC circuit is 6kΩ. If the same capacitor is connected to an AC source of double the frequency, the capacitive reactance will become

If the amplitude of the magnetic field in a travelling plane electromagnetic wave is 2.2×10−4T, then the intensity of the wave is nearly

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If the amplitude of the magnetic field in a travelling plane electromagnetic wave is 2.2×10−4T, then the intensity of the wave is nearly

A monochromatic light is incident on a single slit of width 0.014mm. The angular position of the second bright line observed is 2.81∘. Then the wavelength of the incident light is [sin(2.81∘)=0.049072]

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A monochromatic light is incident on a single slit of width 0.014mm. The angular position of the second bright line observed is 2.81∘. Then the wavelength of the incident light is [sin(2.81∘)=0.049072]

Two light waves of wavelengths 600nm and 200nm incident on a metal surface. The maximum velocity of photoelectrons produced due to one wavelength is ‌

1

3

of the maximum velocity of the photoelectrons produced due to the other wavelength, then the work function of the metal is

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Two light waves of wavelengths 600nm and 200nm incident on a metal surface. The maximum velocity of photoelectrons produced due to one wavelength is ‌

1

3

of the maximum velocity of the photoelectrons produced due to the other wavelength, then the work function of the metal is

As the quantum number increases, the difference in energy between consecutive energy levels

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As the quantum number increases, the difference in energy between consecutive energy levels

A nucleus has mass number A1 and volume V1. Another nucleus has mass number A2 and volume V2. If the relation between the mass numbers is A2=3A1, then ‌

V1

V2

=

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A nucleus has mass number A1 and volume V1. Another nucleus has mass number A2 and volume V2. If the relation between the mass numbers is A2=3A1, then ‌

=

In a CE transistor amplifier, the signal voltage across the collector resistance is 2.5V. The input signal voltage is 0.02V. If the base and collector resistances are 1.5kΩ and 2.5kΩ, then the current amplification factor is

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In a CE transistor amplifier, the signal voltage across the collector resistance is 2.5V. The input signal voltage is 0.02V. If the base and collector resistances are 1.5kΩ and 2.5kΩ, then the current amplification factor is

The amplitude of the side bands of the modulated signal if the carrier signal and message signal amplitudes are 25V and 5V respectively is

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The amplitude of the side bands of the modulated signal if the carrier signal and message signal amplitudes are 25V and 5V respectively is

The sum of electrons present in all sub shells of an atom with m5 value of +‌

1

2

for n=4 and m5 value of −‌

The sum of electrons present in all sub shells of an atom with m5 value of +‌

1

2

for n=4 and m5 value of −‌

The radius of the first orbit of Li2+ is X

∘

A

. The radius of the third orbit of He+ (in A ) is

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The radius of the first orbit of Li2+ is X

∘

A

. The radius of the third orbit of He+ (in A ) is

The electronic configuration which is associated with highest first ionisation enthalpy is:

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The electronic configuration which is associated with highest first ionisation enthalpy is:

Which of the following element has two electrons in Q shell in its ground state?

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Which of the following element has two electrons in Q shell in its ground state?

If the bond order of CO is x, the bond order of O22− ion is

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If the bond order of CO is x, the bond order of O22− ion is

As per molecular orbital theory the pair of molecules which do not exist is

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As per molecular orbital theory the pair of molecules which do not exist is

What is the density of one mole of He (molar mass =4gmol−1 ) at 300K and a pressure of 0.82atm ? (R=0.082L atm mol−1K−1)

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What is the density of one mole of He (molar mass =4gmol−1 ) at 300K and a pressure of 0.82atm ? (R=0.082L atm mol−1K−1)

Observe the following reaction I2+10HNO3→2HIO3+10NO2+4H2O
The equivalent wt. of HNO3 is (molar mass of HNO3=M )

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Observe the following reaction I2+10HNO3→2HIO3+10NO2+4H2O
The equivalent wt. of HNO3 is (molar mass of HNO3=M )

If 5 ampers of current is passed for 193 seconds through a solution containing Copper salt, 0.32g of copper is deposited. What is the oxidation state of the Cu in the salt?

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If 5 ampers of current is passed for 193 seconds through a solution containing Copper salt, 0.32g of copper is deposited. What is the oxidation state of the Cu in the salt?

Which of the followings is not a state function?

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Which of the followings is not a state function?

Calculate ∆rH(kJmol−1) of the following reaction
C2H5OH(l)+

7

2

O2(g)→2CO2(g)+3H2O(1)

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Calculate ∆rH(kJmol−1) of the following reaction
C2H5OH(l)+

7

2

O2(g)→2CO2(g)+3H2O(1)

Q.132 Correct

Q.132 In-correct

Q.132 Unattempt

KP/KC for the reaction at
T(K) is CO(g)+‌

KP/KC for the reaction at
T(K) is CO(g)+‌

Statement A :- pH of buffer increases with increasing temperature.
Statement B:- The value of KW of water decreases with decreasing temperature.

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Statement A :- pH of buffer increases with increasing temperature.
Statement B:- The value of KW of water decreases with decreasing temperature.

The number of hydrogen molecules possible from its isotopes is

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The number of hydrogen molecules possible from its isotopes is

The nitrate of which metal does not give nitrogen dioxide on strong reacting?

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The nitrate of which metal does not give nitrogen dioxide on strong reacting?

Observe the following reactions
Dimer

linear monomer.
What is M?

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Observe the following reactions
Dimer

linear monomer.
What is M?

The structures of BCl3 and BCl3⋅NH3, respectively are

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The structures of BCl3 and BCl3⋅NH3, respectively are

Among the given group 14 elements, the one with highest density is

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Among the given group 14 elements, the one with highest density is

The number of possible aromatic benzenoid isomers for C6H4Cl2 are

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The number of possible aromatic benzenoid isomers for C6H4Cl2 are

Identify the starting compound ' P ' in the following reaction.
P

Na‌/‌dry ether

─────▶

H3C)2‌CHCH2‌CH2‌CH(CH3)2

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Identify the starting compound ' P ' in the following reaction.
P

Na‌/‌dry ether

─────▶

H3C)2‌CHCH2‌CH2‌CH(CH3)2

The crystal structure of an element has fcc lattice. If the edge length of the crystal is 4‌∘A, what is the atomic weight (in gmol−1 ) of the element, if the density of the

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The crystal structure of an element has fcc lattice. If the edge length of the crystal is 4‌∘A, what is the atomic weight (in gmol−1 ) of the element, if the density of the

Match List I with List II

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Match List I with List II

Assertion (A): For an endothermic dissolution process, increase in temperature increases the solubility in a nearly saturated solution.
Reason (R): In saturated solution dynamic equilibrium exists between dissolved solute and undissolved solute.

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Assertion (A): For an endothermic dissolution process, increase in temperature increases the solubility in a nearly saturated solution.
Reason (R): In saturated solution dynamic equilibrium exists between dissolved solute and undissolved solute.

At T(K), the partial pressure of dissolved oxygen in 1L water is 1 bar. The concentration of oxygen is ppm is ( KH of O2 at T(K) is 50 kbar)

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At T(K), the partial pressure of dissolved oxygen in 1L water is 1 bar. The concentration of oxygen is ppm is ( KH of O2 at T(K) is 50 kbar)

The cell potential for the following cell notation is approximately
M(s)|M3+(aq,0.01M)|N2+(aq,0.1M)|N(s)
EM3+/M0=0.6V‌ and ‌EN2+/N0=0.1V

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The cell potential for the following cell notation is approximately
M(s)|M3+(aq,0.01M)|N2+(aq,0.1M)|N(s)
EM3+/M0=0.6V‌ and ‌EN2+/N0=0.1V

In the reaction, A→ products, If the concentration of the reactant is doubled, rate of the reaction remains unchanged. The order of the reaction with respect to A is

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In the reaction, A→ products, If the concentration of the reactant is doubled, rate of the reaction remains unchanged. The order of the reaction with respect to A is

The correct order of adsorption of the following gases on the surface of charcoal is

The correct order of adsorption of the following gases on the surface of charcoal is

Relatively which conditions favours the faster Brownian movement of colloidal particles in solution?

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Relatively which conditions favours the faster Brownian movement of colloidal particles in solution?

Small quantities of NO and HNO3 are formed as impurities, when N2 is prepared from NH4Cl (aq) and NaNO2(aq ), these impurities can be removed by passing the N2 gas through which of the following?

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Small quantities of NO and HNO3 are formed as impurities, when N2 is prepared from NH4Cl (aq) and NaNO2(aq ), these impurities can be removed by passing the N2 gas through which of the following?

When KI is reacted with O3 under aqueous condition the product formed is

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When KI is reacted with O3 under aqueous condition the product formed is

Assertion (A): Transition elements have higher enthalpies of atomization.
Reason (R): Large number of unpaired electrons present in transition elements facilitate strong interatomic interaction and strong bonding between atoms.

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Assertion (A): Transition elements have higher enthalpies of atomization.
Reason (R): Large number of unpaired electrons present in transition elements facilitate strong interatomic interaction and strong bonding between atoms.

According to valence bond theory the metal atom or ion can make use of which of the following orbitals to yield hybrid orbitals, that can form bonds with ligands.

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According to valence bond theory the metal atom or ion can make use of which of the following orbitals to yield hybrid orbitals, that can form bonds with ligands.

If sucrose is boiled with dilute. HCl in alcoholic solution the ratio in which glucose and fructose are formed is

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If sucrose is boiled with dilute. HCl in alcoholic solution the ratio in which glucose and fructose are formed is

Which among the following is most reactive via SN2 mechanism

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Which among the following is most reactive via SN2 mechanism

The product(s) formed when toluene is reacted with Cl2 in presence of Fe in dark is/are

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The product(s) formed when toluene is reacted with Cl2 in presence of Fe in dark is/are

The major product formed in the following reaction sequence is

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The major product formed in the following reaction sequence is

Arrange the following in increasing order of their acidic strength

Match the name of acid from list - I with source from which is derived.

Choose the correct order of basicity of the following

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