AP EAPCET - 06 July 2022

3	4
5	6

] and B=[

x	0
0	y

],x,y∈N, then

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If A=[

3	4
5	6

] and B=[

x	0
0	y

If A and B are symmetric matrices of same order such that AB+BA=X and AB−BA=Y‌, then ‌(XY)T=

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If A and B are symmetric matrices of same order such that AB+BA=X and AB−BA=Y‌, then ‌(XY)T=

If the ranks of the matrices A=[

1	0	1
2	1	2
1	0	−1

] and B=[

1	2	3	4
2	4	6	−8

] are r1 and r2 respectively then r1−r2=

©

If the ranks of the matrices A=[

1	0	1
2	1	2
1	0	−1

] and B=[

1	2	3	4
2	4	6	−8

] are r1 and r2 respectively then r1−r2=

1	1	3
1	7	9
2	3	7

] then Tr(A2−A)=

©

If A=[

1	1	3
1	7	9
2	3	7

)3, then the true statement among the following is

)3, then the true statement among the following is

The number of complex numbers z satisfying z=iz2 is

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The number of complex numbers z satisfying z=iz2 is

The number of distinct solutions of the equation x11−x7+x4−1=0 is

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The number of distinct solutions of the equation x11−x7+x4−1=0 is

z=cos‌θ+i‌sin‌θ⟹zr+(z)r=

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z=cos‌θ+i‌sin‌θ⟹zr+(z)r=

If f(x)=ax2+bx+c satisfies f(1)+2f(2)=0 and 2f(1)+f(2)=0, then 3a+b=

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If f(x)=ax2+bx+c satisfies f(1)+2f(2)=0 and 2f(1)+f(2)=0, then 3a+b=

The largest interval containing x for which x12−x9+x4−x+1>0 is

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The largest interval containing x for which x12−x9+x4−x+1>0 is

Let an,an−1,...,a1,a0∈mathbb‌C and f(x)=anxn+an−1xn−1+...+a1x+a0 is a polynomial. If the polynomial f(x) is monic then

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Let an,an−1,...,a1,a0∈mathbb‌C and f(x)=anxn+an−1xn−1+...+a1x+a0 is a polynomial. If the polynomial f(x) is monic then

The number of solutions of the equations
x+y+z=12;x2+y2+z2=50;x3+y3+z3=216 is

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The number of solutions of the equations
x+y+z=12;x2+y2+z2=50;x3+y3+z3=216 is

Number of four digit numbers that can be formed using all the digits except zero such that every number has exactly 2 distinct digits in it is

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Number of four digit numbers that can be formed using all the digits except zero such that every number has exactly 2 distinct digits in it is

How many words, with or without meaning, each of 2 vowels and 3 consonants can be formed from the letters of the word DAUGHTER?

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How many words, with or without meaning, each of 2 vowels and 3 consonants can be formed from the letters of the word DAUGHTER?

The number of ways of distributing 500 dissimilar boxes equally among ' 50 ' persons is

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The number of ways of distributing 500 dissimilar boxes equally among ' 50 ' persons is

If we resolve the rational fraction ‌

1

(1−2x)2(1−3x)

in to partial fractions of the form ‌

, then what is the min{A,B,C}=

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If we resolve the rational fraction ‌

1

(1−2x)2(1−3x)

in to partial fractions of the form ‌

, then what is the min{A,B,C}=

Let a and b be non-negative real numbers. If sin‌x+a‌cos‌x=b, then |a‌sin‌x−cos‌x|=

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Let a and b be non-negative real numbers. If sin‌x+a‌cos‌x=b, then |a‌sin‌x−cos‌x|=

√sin4x+4cos2x−√cos4x+4sin2x=

©

√sin4x+4cos2x−√cos4x+4sin2x=

=

=

The value of cos4x is

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The value of cos4x is

Let x,y,z be real numbers and x≥y≥z≥‌

, then the minimum value of cos‌x⋅sin‌y⋅cos‌z is

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Let x,y,z be real numbers and x≥y≥z≥‌

, then the minimum value of cos‌x⋅sin‌y⋅cos‌z is

For any real number n∈R,(cosh‌x+sinh‌x)n=

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For any real number n∈R,(cosh‌x+sinh‌x)n=

In the triangle ABC, if a=7,b=6 and A=120∘, then the approximate value of B is

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In the triangle ABC, if a=7,b=6 and A=120∘, then the approximate value of B is

In any triangle ABC,a(b‌cos‌C−c‌cos‌B)=

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In any triangle ABC,a(b‌cos‌C−c‌cos‌B)=

The length of the sides of a triangle are 13,14‌&‌15. If R and r respectively denote circumradius and inradius of this triangle, then 8R−r=

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The length of the sides of a triangle are 13,14‌&‌15. If R and r respectively denote circumradius and inradius of this triangle, then 8R−r=

If a=(p,−2,5) and b=(1,q,−3) are collinear vectors then

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If a=(p,−2,5) and b=(1,q,−3) are collinear vectors then

If origin is the ortho-center of an equilateral triangle whose vertices are a,b,c then

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If origin is the ortho-center of an equilateral triangle whose vertices are a,b,c then

Let a=2i+3j+k,b=4i+j,c=i−3j−7k. If r=xi+yj+zk,r⋅a=9,rb=7,r⋅c=6 then (x,y,z)=

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Let a=2i+3j+k,b=4i+j,c=i−3j−7k. If r=xi+yj+zk,r⋅a=9,rb=7,r⋅c=6 then (x,y,z)=

If ABCD is a cyclic quadrilateral with R as the radius of the circumcircle and (AB)2+(CD)2=4R2 then

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If ABCD is a cyclic quadrilateral with R as the radius of the circumcircle and (AB)2+(CD)2=4R2 then

If |a|=13,|b|=5 and a⋅b=60 then |a×b|=

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If |a|=13,|b|=5 and a⋅b=60 then |a×b|=

If the total number of observations is 20,∑xi=1000 and ∑xi2=84000, then the variance of the distribution is

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If the total number of observations is 20,∑xi=1000 and ∑xi2=84000, then the variance of the distribution is

A bag contains 2 red, 3 green and 2 blue balls. Two balls are drawn at random. Then, the probability that none of the balls drawn is blue is

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A bag contains 2 red, 3 green and 2 blue balls. Two balls are drawn at random. Then, the probability that none of the balls drawn is blue is

Two persons P and Q are considering to apply for a job. The probability that P applies for the job is 1/4, the probability that P applies for the job given that Q applies for the job is 1/2, and the probability that Q applies for the job given that P applies for the job is 1/3. Then the probability that P does not apply for the job given that Q does not apply for the job is

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Two persons P and Q are considering to apply for a job. The probability that P applies for the job is 1/4, the probability that P applies for the job given that Q applies for the job is 1/2, and the probability that Q applies for the job given that P applies for the job is 1/3. Then the probability that P does not apply for the job given that Q does not apply for the job is

If E and F are events such that P(F)=0.7 and P(E∩F)=0.2, then P(E∣F) is

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If E and F are events such that P(F)=0.7 and P(E∩F)=0.2, then P(E∣F) is

A bag contains 21 toys numbered 1 to 21 . A toy is drawn and then another toy is drawn without replacement. The probability that both toys will show even numbers is

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A bag contains 21 toys numbered 1 to 21 . A toy is drawn and then another toy is drawn without replacement. The probability that both toys will show even numbers is

The random variable X has Binomial distribution B(20,0.4). Then 5−5P(X≥2)=

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The random variable X has Binomial distribution B(20,0.4). Then 5−5P(X≥2)=

A multiple choice test consists of 5 questions, each question having 4 responses. There is only one correct response and the remaining 3 are incorrect responses. If a candidate attempts all the 5 questions then the probability that he answers at least 3 questions incorrectly is

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A multiple choice test consists of 5 questions, each question having 4 responses. There is only one correct response and the remaining 3 are incorrect responses. If a candidate attempts all the 5 questions then the probability that he answers at least 3 questions incorrectly is

A point P(x,y) is such that its distances from (−1,0) and (0,2) are in a ratio of √2:1. Then the locus of P is

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A point P(x,y) is such that its distances from (−1,0) and (0,2) are in a ratio of √2:1. Then the locus of P is

If a point (α,β) of 3x+y=0 and (3,4) lie on the opposite sides of 3x−4y−8=0 then which of the following is correct?

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If a point (α,β) of 3x+y=0 and (3,4) lie on the opposite sides of 3x−4y−8=0 then which of the following is correct?

If a particle moving along x−2y−3=0 gets reflected in a perpendicular direction upon hitting the line 3x−2y−5=0. then the line of the movement of the particle after reflection is

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If a particle moving along x−2y−3=0 gets reflected in a perpendicular direction upon hitting the line 3x−2y−5=0. then the line of the movement of the particle after reflection is

The family of lines, forming an isosceles triangle with the lines 3x−4y−2=0 and 12x−5y+6=0, is

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The family of lines, forming an isosceles triangle with the lines 3x−4y−2=0 and 12x−5y+6=0, is

The straight line passing through (−1,1) and remaining parallel to the line common to the pairs of lines provided by 6x2−xy−12y2=0 and 15x2+14xy−8y2=0, is

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The straight line passing through (−1,1) and remaining parallel to the line common to the pairs of lines provided by 6x2−xy−12y2=0 and 15x2+14xy−8y2=0, is

The midpoint of the diagonal of a rectangle formed by x2+5x−6=0 and y2−8y−20=0 is

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The midpoint of the diagonal of a rectangle formed by x2+5x−6=0 and y2−8y−20=0 is

Suppose two tangents PA and PB are drawn to the circle centered at C(1,2) from the point P(16,7). If the area of the quadrilateral PACB is 75 square units, then the radius of the circle is

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Suppose two tangents PA and PB are drawn to the circle centered at C(1,2) from the point P(16,7). If the area of the quadrilateral PACB is 75 square units, then the radius of the circle is

The center of the circle that passes through the point (0,1) and touches the curve y=x2 at (2,4) is

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The center of the circle that passes through the point (0,1) and touches the curve y=x2 at (2,4) is

The slope of the normal to the circle x2+y2+2gx+2fy+c=0 at (x1,y1) is

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The slope of the normal to the circle x2+y2+2gx+2fy+c=0 at (x1,y1) is

The circle possessing y-axis as its tangent at (0,2) and passing through (−1,0), also passes through

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The circle possessing y-axis as its tangent at (0,2) and passing through (−1,0), also passes through

Suppose the tangents drawn to the circle x2+y2−6x−4y−11=0 from P(1,8) touch the circle at A and B. Then the centre of the circle passing through P,A and B is

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Suppose the tangents drawn to the circle x2+y2−6x−4y−11=0 from P(1,8) touch the circle at A and B. Then the centre of the circle passing through P,A and B is

The parabola with focus at (4,−3) and vertex at (4,−1) is

©

The parabola with focus at (4,−3) and vertex at (4,−1) is

If the latus rectum of an ellipse is equal to half of minor axis, then its eccentricity is

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If the latus rectum of an ellipse is equal to half of minor axis, then its eccentricity is

Let L(x1,4) be the end of the Latus rectum of the hyperbola ‌

=1 lying in the first quadrant and let S(8,y1) be the focus of the given hyperbola. Then the length of its transverse axis is

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Let L(x1,4) be the end of the Latus rectum of the hyperbola ‌

=1 lying in the first quadrant and let S(8,y1) be the focus of the given hyperbola. Then the length of its transverse axis is

If the line 3x−my+5=0 is a tangent to the hyperbola 3x2−4y2=300 then the square of the Y-intercept made by this tangent line is

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If the line 3x−my+5=0 is a tangent to the hyperbola 3x2−4y2=300 then the square of the Y-intercept made by this tangent line is

If the vertices of a triangle ABC are A(1,2,3)B(h,−3,0) and C(−4,k,−1) and the centroid of the triangle is (5,−1,‌

2

3

) then triangle ABC is

©

If the vertices of a triangle ABC are A(1,2,3)B(h,−3,0) and C(−4,k,−1) and the centroid of the triangle is (5,−1,‌

2

3

) then triangle ABC is

If a,b,c are the direction ratios of a line L and ℓ,m,n are its direction cosines, then ‌

a2

b2+c2

=

©

If a,b,c are the direction ratios of a line L and ℓ,m,n are its direction cosines, then ‌

=

If a,bc are the intercepts made by the plane passing through the point (1,2,3) parallel to the plane 3x+4y−5z=0 on X,Y,Z− axes respectively then 3a+b+5c=

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If a,bc are the intercepts made by the plane passing through the point (1,2,3) parallel to the plane 3x+4y−5z=0 on X,Y,Z− axes respectively then 3a+b+5c=

=

=

)n=

)n=

=

=

is continuous at x=π∕2, then f(π∕2)=

is continuous at x=π∕2, then f(π∕2)=

sin4α=2sin2α⋅cos2α, then ‌

=

sin4α=2sin2α⋅cos2α, then ‌

=

m is the slope of a tangent to the curve ey=1+x2 at x=1 then m=

©

m is the slope of a tangent to the curve ey=1+x2 at x=1 then m=

V is the set of points on the curve y3−3xy+2=0 where the tangent is vertical then V=

©

V is the set of points on the curve y3−3xy+2=0 where the tangent is vertical then V=

The equation of tangent of the curve y=√9−2x2 at the point where the ordinate and abscissa are equal is

©

The equation of tangent of the curve y=√9−2x2 at the point where the ordinate and abscissa are equal is

The maximum area of a right angled triangle with hypotenuse h is

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The maximum area of a right angled triangle with hypotenuse h is

The value of " a ' for which the function f(x)=a‌sin‌x+‌

1

3

‌sin‌3‌x has an extremum value at x=‌

π

3

is

©

The value of " a ' for which the function f(x)=a‌sin‌x+‌

1

3

‌sin‌3‌x has an extremum value at x=‌

is

If ∫ex(f(x)−f′(x))=g(x)+C, then ∫exf′(x)dx=

©

If ∫ex(f(x)−f′(x))=g(x)+C, then ∫exf′(x)dx=

sin3x(tan−1(sec‌x+cos‌x))−1

(cos4x+3cos2x+1)

dx=f(x)+C, then ef(x)=

©

If ∫‌

sin3x(tan−1(sec‌x+cos‌x))−1

(cos4x+3cos2x+1)

dx=f(x)+C, then ef(x)=

(sin‌x+cos‌x+√2√sin‌2‌x)2

dx=

©

∫‌

1

(sin‌x+cos‌x+√2√sin‌2‌x)2

dx=

(3cos2x+2‌sin‌x+sin3x−3)dx=

(3cos2x+2‌sin‌x+sin3x−3)dx=

If [.] represents greatest integer function, then ‌

If [.] represents greatest integer function, then ‌

=z, reduces the differential equation ‌

=0 to a differential equation whose solution is z=

=z, reduces the differential equation ‌

=0 to a differential equation whose solution is z=

p and q are positive integers and n<r<m. If the order and degree of the differential equation (‌

are respectively 4 and 3 , then

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p and q are positive integers and n<r<m. If the order and degree of the differential equation (‌

are respectively 4 and 3 , then

The solution of (1+y2)dx−xydy=0,y(1)=0 represents a conic. Its eccentricity is

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The solution of (1+y2)dx−xydy=0,y(1)=0 represents a conic. Its eccentricity is

Which of the following is the fundamental force in nature?

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Which of the following is the fundamental force in nature?

A particle moves along a straight line along the x - axis. Its position ( x ) versus time (t) graph is shown in the figure [x in meters and t in seconds]. It's average speed during this motion is

©

A particle moves along a straight line along the x - axis. Its position ( x ) versus time (t) graph is shown in the figure [x in meters and t in seconds]. It's average speed during this motion is

In a sports competition, a javelin is thrown at an angle 45∘, which recorded a range of 90m. The maximum height reached by the javelin is

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In a sports competition, a javelin is thrown at an angle 45∘, which recorded a range of 90m. The maximum height reached by the javelin is

The equation for the trajectory of a projectile is y=(‌

)m. The velocity of projection of the projectile is
(Acceleration due to gravity =10ms−2 )

©

The equation for the trajectory of a projectile is y=(‌

)m. The velocity of projection of the projectile is
(Acceleration due to gravity =10ms−2 )

The coefficient of friction between object and substance, if we need to move an object of weight 150N on a horizontal surface with a force of 75N, is

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The coefficient of friction between object and substance, if we need to move an object of weight 150N on a horizontal surface with a force of 75N, is

The coefficient of static friction between the road and tyres of a car is 0.4. The maximum permissible speed of the car is 10ms−1 on curved unbanked road. Then the maximum radius of curvature of the road is
(acceleration due to gravity =10ms−2 )

©

The coefficient of static friction between the road and tyres of a car is 0.4. The maximum permissible speed of the car is 10ms−1 on curved unbanked road. Then the maximum radius of curvature of the road is
(acceleration due to gravity =10ms−2 )

A body of mass 0.6kg is moving along a circular path of radius 1m. If the body moves with ‌

900

π

revolutions per minute, its kinetic energy is

©

A body of mass 0.6kg is moving along a circular path of radius 1m. If the body moves with ‌

900

π

revolutions per minute, its kinetic energy is

A force of 10N acting at an angle on a particle produces a displacement of (3

)‌m. Due to this force, if the kinetic energy of the particle is decreased by 25 joule, then the angle between the force and the displacement is

©

A force of 10N acting at an angle on a particle produces a displacement of (3

)‌m. Due to this force, if the kinetic energy of the particle is decreased by 25 joule, then the angle between the force and the displacement is

Two position vectors are given by

=(1,−1,1). The unit vector in the direction of

Two position vectors are given by

=(1,−1,1). The unit vector in the direction of

A fan is rotating with an angular speed 300rpm. The fan is switched off, and it takes 80 s to come to rest. Assuming constant angular deceleration, the number of revolutions made by the fan before it comes to rest is

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A fan is rotating with an angular speed 300rpm. The fan is switched off, and it takes 80 s to come to rest. Assuming constant angular deceleration, the number of revolutions made by the fan before it comes to rest is

A point mass of 400g executes S.H.M. under a force F=−(10Nm−1)x. If it crosses the centre of oscillation with a speed of 10ms−1, the amplitude of motion is

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A point mass of 400g executes S.H.M. under a force F=−(10Nm−1)x. If it crosses the centre of oscillation with a speed of 10ms−1, the amplitude of motion is

A particle executes simple harmonic motion with a time period 0.6s and amplitude 10cm. Then the mean velocity of the particle over the time interval during which it travels a distance 5cm starting from the equilibrium position.

©

A particle executes simple harmonic motion with a time period 0.6s and amplitude 10cm. Then the mean velocity of the particle over the time interval during which it travels a distance 5cm starting from the equilibrium position.

The orbital period of a geostationary satellite is

©

The orbital period of a geostationary satellite is

The elastic limit of a metal is ‌

400

π

MPa. If a rod of this metal is to support a 484N load without exceeding its elastic limit, the minimum diameter of the rod is

©

The elastic limit of a metal is ‌

400

π

MPa. If a rod of this metal is to support a 484N load without exceeding its elastic limit, the minimum diameter of the rod is

A cylindrical metal box whose flat surface has an area of 0.01m2 rests on liquid of 0.3mm thickness. If upon applying a horizontal force of magnitude ‌

1

3

N, the box slides with a constant speed of 0.09ms−1, the coefficient of viscosity of the liquid is nearly

©

A cylindrical metal box whose flat surface has an area of 0.01m2 rests on liquid of 0.3mm thickness. If upon applying a horizontal force of magnitude ‌

1

3

N, the box slides with a constant speed of 0.09ms−1, the coefficient of viscosity of the liquid is nearly

Consider two liquids A and B in a U - shaped tube in static equilibrium as shown in the figure. If the density of the liquid A is twice the density of liquid B, then the relation between hA and hB is

©

Consider two liquids A and B in a U - shaped tube in static equilibrium as shown in the figure. If the density of the liquid A is twice the density of liquid B, then the relation between hA and hB is

Assertion (A): When a uniform metallic rod rotating about perpendicular bisector with constant angular speed is heated uniformly to raise its temperature slightly, its speed of rotation increases.
Reason (R) : When a metal rod is heated uniformly to raise its temperature slightly its moment of inertia increases.

©

Assertion (A): When a uniform metallic rod rotating about perpendicular bisector with constant angular speed is heated uniformly to raise its temperature slightly, its speed of rotation increases.
Reason (R) : When a metal rod is heated uniformly to raise its temperature slightly its moment of inertia increases.

A gas in a closed container undergoes the cycle ABCA as shown in the figure. The net heat released by the gas after it has undergone 20 cycles is

©

A gas in a closed container undergoes the cycle ABCA as shown in the figure. The net heat released by the gas after it has undergone 20 cycles is

A vessel containing nitrogen gas is supplied a heat of 498J, so as to raise the temperature of the gas by 40∘C at constant pressure. The mass of nitrogen gas in the vessel is
(Molecular mass of nitrogen =28 g: Universal gas constant =8.3Jmol−1K−1 )

©

A vessel containing nitrogen gas is supplied a heat of 498J, so as to raise the temperature of the gas by 40∘C at constant pressure. The mass of nitrogen gas in the vessel is
(Molecular mass of nitrogen =28 g: Universal gas constant =8.3Jmol−1K−1 )

A point mass oscillates along x-axis according to x=x0‌sin(ωt−‌

π

6

). If the acceleration of the point mass is written as a=A‌sin(ωt+δ) then

©

A point mass oscillates along x-axis according to x=x0‌sin(ωt−‌

π

6

). If the acceleration of the point mass is written as a=A‌sin(ωt+δ) then

A string of length 1m and mass 490g is put under a tension of 25N. A wave of frequency 120Hz is sent along it. The speed of this wave is

©

A string of length 1m and mass 490g is put under a tension of 25N. A wave of frequency 120Hz is sent along it. The speed of this wave is

A concave lens and a convex lens are arranged as shown in the figure. The position of the final image

©

A concave lens and a convex lens are arranged as shown in the figure. The position of the final image

Two coherent sources O1 and O2 in Young's double slit experiment are illuminated with monochromatic light of wavelength 5000Å. If a second order dark fringe is formed at a point R on the screen, the path difference O1R∼O2R is

©

Two coherent sources O1 and O2 in Young's double slit experiment are illuminated with monochromatic light of wavelength 5000Å. If a second order dark fringe is formed at a point R on the screen, the path difference O1R∼O2R is

A wire of length L has a charge Q distributed uniformly along its length. The wire is bent in the shape of a semicircle. The magnitude of the electric field at the centre of curvature of the semicircle is

©

A wire of length L has a charge Q distributed uniformly along its length. The wire is bent in the shape of a semicircle. The magnitude of the electric field at the centre of curvature of the semicircle is

Let V1 be the potential at the center of the square of side 1m when the charges at the 4 corners are 2C each. If the same charges are placed at the corners of a square of side 2m, then the potential at the center of this square is V2. The value of ‌V2/V1 is

©

Let V1 be the potential at the center of the square of side 1m when the charges at the 4 corners are 2C each. If the same charges are placed at the corners of a square of side 2m, then the potential at the center of this square is V2. The value of ‌V2/V1 is

An infinite non-conducting sheet has a surface charge density of 7×10−7Cm−2 on one side. The distance between equipotential surfaces whose potentials differ by 19.8V, will be
(Take ‌

An infinite non-conducting sheet has a surface charge density of 7×10−7Cm−2 on one side. The distance between equipotential surfaces whose potentials differ by 19.8V, will be
(Take ‌

In the given figure: V1=V,V2=αV,R1=βR,R2=γR, where α,β, and γ are positive real numbers. The value of current I is

©

In the given figure: V1=V,V2=αV,R1=βR,R2=γR, where α,β, and γ are positive real numbers. The value of current I is

The value of current through the 5Ω resistor of the given circuit is

©

The value of current through the 5Ω resistor of the given circuit is

Two long parallel straight metal wires A and B carrying currents 12A and 36A respectively, in the same direction are separated by 50cm. The point relative to A, where the resultant magnetic induction between the two wires due to the currents is zero, will be

©

Two long parallel straight metal wires A and B carrying currents 12A and 36A respectively, in the same direction are separated by 50cm. The point relative to A, where the resultant magnetic induction between the two wires due to the currents is zero, will be

A long current carrying wire produces a magnetic field of 1T at a distance of r. The magnetic field at (a) ‌

A long current carrying wire produces a magnetic field of 1T at a distance of r. The magnetic field at (a) ‌

A vibration magnetometer is used at two different places A and B on the earth. The time period of a magnet suspended freely in the magnetometer at A is twice that at B. If the horizontal component of the earth's magnetic field at B is 32×106T, then its value at A is

©

A vibration magnetometer is used at two different places A and B on the earth. The time period of a magnet suspended freely in the magnetometer at A is twice that at B. If the horizontal component of the earth's magnetic field at B is 32×106T, then its value at A is

A uniform magnetic field

→

B

is perpendicular to the plane of a circular loop of diameter 10cm formed from wire of diameter 2mm and resistivity 2×10−8Ωm. If a current of 11A is to be induced in the loop then the rate at which

A uniform magnetic field

→

B

is perpendicular to the plane of a circular loop of diameter 10cm formed from wire of diameter 2mm and resistivity 2×10−8Ωm. If a current of 11A is to be induced in the loop then the rate at which

The impedance of an LR circuit with L=‌

60

π

mH,R=8Ω and frequency 50Hz is

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The impedance of an LR circuit with L=‌

60

π

mH,R=8Ω and frequency 50Hz is

The radiation pressure 1m away from a 330W electric bulb is

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The radiation pressure 1m away from a 330W electric bulb is

Among the following, the incorrect Maxwell's Electromagnetic equation is

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Among the following, the incorrect Maxwell's Electromagnetic equation is

A radiation of 3.8eV falls on a metal surface to produce photo electrons. These electrons are made to enter a magnetic field of 2×10−4T. If the radius of the largest circular path followed by these electrons is 30mm, then the work function of the metal is
(Mass of electron me=9×10−31kg )

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A radiation of 3.8eV falls on a metal surface to produce photo electrons. These electrons are made to enter a magnetic field of 2×10−4T. If the radius of the largest circular path followed by these electrons is 30mm, then the work function of the metal is
(Mass of electron me=9×10−31kg )

The shortest wavelength in the Paschen series of the Hydrogen spectrum is Rydberg constant of hydrogen =1.097×107m−1

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The shortest wavelength in the Paschen series of the Hydrogen spectrum is Rydberg constant of hydrogen =1.097×107m−1

The shortest wavelength in the Paschen series of the Hydrogen spectrum is Rydberg constant of hydrogen =1.097×107m−1

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The shortest wavelength in the Paschen series of the Hydrogen spectrum is Rydberg constant of hydrogen =1.097×107m−1

The energy of a photon in a monochromatic light of wavelength 621nm matches with the band gap of a semiconducting material. Then the minimum energy required to create an electron-hole pair from the semiconductor is
[Take hc =1242eV−nm, where h is Planck's constant and c is speed of light in vacuum]

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The energy of a photon in a monochromatic light of wavelength 621nm matches with the band gap of a semiconducting material. Then the minimum energy required to create an electron-hole pair from the semiconductor is
[Take hc =1242eV−nm, where h is Planck's constant and c is speed of light in vacuum]

A message signal of frequency 8kHz and peak voltage 12V is used to modulate a carrier of frequency 1.2MHz and peak voltage 20V. The modulation index is

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A message signal of frequency 8kHz and peak voltage 12V is used to modulate a carrier of frequency 1.2MHz and peak voltage 20V. The modulation index is

The value of work function of a metal X is 3.1eV. The threshold frequency of it (in Hz)(h=6.62×10−34Js)

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The value of work function of a metal X is 3.1eV. The threshold frequency of it (in Hz)(h=6.62×10−34Js)

The wavelength of the electron in the ground state of hydrogen atom is yA. What is the wavelength of the electron in the fourth orbit of He+ion ( in A ) is

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The wavelength of the electron in the ground state of hydrogen atom is yA. What is the wavelength of the electron in the fourth orbit of He+ion ( in A ) is

The set of amphoteric oxides among ZnO,Tl2O3,In2O3,B2O3,PbO,SnO2 is

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The set of amphoteric oxides among ZnO,Tl2O3,In2O3,B2O3,PbO,SnO2 is

In which of the following the elements are in correct order of their chemical reactivity in terms of oxidizing property?

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In which of the following the elements are in correct order of their chemical reactivity in terms of oxidizing property?

Identify the pair of species with same geometries

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Identify the pair of species with same geometries

If two gases CH4 and SO2, are allowed to enter from the two ends of a 1km long vacuum tube at the same time, where will the gases meet from the CH4 end?

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If two gases CH4 and SO2, are allowed to enter from the two ends of a 1km long vacuum tube at the same time, where will the gases meet from the CH4 end?

If 50% of 1MNa2SO4 is dissociated in aqueous solution of density 1.2gmL−1, what is the molality of Na+ion in the solution?

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If 50% of 1MNa2SO4 is dissociated in aqueous solution of density 1.2gmL−1, what is the molality of Na+ion in the solution?

What is the atomic mass of Fe?
Given abundance of
‌56Fe‌‌=10%
‌57Fe‌‌=85%
57Fe‌‌=5%

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What is the atomic mass of Fe?
Given abundance of
‌56Fe‌‌=10%
‌57Fe‌‌=85%
57Fe‌‌=5%

Identify the reaction\/process in which the entropy decreases

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Identify the reaction\/process in which the entropy decreases

From the following data at 25∘C, calculate the ∆rH0 for H2O(g)→2H(g)+O(g).

For ammonia formation from constituent elements, the expression for KC is

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For ammonia formation from constituent elements, the expression for KC is

The conjugate base of H3O+is

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The conjugate base of H3O+is

Which of the following reaction is not an example of hydrolysis reaction?

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Which of the following reaction is not an example of hydrolysis reaction?

CaCO3 was reacted with dil HCl to form three products. One of the products formed, when passed into slaked lime gave X. What is X ?

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CaCO3 was reacted with dil HCl to form three products. One of the products formed, when passed into slaked lime gave X. What is X ?

A few grams of sodium carbonate is added to 1L of water. What is the pH or pH range of resultant solution?

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A few grams of sodium carbonate is added to 1L of water. What is the pH or pH range of resultant solution?

Borax dissolves in water and forms a product of boron (X). Identify the compound X.

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Borax dissolves in water and forms a product of boron (X). Identify the compound X.

The number of six membered carbon rings and five membered carbon rings present in Buckminster fullerene are x and y respectively. The sum of x and y is:

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The number of six membered carbon rings and five membered carbon rings present in Buckminster fullerene are x and y respectively. The sum of x and y is:

The IUPAC name of the following compound is

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The IUPAC name of the following compound is

An unsaturated organic compound, X on reaction with hot, acidified KMnO4 gives succinic acid. What is X ?

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An unsaturated organic compound, X on reaction with hot, acidified KMnO4 gives succinic acid. What is X ?

Which of the following statement is not correct?

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Which of the following statement is not correct?

F- centers are formed in NaCl crystal if it is heated with Na Vapour. The above is due to

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F- centers are formed in NaCl crystal if it is heated with Na Vapour. The above is due to

At 298K, the Vapour pressure of pure water is 25 torr. The Vapour pressure of water. when 12g of urea (molar mass, 60gmol−1 ) and 36g of glucose (molar mass, 180g mol−1 ) is dissolved in 100g of water at the same temperature (in torr) is

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At 298K, the Vapour pressure of pure water is 25 torr. The Vapour pressure of water. when 12g of urea (molar mass, 60gmol−1 ) and 36g of glucose (molar mass, 180g mol−1 ) is dissolved in 100g of water at the same temperature (in torr) is

Which of the following solution has the highest freezing point?

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Which of the following solution has the highest freezing point?

What is the molar conductivity of CH3CO2H at infinite dilution?
Given that,
∧m∘(CH3CO2)2Ba=x1Scm2mol−1
∧mo(BaCl2)=x2Scm2mol−1
∧mo(HCl)=x3Scm2mol−1

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What is the molar conductivity of CH3CO2H at infinite dilution?
Given that,
∧m∘(CH3CO2)2Ba=x1Scm2mol−1
∧mo(BaCl2)=x2Scm2mol−1
∧mo(HCl)=x3Scm2mol−1

A→ products, is a first order reaction. The time required to decompose A to half its initial amount is 60 minutes. The rate constant of the reaction (ins−1) is

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A→ products, is a first order reaction. The time required to decompose A to half its initial amount is 60 minutes. The rate constant of the reaction (ins−1) is

The colour of Mg(OH)2 precipitate formed when it is precipitated in the presence of magneson reagent is

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The colour of Mg(OH)2 precipitate formed when it is precipitated in the presence of magneson reagent is

Milk - water mixture when viewed by the reflected light appears in which colour?

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Milk - water mixture when viewed by the reflected light appears in which colour?

The moisture present in ammonia can be removed by using which of the following?

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The moisture present in ammonia can be removed by using which of the following?

Which of the following source materials generate SO2 that is used in contact process?

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Which of the following source materials generate SO2 that is used in contact process?

Which of the following ions can reduce dilute acid to give hydrogen gas?

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Which of the following ions can reduce dilute acid to give hydrogen gas?

The set with only ambidentate ligands in the following is

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The set with only ambidentate ligands in the following is

In which of the following, Keratin, a fibrous protein is absent?

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In which of the following, Keratin, a fibrous protein is absent?

The total number by amino acids present in insulin is

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The total number by amino acids present in insulin is

Identify the major product formed from the sequence of reactions given below

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Identify the major product formed from the sequence of reactions given below

The reaction of 1 - bromohexane with aqueous NaOH solution follows the order

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The reaction of 1 - bromohexane with aqueous NaOH solution follows the order

Identify the major product formed from the following reaction sequence

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Identify the major product formed from the following reaction sequence

Arrange the following in increasing order of pKa values

Identify the major product from the following reaction sequence

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Identify the major product from the following reaction sequence

The reagent P used for the reaction is

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The reagent P used for the reaction is

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