379 + Interview Questions in RACE IN GENERAL AWARENESS Page 1 InterviewSolution

1.	Two circular loops A and B of radii R and 2R respectively are made of the similar wire. Their moments of inertia about the axis passing through the centre of perpendicular to their plane are `I_(A)" and "I_(B)` respectively. The ratio`(I_(A))/(I_(B))` is :A. `(1)/(4)`B. `(1)/(8)`C. `(1)/(2)`D. 1
Answer» Correct Answer - B

Discussion

2.	The radius of gyration (K) of a rigid body changes with change of :-A. Angular speedB. Axis of rotationC. Both (1) and (2)D. Never changes
Answer» Correct Answer - B

Discussion

3.	Four spheres of diameter 2a and mass M are placed with their centres on the four corners of a square of side b. Then moment of inertia of the system about an axis about one of the sides of the square is :-A. `Ma^(2)+2Mb^(2)`B. `Ma^(2)`C. `Ma^(2)+4Mb^(2)`D. `(8)/(5)Ma^(2)+2Mb^(2)`
Answer» Correct Answer - D

Discussion

4.	Three rods each of mass m and length l are joined together to form an equilateral triangle as shown in figure. Find the moment of inertial of the system about an axis passig through its centre of mass and perpendicular to the plane of the particle.A. `2mL^(2)`B. `(mL^(2))/(2)`C. `(mL^(2))/(3)`D. `(mL^(2))/(6)`
Answer» Correct Answer - B

Discussion

5.	Two solid spheres of different mass, radii and denisty roll down a rough inclined plane under indentical situation. Their time to come down is independent o their :-A. MassB. RadiusC. DensityD. All of these
Answer» Correct Answer - D

Discussion

6.	Two particles of equal mass (m) each move in a circle of radius (r) under the action of their mutual gravitational attraction find the speed of each particle.A. `(1)/(2R)sqrt((1)/(Gm)`B. `sqrt((Gm)/(2R))`C. `(1)/(2)sqrt((Gm)/(R))`D. `sqrt((4Gm)/(R))`
Answer» Correct Answer - C

Discussion

7.	Two dises having masses in the ratio `1 : 2` and radii in the ratio `1 : 8` roll down without slipping one by one from an inclined plane of height h. The ratio of their linear velocities on reaching the ground is :-A. `1 : 16`B. `1 : 128`C. `1 : 8sqrt(2)`D. `1 : 1`
Answer» Correct Answer - D

Discussion

8.	An inclined plane makes an angle 30° with the horizontal. A solid sphere rolling down this inclined plane from rest without slipping has a linear acceleration equal toA. `(g)/(3)`B. `(2g)/(3)`C. `(5g)/(7)`D. `(5g)/(14)`
Answer» Correct Answer - D

Discussion

9.	The position (x) of body moving along x-axis at time (t) is given by `x=3f^(2)` where x is in matre and t is in second. If mass of body is 2 kg, then find the instantaneous power delivered to body by force acting on it at `t=4` s.A. 288 WB. 280 WC. 290 WD. None
Answer» Correct Answer - A

Discussion

10.	When a point mass slips down a smooth incline from top, it reaches the bottom with linear speed v. If same mass in the form of disc rolls down without slipping a rough incline of identical geometry through same distance, what will be its linear velocity at the bottom ?A. `vsqrt((2)/(3))`B. `sqrt((v)/(3))`C. vD. `sqrt((2v)/(3))`
Answer» Correct Answer - A

Discussion

11.	Two pendulums of length 1.21 m and 1.0 m starts vibrationg. At some instant, the two are in the mean position in same phase. After how many vibrations of the longer pendulum, the two will be in phase ?A. 10B. 11C. 20D. 21
Answer» Correct Answer - A

Discussion

12.	What is the minimum coefficient of friction for a solid sphere to roll without slipping on an inclined plane of inclination `theta` ?A. `(2)/(7)tantheta`B. `(1)/(3)tantheta`C. `(1)/(2)tantheta`D. `(2)/(5)tantheta`
Answer» Correct Answer - A

Discussion

13.	A thin uniform circular ring is rolling down an inclined plane of inclination `30^(@)` without slipping. Its linear acceleration along the inclined plane is :A. gB. `(g)/(2)`C. `(g)/(3)`D. `(g)/(4)`
Answer» Correct Answer - D

Discussion

14.	A block of mass 8 kg is released from the top of an inclined smooth surface as shown in figure. If spring constant of spring is 200 Nm^(-1) and block comes to rest after compressing spring by 1 m then find the distance travelled by block before it comes to rest A. 2.5 mB. 3.5 mC. 2.0 mD. None
Answer» Correct Answer - A

Discussion

15.	A smooth inclined plane having angle of inclination `30^(@)` with horizontal has a mass `2.5 kg` held by a spring which is fixed at the upper end as hwon in figure. If the mass is taken `2.5 cm` up along the surface of the inclined plane, the tension in the soring reduces to zero. If the mass is then released, the angular frequency of oscillation in radian per second is A. 7B. 14C. 0.7D. 1.4
Answer» Correct Answer - B

Discussion

16.	`root(5)(16)xxroot(5)(2)` is equal t :-A. `2^(2)`B. 2C. `2^(1//3)`D. `2^(2//3)`
Answer» Correct Answer - B

Discussion

17.	The exhaust velocity of gases with respect to a small rocket of mass 25 kg. is `28xx10^(2)m//s`. At what rate the fuel must burn so that it may rise up with an acceleration of `9.8 m//s^(2)`?A. 175 KgB. 1.75 Kg/sC. 0.175 Kg/sD. Zero
Answer» Correct Answer - C

Discussion

18.	Let P be an interior point of a triangle ABC , Let Q and R be the reflections of P in AB and AC , respectively if Q .A , R are collinear then `angle A ` equals -A. `30^(@)`B. `60^(@)`C. `90^(@)`D. `120^(@)`
Answer» Correct Answer - C

Discussion

19.	Three waves producing displacement in the same direction of same frequency and of amplitudes `10etam, 4etam" and "7eta` m arrive at a point with successive phase difference of `pi//2`. The amplitude of the resultant wave is :--A. `2etam`B. `7etam`C. `5etam`D. 1
Answer» Correct Answer - C

Discussion

20.	Two coherent sources of different intensities send waves which interfere. The ratio of maximum intensity to the minimum intensity is `25`. The intensities of the sources are in the ratio
Answer» Correct Answer - C

Discussion

21.	Two blocks of masses 5kg and 2kg are connected by a spring of negligible mass and placed on a frictionless horizontal surface. An impulse provides a velocity of 7m/s to the heavier block in the direction of the lighter block. The velocity of the centre of mass is :-A. 4 m/sB. 5m/sC. 2m/sD. 3m/s
Answer» Correct Answer - B

Discussion

22.	A man of mass 60 kg is in a lift and lift is accelerating upwards with acceleration `4 m//s^(2)`. Calculate effective weight of man in lift.
Answer» Correct Answer - 840 N

Discussion

23.	If impulse I varies time t as I`(kg ms^(-1))=20t^(2)-40t`. The change in momentum is minimum at :-A. t=2 sB. t=1 sC. `t=(1)/(2)s`D. `t=(3)/(2)s`
Answer» Correct Answer - B

Discussion

24.	The average force necessary to stop a hammer with momentum p (in N-s) in 0.5 s is :-A. 2p NB. p NC. 4p ND. `(P)/(2)N`
Answer» Correct Answer - A

Discussion

25.	A pendulum has a period `T` for small osillations. An obstacle is placed directly beneath the pivot, so that only the lowest one - quarter of the string can follow the pendulum bob when it swings to the left of its resting position. The pendulum is released from rest at a certain point. How long will it take to return to that point again ? In answering this question, you may assume that the angle between the moving string and the vertical stays small throughout the motion. A. TB. T/2C. 3T/4D. T/4
Answer» Correct Answer - C

Discussion

26.	The graph between two temperature scales `A` and `B` is shown in Fig. Between upper fixed point and lower fixed point there are `150` equal divisions on scales `A` and `100` on scale `B`. The relation between the temperature in two scales is given by_ A. `(t_(A)-180)/(100)=(t_(B))/(150)`B. `(t_(A)-30)/(150)=(t_(B))/(100)`C. `(t_(A)-180)/(150)=(t_(A))/(100)`D. `(t_(B)-40)/(100)=(t_(A))/(180)`
Answer» Correct Answer - B

Discussion

27.	A ball is thrown upward from edge of a cliff with an intial velocity of 6 m/s. How fast is it moving 1/2 s later ?`(g=10 m/s^(2))`
Answer» Correct Answer - `1m//s`

Discussion

28.	A ball is thrown from a comer of room of length 20 m and height 5 m such that the ball moves along the length of room just touching the ceiling and drops on the other corner. Find out (i) Angle of projection (ii) Velocity of projection (iii) Time of flight
Answer» Correct Answer - (i)`45^(@)` (ii)`10sqrt(2)m//s` (iii) 2 sec

Discussion

29.	The interior angle of a n sided regular polygon is `48^(@)` more than the interior angle of a regular hexagon. Find n.A. 13B. 30C. 15D. 50
Answer» Correct Answer - B

Discussion

30.	A body of mass `m`, accelerates uniformly from rest to `V_(1)` in time `t_(1)`. The instantaneous power delivered to the body as a function of time `t` is.A. `(mv_(1)^(2))/(T_(1)^(2))t`B. `(mv_(1))/(T_(1)^(2))t`C. `((mv_(1))/(T_(1)))^(2)t`D. `(mv_(1)^(2))/(T_(1))t^(2)`
Answer» Correct Answer - A

Discussion

31.	What is the phase difference between the displacement wave and pressure wave in sound wave :-A. ZeroB. `(pi)/(2)`C. `pi`D. `(pi)/(4)`
Answer» Correct Answer - B

Discussion

32.	An unloaded bus can be stopped by applying brakies on straight road after covering a distance x. Suppose, the passenger add `50%` of its weight as the load and the braking force remains unchanged, how far will the bus go after the application of the brakes ?(Velocity of bus in both case is same) (Consider negligible friction):-A. ZeroB. 1.5 xC. 2xD. 2.5 x
Answer» Correct Answer - B

Discussion

33.	A wire of length l having tension T and radius `r` vibrates with fundamental frequency `f`. Another wire of the same metal with length `2l` having tension `2T` and radius `2r` will vibrate with fundamental frequency :A. fB. 2fC. `(f)/(2sqrt(2))`D. `(f)/(2)sqrt(2)`
Answer» Correct Answer - C

Discussion

34.	Equation of a standing wave is generally expressed as `y=2Asinomegatcoskx`. In the equation quantity `(omega)/(k)` representsA. the transverse speed of the particles of the stringB. the speed of either of the component waveC. the speed of the stnding waveD. a quantity that is independent of the properties of the string.
Answer» Correct Answer - B

Discussion

35.	Which of the following graph yield a straight line?A. Graph :`sqrt()y` versus x for the equation `y=4x^(2)`B. Graph : y versus `sqrt()x` for the equation` y=36sqrt()x`C. Graph : y versus `1//x` for the equation `y=(4//x)-2`D. Graph : K versus v for equation `K=hv-phi_(0)` where h and `phi_(0)` are constants.
Answer» Correct Answer - A::B::C::D

Discussion

36.	The product of all values of x which make the following statement true `(log_(3)x) (log_(5)9)-log_(x)25 +log_(3)2 = log_(3)54`, isA. `sqrt(5)`B. 5C. `56sqrt(5)`D. 25
Answer» Correct Answer - C

Discussion

37.	The equation `sqrt(x)=2y`, represents that graph between x and y is a :-A. Straight lineB. ParabolaC. HyperbolaD. Circle
Answer» Correct Answer - B

Discussion

38.	The number of values of b for which there is an isoscles triangle with sides of length `b + 5,3b - 2`, and `6-b` is:
Answer» Correct Answer - C

Discussion

39.	If `10a^(2)-27a+5=0`, find values of a
Answer» Correct Answer - `(5)/(2)" or "(1)/(5)`

Discussion

40.	Find the value of :- (i)` sqrt(4)` (ii)` sqrt(9)` (iii)`sqrt(16)` (iv)sqrt(36)`
Answer» Correct Answer - (i) 2 (ii) 3 (iii) 4 (iv) 6

Discussion

41.	If `y^(2)-2y-3=0`, find the values of y.
Answer» Correct Answer - `3" or "-1`

Discussion

42.	Find the values of :- (1)`(8)^(1//3)` (2)`(64)^(1//2)` (3)`4^(5//2)` (4)`(36)^(3//2)` (5)`(27)^(2//3)`
Answer» Correct Answer - (i)2 (ii)8 (iii)32 (iv)216 (v)9

Discussion

43.	Solve the following :- (i)`2+4-9` (ii)`3+6-10` (iii)`12-5-3` (iv)`100-50+40` (v)`5^(3)-3^(4)-2^(2)` (vi)`6^(4)+2^(2)-8^(3)`
Answer» Correct Answer - (i) -3 (ii) -1 (iii) 4 (iv) 90 (v) 40 (vi) 788

Discussion

44.	Simplify :- (i)`(6)/(sqrt(2))` (ii)`(sqrt(3))/(3)` (iii)`sqrt((3)/(4))` (iv)`(6)/(sqrt(2))` (v)`(sqrt(5))/(10)` (vi)`sqrt((16)/(2))`
Answer» Correct Answer - (i)`sqrt(2)` (ii)`(1)/(sqrt(3))` (iii)`(sqrt(3))/(2)` (iv)`3sqrt(2)` (v)`(1)/(2sqrt(5))` (vi)`2sqrt(2)`

Discussion

45.	Simplify :- (i)`(10)/(4)` (ii)`(200)/(50)` (iii)`(27)/(24)` (iv)`(55)/(22)` (v)`(64)/(16)` (vi)`(8)/(6)`
Answer» Correct Answer - (i)`(5)/(2)` (ii) 4 (iii)` (9)/(8)` (iv)` (5)/(2)` (v) 4 (vi)`(4)/(3)`

Discussion

46.	Solve the following :- (i)`sqrt(sqrt(2)/(3))xxsqrt((9)/(2))` (ii)`sqrt((5)/(6))xxsqrt((3)/(5))` (iii)`sqrt((3)/(5))divsqrt((27)/(125))` (iv)`sqrt((4)/(9))divsqrt((64)/(81))`
Answer» Correct Answer - (i)`sqrt(3)` (ii)`(1)/(sqrt(2))` (iii)`(5)/(3)` (iv)`(3)/(4)`

Discussion

47.	Find the values of :- (i)`2^(4)` (ii)`4^(3)` (iii)`3^(2)` (iv)`5^(3)` (v)`9^(4)` (vi)`7^(3)`
Answer» Correct Answer - (i) 16 (ii) 64 (iii) 9 (iv) 125 (v) 6561 (vi)343

Discussion

48.	A 100 m long train is moving with a velocity of 10 m/s, then find out the time taken by train to cross a bridge of length 150 m.
Answer» Correct Answer - 25 sec

Discussion

49.	Solve the following :- (i)`2xx4xx5` (ii)`9xx3xx4` (iii)`6xx(1)/(5)xx125` (iv)`15xx6xx(1)/(10)` (v)`3xx4xx(1)/(16)xx15` (vi)`20xx10xx(1)/(500)`
Answer» Correct Answer - (i) 40 (ii) 108 (iii) 150 (iv) 9 (v) 11.25 (vi) 0.4

Discussion

50.	A 150 m long train is moving in north direction with a velocity of 5m/s and a parrot is also moving in north direction with a velocity of 10 m/s, then find out (i) The time taken by parrot to cross the train (ii) Distance travel by the parrot during the crossing.
Answer» Correct Answer - (i)`30sec (ii) 300m

Discussion

Explore topic-wise InterviewSolutions in .

Two circular loops A and B of radii R and 2R respectively are made of the similar wire. Their moments of inertia about the axis passing through the centre of perpendicular to their plane are `I_(A)" and "I_(B)` respectively. The ratio`(I_(A))/(I_(B))` is :A. `(1)/(4)`B. `(1)/(8)`C. `(1)/(2)`D. 1

The radius of gyration (K) of a rigid body changes with change of :-A. Angular speedB. Axis of rotationC. Both (1) and (2)D. Never changes

Four spheres of diameter 2a and mass M are placed with their centres on the four corners of a square of side b. Then moment of inertia of the system about an axis about one of the sides of the square is :-A. `Ma^(2)+2Mb^(2)`B. `Ma^(2)`C. `Ma^(2)+4Mb^(2)`D. `(8)/(5)Ma^(2)+2Mb^(2)`

Two solid spheres of different mass, radii and denisty roll down a rough inclined plane under indentical situation. Their time to come down is independent o their :-A. MassB. RadiusC. DensityD. All of these

Two particles of equal mass (m) each move in a circle of radius (r) under the action of their mutual gravitational attraction find the speed of each particle.A. `(1)/(2R)sqrt((1)/(Gm)`B. `sqrt((Gm)/(2R))`C. `(1)/(2)sqrt((Gm)/(R))`D. `sqrt((4Gm)/(R))`

Two dises having masses in the ratio `1 : 2` and radii in the ratio `1 : 8` roll down without slipping one by one from an inclined plane of height h. The ratio of their linear velocities on reaching the ground is :-A. `1 : 16`B. `1 : 128`C. `1 : 8sqrt(2)`D. `1 : 1`

An inclined plane makes an angle 30° with the horizontal. A solid sphere rolling down this inclined plane from rest without slipping has a linear acceleration equal toA. `(g)/(3)`B. `(2g)/(3)`C. `(5g)/(7)`D. `(5g)/(14)`

The position (x) of body moving along x-axis at time (t) is given by `x=3f^(2)` where x is in matre and t is in second. If mass of body is 2 kg, then find the instantaneous power delivered to body by force acting on it at `t=4` s.A. 288 WB. 280 WC. 290 WD. None

Two pendulums of length 1.21 m and 1.0 m starts vibrationg. At some instant, the two are in the mean position in same phase. After how many vibrations of the longer pendulum, the two will be in phase ?A. 10B. 11C. 20D. 21

What is the minimum coefficient of friction for a solid sphere to roll without slipping on an inclined plane of inclination `theta` ?A. `(2)/(7)tantheta`B. `(1)/(3)tantheta`C. `(1)/(2)tantheta`D. `(2)/(5)tantheta`

A thin uniform circular ring is rolling down an inclined plane of inclination `30^(@)` without slipping. Its linear acceleration along the inclined plane is :A. gB. `(g)/(2)`C. `(g)/(3)`D. `(g)/(4)`

A block of mass 8 kg is released from the top of an inclined smooth surface as shown in figure. If spring constant of spring is 200 Nm^(-1) and block comes to rest after compressing spring by 1 m then find the distance travelled by block before it comes to rest A. 2.5 mB. 3.5 mC. 2.0 mD. None

`root(5)(16)xxroot(5)(2)` is equal t :-A. `2^(2)`B. 2C. `2^(1//3)`D. `2^(2//3)`

The exhaust velocity of gases with respect to a small rocket of mass 25 kg. is `28xx10^(2)m//s`. At what rate the fuel must burn so that it may rise up with an acceleration of `9.8 m//s^(2)`?A. 175 KgB. 1.75 Kg/sC. 0.175 Kg/sD. Zero

Let P be an interior point of a triangle ABC , Let Q and R be the reflections of P in AB and AC , respectively if Q .A , R are collinear then `angle A ` equals -A. `30^(@)`B. `60^(@)`C. `90^(@)`D. `120^(@)`

Three waves producing displacement in the same direction of same frequency and of amplitudes `10etam, 4etam" and "7eta` m arrive at a point with successive phase difference of `pi//2`. The amplitude of the resultant wave is :--A. `2etam`B. `7etam`C. `5etam`D. 1

Two coherent sources of different intensities send waves which interfere. The ratio of maximum intensity to the minimum intensity is `25`. The intensities of the sources are in the ratio

Two blocks of masses 5kg and 2kg are connected by a spring of negligible mass and placed on a frictionless horizontal surface. An impulse provides a velocity of 7m/s to the heavier block in the direction of the lighter block. The velocity of the centre of mass is :-A. 4 m/sB. 5m/sC. 2m/sD. 3m/s

A man of mass 60 kg is in a lift and lift is accelerating upwards with acceleration `4 m//s^(2)`. Calculate effective weight of man in lift.

If impulse I varies time t as I`(kg ms^(-1))=20t^(2)-40t`. The change in momentum is minimum at :-A. t=2 sB. t=1 sC. `t=(1)/(2)s`D. `t=(3)/(2)s`

The average force necessary to stop a hammer with momentum p (in N-s) in 0.5 s is :-A. 2p NB. p NC. 4p ND. `(P)/(2)N`

A ball is thrown upward from edge of a cliff with an intial velocity of 6 m/s. How fast is it moving 1/2 s later ?`(g=10 m/s^(2))`

A ball is thrown from a comer of room of length 20 m and height 5 m such that the ball moves along the length of room just touching the ceiling and drops on the other corner. Find out (i) Angle of projection (ii) Velocity of projection (iii) Time of flight

The interior angle of a n sided regular polygon is `48^(@)` more than the interior angle of a regular hexagon. Find n.A. 13B. 30C. 15D. 50

A body of mass `m`, accelerates uniformly from rest to `V_(1)` in time `t_(1)`. The instantaneous power delivered to the body as a function of time `t` is.A. `(mv_(1)^(2))/(T_(1)^(2))t`B. `(mv_(1))/(T_(1)^(2))t`C. `((mv_(1))/(T_(1)))^(2)t`D. `(mv_(1)^(2))/(T_(1))t^(2)`

What is the phase difference between the displacement wave and pressure wave in sound wave :-A. ZeroB. `(pi)/(2)`C. `pi`D. `(pi)/(4)`

A wire of length l having tension T and radius `r` vibrates with fundamental frequency `f`. Another wire of the same metal with length `2l` having tension `2T` and radius `2r` will vibrate with fundamental frequency :A. fB. 2fC. `(f)/(2sqrt(2))`D. `(f)/(2)sqrt(2)`

The product of all values of x which make the following statement true `(log_(3)x) (log_(5)9)-log_(x)25 +log_(3)2 = log_(3)54`, isA. `sqrt(5)`B. 5C. `56sqrt(5)`D. 25

The equation `sqrt(x)=2y`, represents that graph between x and y is a :-A. Straight lineB. ParabolaC. HyperbolaD. Circle

The number of values of b for which there is an isoscles triangle with sides of length `b + 5,3b - 2`, and `6-b` is:

If `10a^(2)-27a+5=0`, find values of a

Find the value of :- (i)` sqrt(4)` (ii)` sqrt(9)` (iii)`sqrt(16)` (iv)sqrt(36)`

If `y^(2)-2y-3=0`, find the values of y.

Find the values of :- (1)`(8)^(1//3)` (2)`(64)^(1//2)` (3)`4^(5//2)` (4)`(36)^(3//2)` (5)`(27)^(2//3)`

Solve the following :- (i)`2+4-9` (ii)`3+6-10` (iii)`12-5-3` (iv)`100-50+40` (v)`5^(3)-3^(4)-2^(2)` (vi)`6^(4)+2^(2)-8^(3)`

Simplify :- (i)`(6)/(sqrt(2))` (ii)`(sqrt(3))/(3)` (iii)`sqrt((3)/(4))` (iv)`(6)/(sqrt(2))` (v)`(sqrt(5))/(10)` (vi)`sqrt((16)/(2))`

Simplify :- (i)`(10)/(4)` (ii)`(200)/(50)` (iii)`(27)/(24)` (iv)`(55)/(22)` (v)`(64)/(16)` (vi)`(8)/(6)`

Solve the following :- (i)`sqrt(sqrt(2)/(3))xxsqrt((9)/(2))` (ii)`sqrt((5)/(6))xxsqrt((3)/(5))` (iii)`sqrt((3)/(5))divsqrt((27)/(125))` (iv)`sqrt((4)/(9))divsqrt((64)/(81))`

Find the values of :- (i)`2^(4)` (ii)`4^(3)` (iii)`3^(2)` (iv)`5^(3)` (v)`9^(4)` (vi)`7^(3)`

A 100 m long train is moving with a velocity of 10 m/s, then find out the time taken by train to cross a bridge of length 150 m.

Solve the following :- (i)`2xx4xx5` (ii)`9xx3xx4` (iii)`6xx(1)/(5)xx125` (iv)`15xx6xx(1)/(10)` (v)`3xx4xx(1)/(16)xx15` (vi)`20xx10xx(1)/(500)`

A 150 m long train is moving in north direction with a velocity of 5m/s and a parrot is also moving in north direction with a velocity of 10 m/s, then find out (i) The time taken by parrot to cross the train (ii) Distance travel by the parrot during the crossing.