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81 It is observed that in a certain sinusoidal oscillation, the amplitude is linearly dependent on the frequency f. If the maximum velocity during the oscillation is V, then V must be proportional to
A f
B 1/f
C 1/f2
D f2

Answer: f2
82 A simple pendulum of length 1 has an energy E when its amplitude is A. If its amplitude is increased to 2 A, the energy becomes
A E
B E/2
C 2E
D 4E

Answer: 4E
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83 A simple pendulum of length / has an energy E, when its amplitude is A. If the length of pendulum is doubled, the energy will be
A E
B E/2
C 2E
D 4E

Answer: E/2
84 One end of an elastic string of natural length / and modulus X is kept fixed while to the other end is attached a particle of mass m which is hanging freely under gravity. The particle is pulled down vertically through a distance x, held at rest and then released. The motion is
A a simple harmonic motion
B a rectilinear motion with constant speed
C a damped oscillatory motion
D none of the above

Answer: a simple harmonic motion
85 The potential energy of a particle falling through a straight shaft drilled through the earth (assumed homogenous and spherical) is proportional to
A log r
B r
C r2
D 1/r

Answer: r2
86 The dimensions of power are.
A M'L2T2
B M'L'T3
C M'L'r2
D M'L-'T*

Answer: M'L'T3
87 One Newton is equivalent to
A 1 kg-wt
B 9.81 kg-wt
C 981 dyne
D 1/9.81 kg-wt

Answer: 1/9.81 kg-wt
88 Which of the following is a scalar quantity?
A Energy
B Momentum
C Torque
D Impulse

Answer: Energy
89 Coefficient of friction depends on
A Nature Of Surfaces Only
B Area Of Contact Only
C Both (A) And (B)
D None Of The Above

Answer: Nature Of Surfaces Only
90 A rope is wrapped twice around a rough pole with a coefficient of friction 'A . It is subjected to a force Fj at one end and a gradually increasing force F2 is applied at the other end till the rope just starts slip-ping. At this instant the ratio of F2 to Fi is
A 1
B e2*
C e4*
D e*72

Answer: e2*
91 A ladder of weight 'w' rests against a smooth vertical wall, and rests on rough horizontal ground, the coefficient of friction between the ladder and the ground being 1/4. The maximum angle of inclination of the ladder to the vertical, if a man of weight 'w' is to walk to the top of it safely, is tan'1 x, where x is
A 1/4
B 1/3
C 3
D 4

Answer: 1/3
92 The shape of a suspended cable for a uniformly distributed load over it is
A Circular
B Parabolic
C Catenary
D Cubic Parabola

Answer: Parabolic
93 Minimum pull in a suspended cable with supports at two ends is equal to
A Horizontal Thrust
B Support Reactions
C Resultant Of Horizontal Thrust And Support Reaction
D Half The Weight Of The Cable

Answer: Horizontal Thrust
94 The maximum pull in a cable, carrying a uniformly distributed load and supported at two ends which are at the same level, is at
A Supports
B Quarter Span
C Mid Span
D None Of The Above

Answer: Supports
95 A ball moving on a smooth horizontal table hits a rough vertical wall, the coefficient of restitution between ball and wall being 1/3. The ball rebounds at the same angle. The fraction of its kinetic energy lost is
A 1/3
B 2/3
C 1/9
D 8/9

Answer: 8/9
96 A ball is dropped from a height of 16 m on a horizontal floor. If it rebounds to a height of 9 m after striking the floor, the coefficient of restitution between ball and floor is
A 1/4
B 2/3
C 3/4
D 4/3

Answer: 3/4
97 When a body slides down an inclined surface, the acceleration of the body is given by
A g
B gsinG
C g cos 6
D g tan 6

Answer: gsinG
98 A shell travelling with a horizontal velocity of 100 m/sec explodes and splits into two parts, one of mass 10 kg and the other of 15 kg. The 15 kg mass drops vertically downward with initial velocity of 100 m/sec and the 10 kg mass begins to travel at an angle to the horizontal of tan"1 x, where x is
A 3/4
B 4/5
C 5/3
D 3/5

Answer: 3/5
99 A car goes round a curve of radius 100 m at 25 m/sec. The angle to the horizontal at which the road must be banked to prevent sideways friction on the car wheels is tan"1 x, where x is (Assume g = 10 m/sec2)
A 3/8
B 1/2
C 9/5
D 5/8

Answer: 5/8
100 The angular speed of a car taking a circular turn of radius 100 m at 36 km/hr will be
A 0.1 rad/sec
B 1 rad/sec
C 10 rad/sec
D 100 rad/sec

Answer: 0.1 rad/sec

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