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Free download in PDF Machines and Graphics MCQs and Answers for competitive exams. These short objective type questions with answers are very important for competitive exams like IIT-JEE, AIIMS, GATE etc. as well as Board exams. These short solved questions or quizzes are provided by Gkseries.
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
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
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
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
86
The dimensions of power are.
[A]
M'L2T2
[B]
M'L'T3
[C]
M'L'r2
[D]
M'L-'T*
87
One Newton is equivalent to
[A]
1 kg-wt
[B]
9.81 kg-wt
[C]
981 dyne
[D]
1/9.81 kg-wt
88
Which of the following is a scalar quantity?
[A]
Energy
[B]
Momentum
[C]
Torque
[D]
Impulse
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
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
92
The shape of a suspended cable for a uniformly distributed load over it is
[A]
Circular
[B]
Parabolic
[C]
Catenary
[D]
Cubic Parabola
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
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
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
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
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
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
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
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