At the instantaneous center, the velocity of the moving lamina at any instant is_________________?

A. Zero
B. Maximum
C. Minimum
D. Varying

Which of the following represents the state of neutral equilibrium ?

A. A cube resting on one edge
B. A smooth cylinder lying on a curved surface
C. A smooth cylinder lying on a convex surface
D. None of the above

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

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

If the kinetic energy and potential energy of a simple harmonic oscillator of amplitude A are both equal to half the total energy, then the displacement is equal to_________________?

A. A
B. A/2
C. A/v2
D. Av2

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

A particle of mass 2 kg executes simple harmonic motion of frequency 6/71 Hz and amplitude 0.25 m. Its maximum kinetic energy is___________________?

A. 4.5 j
B. 9.0 j
C. 12.0 j
D. 18.0 j

If A is the amplitude of particle executing simple harmonic motion, then the total energy E of the particle is___________________?

A. Proportional to a
B. Proportional to a2
C. Proportional to 1/a2
D. Independent of a

A stone is thrown up a slope of inclination 60° to the horizontal. At what angle to the slope must the stone be thrown so as to land as far as possible from the point of projection ?

A. 15°
B. 30°
C. 45°
D. 75°

If a projectile is fired with an initial velocity of 10 m/sec at an angle of 60° to the horizontal, its horizontal and vertical velocity at the highest point of trajectory are___________________?

A. 0 and 5 m/sec
B. 5 m/sec and 0
C. 5 v3 m/sec and 0
D. 5 and 5v3 m/sec