Question: The dimensions of Gravitational Universal constant ‘G’ are______________?

• 1. M-‘L2r2
• 2. M-‘L3r2
• 3. M-2L3T2
• 4. M’L3T2

Question: One Newton is equivalent to_________________?

• 1. 105 dyne
• 2. 106 dyne
• 3. 107 dyne
• 4. 981 dyne

Question: The potential energy of a particle falling through a straight shaft drilled through the earth (assumed homogenous and spherical) is proportional to____________________?

• 1. log r
• 2. r
• 3. r2
• 4. 1/r

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

• 1. zero
• 2. maximum
• 3. minimum
• 4. varying

Question: Which of the following represents the state of neutral equilibrium ?

• 1. a cube resting on one edge
• 2. a smooth cylinder lying on a curved surface
• 3. a smooth cylinder lying on a convex surface
• 4. none of the above

Question: 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

• 1. a simple harmonic motion
• 2. a rectilinear motion with constant speed
• 3. a damped oscillatory motion
• 4. none of the above

Question: 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___________________?

• 1. E
• 2. E/2
• 3. 2E
• 4. 4E

Question: 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_________________?

• 1. A
• 2. A/2
• 3. A/V2
• 4. AV2

Question: 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_________________?

• 1. f
• 2. 1/f
• 3. 1/f2
• 4. f2

Question: 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___________________?

• 1. 4.5 J
• 2. 9.0 J
• 3. 12.0 J
• 4. 18.0 J