Free and Damped Oscillation

A body continues to oscillate due to

• inertia.

• elasticity.

• either elasticity or inertia.

• both elasticity and inertia.

Which one is correct, in case of oscillation?

• Displacement and restoring force are in the same direction.

• Displacement is always away from mean position where as restoring force is always towards the mean position.

• Displacement is always towards the mean position where as restoring force is always away from the mean position.

• The direction of displacement and restoring force is random.

Which force (s) is (are) present in case of damped oscillation?

• Restoring force

• Damping force

• Both restoring force and damping force.

• Restoring force, damping force and external periodic force.

The general solution of undamped oscillation is ( where the symbols have their usual meaning)

• 
• 
• 
• All the above

Restoring force, of a body executing oscillation, vanishes at

• mean position

• extreme position

• the midway between mean and extreme position.

• It depends on the type of oscillation..

The phase difference between the oscillations given by the equations ( see the image) is

• 0

• 
• 
• 

The angular frequency ( in rad/s), of the body executing oscillatory motion given by the equation, is

• 
• 
• 
• 1

Two simple harmonic oscillators of mass 12 gram and 48 gram oscillate separately under the action same restoring force. The ratio of their frequencies is

• 2:1

• 1:2

• 4:1

• 1:4

The total energy of 1-d simple harmonic oscillator is 1.2 erg. What is it's potential energy and kinetic energy at mean position respectively.

• 0.6 erg and 0.6 erg

• 0 and 1.2 erg

• 1.2 erg and 0

• 0.2 erg and 1 erg

A body of mass 1 Kg, executing SHM having potential energy 0.72 J at the extreme position. If amplitude of oscillation is 30 cm then it's time period is

• 3.14 sec

• 0.0628 sec

• 0.1256 sec

• 1.57 sec