14. Oscillations

The relation between velocity amplitude v, the displacement amplitude A and the angular frequency w of SHM is

• periodic but not simple harmonic.

• non-periodic.

The total energy of a simple harmonic oscillator is proportional to

• square of the displacement.

• square root of amplitude.

• amplitude.

•  square of amplitude.

Which of the following statements is/are true for a simple

harmonic oscillator?

• Force acting is directly proportional to displacement from the mean position and is directed towards mean position.

• Motion is non-periodic.

• Acceleration of the oscillator is constant.

• The velocity is constant.

A spring of force constant k is cut into two equal parts, which are then connected in parallel to each other. The force constant of the combination is

• 4k

• 2k

• k

• k/2

For a SHM the x-t graph is given. The acceleration-time graph for the same is

• 
• 
• 
• 

A spring pendulum and a simple pendulum have time periods 2 s and 3 s, respectively, on the surface of the Earth. These pendulums are then taken to the surface of the Moon, then

• Time period of both the pendulum is same on the surface of the Moon.

• Time period of the spring pendulum on the surface of the Moon is 2 s and the time period of the simple pendulum is more than 3 s on the surface of the Moon.

• Time period of the spring pendulum is same as on the surface of the Moon but the time period of the simple pendulum is less than on the surface of the Moon.

• Both the pendulums have same type of oscillations on the Moon as on the surface of the Earth.

During the phenomenon of resonance

•  the amplitude of oscillation becomes large.

• the frequency of oscillation becomes large.

• the time period of oscillation becomes large.

• all of these.

A uniform ring of radius r is pivoted about an axis pass- ing through O on the circumference of the ring and perpendicular to the plane of ring. The time period of small oscillation is

A particle which is impressed by two SHMs given by x₁ = acoswt and x₂ = asinwt, then the resultant motion

will have an amplitude of

• 2a

• 0