# Oscillations - Chapter No 14

Right Answers have been shown below in red color.

1. In simple harmonic motion, the restoring force must be proportional to the:

A. amplitudeB. frequencyC. velocityD. displacementE. displacement squared

2. An oscillatory motion must be simple harmonic if:

A. the amplitude is smallB. the potential energy is equal to the kinetic energyC. the motion is along the arc of a circleD. the acceleration varies sinusoidally with timeE. the derivative, dU/dx, of the potential energy is negative

3. In simple harmonic motion, the magnitude of the acceleration is:

A. constantB. proportional to the displacementC. inversely proportional to the displacementD. greatest when the velocity is greatestE. never greater than g

4. A particle is in simple harmonic motion with period T. At time t = 0 it is at the equilibrium point. Of the following times, at which time is it furthest from the equilibrium point?

A. 0.5TB. 0.7TC. TD. 1.4TE. 1.5T

5. A particle moves back and forth along the x axis from x = −x_{m} to x = +x_{m}, in simple harmonic motion with period T. At time t = 0 it is at x = +x_{m}. When t = 0.75T:

A. it is at x = 0 and is traveling toward x = +x_{m}B. it is at x = 0 and is traveling toward x = −x_{m}C. it at x = +x_{m}and is at restD. it is between x = 0 and x = +x_{m}and is traveling toward x = −x_{m}E. it is between x = 0 and x = −xm and is traveling toward x = −xm

6. A particle oscillating in simple harmonic motion is:

A. never in equilibrium because it is in motionB. never in equilibrium because there is always a forceC. in equilibrium at the ends of its path because its velocity is zero thereD. in equilibrium at the center of its path because the acceleration is zero thereE. in equilibrium at the ends of its path because the acceleration is zero there

7. An object is undergoing simple harmonic motion. Throughout a complete cycle it:

A. has constant speedB. has varying amplitudeC. has varying periodD. has varying accelerationE. has varying mass

8. When a body executes simple harmonic motion, its acceleration at the ends of its path must be:

A. zeroB. less than gC. more than gD. suddenly changing in signE. none of these

9. A particle is in simple harmonic motion with period T. At time t = 0 it is halfway between the equilibrium point and an end point of its motion, traveling toward the end point. The next time it is at the same place is:

A. t = TB. t = T /2C. t = T /4D. t = T /8E. none of the above

10. An object attached to one end of a spring makes 20 complete oscillations in 10 s. Its period is:

A. 2 HzB. 10 sC. 0.5 HzD. 2 sE. 0.50 s

11. An object attached to one end of a spring makes 20 vibrations in 10 s. Its frequency is:

A. 2 HzB. 10 sC. 0.05 HzD. 2 sE. 0.50 s

12. An object attached to one end of a spring makes 20 vibrations in 10 s. Its angular frequency is:

A. 0.79 rad/sB. 1.57 rad/sC. 2.0 rad/sD. 6.3 rad/sE. 12.6 rad/s

13. Frequency f and angular frequency ω are related by

A. f = πωB. f = 2πωC. f = ω/πD. f = ω/2πE. f = 2ω/π

13. Frequency f and angular frequency ω are related by

A. f = πωB. f = 2πωC. f = ω/πD. f = ω/2πE. f = 2ω/π

14. A block attached to a spring oscillates in simple harmonic motion along the x axis. The limits of its motion are x = 10 cm and x = 50 cm and it goes from one of these extremes to the other in 0.25 s. Its amplitude and frequency are:

A. 40 cm, 2 HzB. 20 cm, 4 HzC. 40 cm, 2 HzD. 25 cm, 4 HzE. 20 cm, 2 Hz

15. A weight suspended from an ideal spring oscillates up and down with a period T. If the amplitude of the oscillation is doubled, the period will be:

A. TD. 1.5TB. 2TC. T /2E. 4T

16. In simple harmonic motion, the magnitude of the acceleration is greatest when:

A. the displacement is zeroB. the displacement is maximumC. the speed is maximumD. the force is zeroE. the speed is between zero and its maximum

17. In simple harmonic motion, the displacement is maximum when the:

A. acceleration is zeroB. velocity is maximumC. velocity is zeroD. kinetic energy is maximumE. momentum is maximum

18. In simple harmonic motion:

A. the acceleration is greatest at the maximum displacementB. the velocity is greatest at the maximum displacementC. the period depends on the amplitudeD. the acceleration is constantE. the acceleration is greatest at zero displacement

19. The amplitude and phase constant of an oscillator are determined by:

A. the frequencyB. the angular frequencyC. the initial displacement aloneD. the initial velocity aloneE. both the initial displacement and velocity

20. Two identical undamped oscillators have the same amplitude of oscillation only if:

A. they are started with the same displacement x_{0}B. they are started with the same velocity v_{0}C. they are started with the same phaseD. they are started so the combination ω2x_{0}^{2 }+ v_{0}^{2 }is the sameE. they are started so the combination x^{2 }+ ω2v_{0}^{2}is the same