SAT Waves A - Properties, SHM

page 1

 

1. Simple harmonic motion (SHM) is defined as motion where

  • A. the velocity is proportional to the displacement, directed away from the centre of motion
  • B. the velocity is proportional to the acceleration, directed towards the centre of motion
  • C. the acceleration is proportional to the velocity, directed away from the centre of motion
  • D. the acceleration is proportional to the displacement, directed towards the centre of motion
  • E. the acceleration is proportional to the force applied, but in the opposite direction.

The graphs show a progressive (travelling) transverse wave at a particular point in time. Points P and Q on the wave are moving in a direction perpendicular to the wave. The wave is moving left to right in the diagram.

 

2. P and Q are out of phase by (in radians)

  • A. 2π
  • B. π
  • C. 3π / 4
  • D. π / 2
  • E. π / 4

3. The subsequent motion of the two points will be:

  • A. Q stays stationary, P moves up
  • B. P moves up, Q moves down
  • C. Q moves up, P moves down
  • D. Both points move upwards
  • E. Both points move downwards
4. In a sound wave regions of high pressure are compressions, and regions of low pressure are called
  • A. depressions
  • B. decompressions
  • C. isobars
  • D. expansions
  • E. rarefactions
5. The wavelength of an ultra-violet wave is approximately
  • A. 10-4m
  • B. 10-6m
  • C. 10-8m
  • D. 10-10m
  • D. 10-12m

A mass oscillates on a spring as shown, performing simple harmonic motion (SHM).

 

Oleg Alexandrov http://commons.wikimedia.org/

 

6. Which of these answers gives the points of maximum velocity and acceleration?

  Velocity maximum at ... Acceleration maximum at..
A the center the top
B the top the center
C the top the bottom
D the center the center
E the bottom the bottom

 

The graph below shows the displacement x of the mass on the spring shown above, at a time t.

 

 
7. What will be the phase difference between this graph and a graph showing the velocity of the mass?
  • A) In phase
  • B) π / 2 phase difference
  • C) π / 4 phase difference
  • D) π / 8 phase difference
  • E) π phase difference
8. The frequency of this oscillation is
  • A) 0.25 Hz
  • B) 0.5 Hz
  • C) 1 Hz
  • D) 2 Hz
  • E) 4 Hz

9. At the point where the mass is at the top of the oscillation, which of the following statements are true?

I The system has maximum gravitational potential energy
II The system has zero kinetic energy
III The system has maximum elastic energy

 

  • A) I only
  • B) III only
  • C) I and II only
  • D) II and III only
  • E) all 3 statements are true
10. The total energy of the system is
  • A) maximum at the top of the oscillation
  • B) maximum at the midpoint of the oscillation
  • C) maximum at the bottom of the oscillation
  • D) always zero
  • E) always constant