IB Waves A - Properties, SHM

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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

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. π
  • B. π /2
  • C. π /4
  • D. π /8

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

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

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 top the centre
B the centre the top
C the top the top
D the centre the centre

 

The graph below shows the displacement x of the mass 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 /4 phase difference
  • C) π /2 phase difference
  • D) π phase difference
8. The frequency of this oscillation is
  • A) 0.25 Hz
  • B) 0.5 Hz
  • C) 2 Hz
  • D) 4 Hz