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 ultraviolet wave is approximately
 A. 10^{4}m
 B. 10^{6}m
 C. 10^{8}m
 D. 10^{10}m
 D. 10^{12}m


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



