STUDY GUIDE 1, SELF TEST 3

Department of Physics, University of Guelph.

Select the Question or Part you wish

1. A wave has the equation y = 4 sin (3p t - 6p x) (SI units)

(a) Is the wave travelling in the +x or - x direction?

(b) What are the: amplitude, period, wavelength,wave-vector, frequency, angular frequency (all with units)?

(c) Sketch the graph of this wave at t = 0.900 s.

(d) Sketch the graph of the displacement vs. time at a position x = 0.400 m.

2. The incident wave in problem 1 and the reflected wave y = -4 sin (3p t + 6p x) produce a standing wave.

(a) Write the equation of the standing wave.

(b) Sketch the standing wave at:

(i) t = 0 s

(ii) t = T/4 s

(iii) t = 3/15 s

3. An incident wave y = -4sin(3p t - 6p x) and a reflected wave y = 4 sin(3p t + 6p x) produce a standing wave. What is the equation?

4. A standing wave of equation y = -6cos 6t sin 4x is formed from a reflected wave moving in the +x direction, and an incident wave moving in the -x direction. What are the equations of the incident and reflected waves?

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