(a) Defend the following statement: "In a sinusoidal sound wave, the pressure variation given by Eq. (16.4) is greatest where the displacement given by Eq. (16.1) is zero."
(b) For a sinusoidal sound wave given by Eq. (16.1) with amplitude A = 10.0µ1m and wave length A = 0.250 in, graph the displacement y and pressure fluctuation p as functions of x at time t = 0. Show at least two wavelengths of the wave on your graphs.
(c) The displacement yin a nonsinusoidal sound wave is shown in Fig. 16.42 as a function of x for t = 0. Draw a graph showing the pressure fluctuation p in this wave as a function of x at t = 0. This sound wave has the same 10.0-µlm amplitude as the wave in part (b). Does it have the same pressure amplitude? Why or why not?
(d) Is the statement in part (a) necessarily true if the sound wave is not sinusoidal? Explain your reasoning.

Transcribed Image Text:

y (um) 10.0 0.250 0.500 x (m) 0- 0.375 0.125 -10.0