In the figure, sound waves A and B , both of wavelength ? , are initially in pha

Question

In the figure, sound waves A and B, both of wavelength ?, are initially in phase and traveling rightward, as indicated by the two rays. Wave A is reflected from four surfaces but ends up traveling in its original direction. Wave B ends in that direction after reflecting from two surfaces. Let distance L in the figure be expressed as a multiple q of ?: L = q?. What are the (a) smallest and (b) second smallest values of q that put A and B exactly out of phase with each other after the reflections?

Explanation / Answer

for being out of phase

2L = (2n-1)?/2

a) smallest n = 1

L = ?/4

so q = 1/4

b)for second smallest n = 2

L = 3?/4

so q = 3/4

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