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

ID: 799987 • Letter: I

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

A)

interference at lamda/ 2, 3 lambda /2 and 5 lamda /2


q = L/lamda = lmda/2lmda = 0.5


B)

at L= 3lamda /2

q = 3/2 = 1.5

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