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

Question

In the figure, sound waves A and B, both of wavelength lambda, are initially in phase and travelling rightward, as indicated by the two rays. Wave A is reflected from four surfaces but ends up travelling in its original direction. Wave beta ends in the direction after reflecting from two surfaces. Let distance L in the figure be expressed as multiple q of lambda: L = q lambda. 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

part a )

to be out of phase , hteir path difference muse be (n+1/2)*lambda

path difference = 1.2L

1.2L = lambda/2

q = L/lambda = 0.417

part b )

for second smallest

1.2L = 3lambda/2

q = L/lambda

q = 1.25

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