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 traveling rightward, as indicated by the two rays. Wave A is reflected from four surfaces but ends up traveling in its original direction. Wave 8 ends in that direction after reflecting from two surfaces. Let distance L in the figure be expressed as a 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? (a) Number Unit (b) Number Unit

Explanation / Answer

Ans:-

{5.4q+ 4*(/2)} - {1.8q + 2*(/2)} = p(/2), where p is an odd number or
3.6q + = p(/2) or
7.2q + 2 = p or 7.2q + 2 = p or q = [(p-2)/7.2] for p = 3, q = 1/7.2
you can find other values by taking p = 3, 5, 7, and so on

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