wave_mechanics interference_and_superposition_of_waves Question 2

Question: When two sound waves with a phase difference of $ \pi /2 $ , and each having amplitude A and frequency $ \omega $ , are superimposed on each other, then the maximum amplitude and frequency of resultant wave is

[MP PMT 1989]

Options:

A) $ \frac{A}{\sqrt{2}}:\frac{\omega }{2} $

B) $ \frac{A}{\sqrt{2}}:\omega $

C) $ \sqrt{2}A:\frac{\omega }{2} $

D) $ \sqrt{2}A:\omega $

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Answer:

Correct Answer: D

Solution:

$ {A _{\max }}=\sqrt{A^{2}+A^{2}}=A\sqrt{2}, $ frequency will remain same i.e.

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