wave_mechanics organ_pipe_vibration_of_air_column Question 35

Question: The stationary wave $ y=2a\sin kx\cos \omega t $ in a closed organ pipe is the result of the superposition of $ y=a\sin (\omega t-kx) $ and

[Roorkee 1994]

Options:

A) $ y=-a\cos (\omega t+kx) $

B) $ y=-a\sin (\omega t+kx) $

C) $ y=a\sin (\omega t+kx) $

D) $ y=a\cos (\omega t+kx) $

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Answer:

Correct Answer: B

Solution:

In closed organ pipe.

If $ y _{incident}=a\sin (\omega t-kx) $ then $ y _{reflected}=a\sin (\omega t+kx+\pi )=-a\sin (\omega t+kx) $ Superimposition of these two waves give the required stationary wave.



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