wave_mechanics organ_pipe_vibration_of_air_column Question 23

Question: If v is the speed of sound in air then the shortest length of the closed pipe which resonates to a frequency n

[KCET 2003]

Options:

A) $ \frac{v}{4n} $

B) $ \frac{v}{2n} $

C) $ \frac{2n}{v} $

D) $ \frac{4n}{v} $

Show Answer

Answer:

Correct Answer: A

Solution:

For shortest length of pipe mode of vibration must be fundamental i.e., $ n=\frac{v}{4l} $

Therefore $ l=\frac{v}{4n}.

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