Wave Mechanics Question 1115

Question: The fundamental note produced by a closed organ pipe is of frequency $ f. $ The fundamental note produced by an open organ pipe of same length will be of frequency

[BHU 2001]

Options:

A) $ \frac{f}{2} $

B) $ f $

C) $ 2f $

D) $ 4f $

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Answer:

Correct Answer: C

Solution:

$ {n _{\text{closed}}}=\frac{v}{4l},{n _{\text{open}}}=\frac{v}{2l} $

Therefore $ {n _{\text{open}}}=2{n _{\text{closed}}}=2f $