A pipe open at both ends has a fundamental frequency f in air. The pipe is dipped vertically in water, so that half of it is in water. The fundamental frequency of the air column is now

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A pipe open at both ends has a fundamental frequency f in air. The pipe is dipped vertically in water, so that half of it is in water. The fundamental frequency of the air column is now

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$\frac{f}{2}$

$\frac{3 f}{4}$

answer is D.

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Detailed Solution

$f = \frac{V}{2 ℓ}, In water f^{'} = \frac{V}{\frac{4 ℓ}{2}} = f$

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