A pipe open at both ends has a fundamental frequency f in air. The...

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: A pipe open at both ends has a fundamental frequency f in air. The pipe is dipped vertically in water so that half of

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

Options

A $2f$
B $f$
C $\dfrac{f}{2}$
D $\dfrac{3f}{4}$

Correct answer

B. $f$

Step-by-step solution

f = \dfrac{v}{2l}

{f}^{′} = \dfrac{v}{4{l}^{′}} = \dfrac{v}{4\left(\dfrac{l}{2}\right)} = f

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