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Q.

A sufficiently long closed organ pipe has a small hole at its bottom. Initially the pipe is empty. Water is poured into the pipe at a constant rate. The fundamental frequency of the air column in the pipe

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a

First increases and then becomes constant

b

First decreases and then becomes constant

c

Continuously decreases

d

Continuously increases

answer is B.

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Detailed Solution

Fundamental frequency of a closed pipe is given by f0=v4l
Here, v = speed of sound in air.
Length  l of air column will first decrease and then becomes constant (when rate of inflow = rate of outflow). Therefore, f0 will first increase and then become constant.

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