Asufficiently long close organ pipe has a small hole at its botto… - Vidyadip

MCQ

Asufficiently long close 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

A
continuously increasing
✓
first increases and them becomes constant
C
continuously decreases
D
first decreases and them become constant

✓

Answer

Correct option: B.

first increases and them becomes constant

b
In the beginning level of water will increase in the pipe and we know for a closed organ pipe,

$f=\frac{v}{4 L}$

As the water level increases $L$ length of air column decreases, hence frequency increases. But after some time when incoming water supply will be equal to the outgoing water. the length of air column will be constant. hence frequency will not change.

option $"B"$ is correct.

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