A sufficiently 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

Engineering

Physics

SHM of Simple Pendulum

Basics of Simple Harmonic Motion

Standing Wave on String

Question

A sufficiently 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

continuously increasing

first increases and them becomes constant

continuously decreases

first decreases and them become constant

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In a closed organ pipe, the fundamental frequency is given by $f = \frac{v}{4 L}$ , where v is the speed of sound and L is the length of the air column. Initially, the pipe is empty, so L is at its maximum, and the frequency is at its minimum. As water is poured in at a constant rate, the length L of the air column decreases. Since frequency is inversely proportional to L, the fundamental frequency will continuously increase as the water level rises.

Final answer: continuously increasing