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A pipe of 30 cm long and open at both th...

A pipe of 30 cm long and open at both the ends produces harmonics. Which harmonic mode of pipe resonates a 1.1 kHz source ?
Given speed of sound in air `=330 ms^(-1)`.

A

Fifth harmonic

B

Fourth harmonic

C

third harmonic

D

Second harmonic

Text Solution

Verified by Experts

The correct Answer is:
D
Fundamental frequency in an open organ pipe is
`v = (v)/(2l) = (330)/(2 xx (30)/(100)) = (3300)/(6) `
= `550` Hz.
Let frequency of nth harmoonic resonantes with 1.1 kHz.
n.v = 1100
n = `(1100)/(550) = 2 `.
so correct choice is d .
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