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Q.

A pipe 30 cm long is open at both ends. The speed of sound in air is  330ms-1 . Which harmonic mode of the pipe resonates at 1.1 kHz source?

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a

Second harmonic

b

Fifth harmonic

c

First harmonic

d

Third harmonic

answer is C.

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Detailed Solution

In an open organ pipe, the frequency of its nth harmonic is
vn=nv2L, where n=1,2,3,(1)
Given, l =30 cm=0.3 m and v = 330 ms-1.

Substituting the given values in Eq. (i), we get
1.1×103=n×3302×0.3=n×3300.6
n = 2

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A pipe 30 cm long is open at both ends. The speed of sound in air is  330ms-1 . Which harmonic mode of the pipe resonates at 1.1 kHz source?