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The length of an open organ pipe is twi...

The length of an open organ pipe is twice the length of another closed organ pipe. The fundamental frequency of the open pipe is 100 Hz . The frequency of the thrid harmonic of the closed pipe is

A

100 Hz

B

200 Hz

C

300 Hz

D

150 Hz

Text Solution

Verified by Experts

The correct Answer is:
C
Frequency of the fundamental tone of the open organ pipe
` (v)/(2l) ` [v = velocity of sound, l = length of the pipe]
`:. (v) /(2l) = 100`
Length of the closed organ pipe ` L = (l)/(2)` Frequency of the third harmonic
= 3 times the frequency of the fundamental tone
` = 3 * (v)/(4L) = 3* (v)/(2l) = 3 xx 100 = 200 Hz`
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