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Question

An organ pipe, closed at one end has a fundamental frequency of 1500 Hz. The maximum number of overtones generated by this pipe, which a normal person can hear is

A
14
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B
13
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C
6
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D
9
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Solution

The correct option is C 6
Critical hearing frequency for a person is 20,000Hz.
If a closed pipe is vibrating in Nth mode, then frequency of vibration is going to be

n=(2N1)v4l=(2N1)n1, where n1 is the fundamental frequency of vibration.

N=7.1657

For a closed pipe,
number of overtones = (number of mode of vibration) - 1
number of overtones =6

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