1
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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 6Critical 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=(2N−1)v4l=(2N−1)n1, where n1 is the fundamental frequency of vibration. ⟹N=7.165≈7 For a closed pipe, number of overtones = (number of mode of vibration) - 1 ⟹ number of overtones =6

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