1
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Question

# An organ pipe closed at one end has 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 A 6We know that fundamental frequency of closed organ pipe, f=V4Lwhere, V= velocity of wave and L= length of pipe.It is given that fundamental frequency, f=1500 HzMaximum frequency a human can hear =20000 HzEquating nth frequency, f′=(2n+1)V4l where n is overtone.We get (2n+1)1500=20000So, 2n+1 = 20000/1500 = 13.33As 2n+1 is an integer, so 2n+1=13So, we get n=6

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