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An organ pipe closed at one end has fund...

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

5

B

6

C

4

D

7

Text Solution

Verified by Experts

The correct Answer is:
B
Let no. of overtone is n,
`therefore f _(n) = (2n +1) f _(1)`
where `f_(1)=` fundamental frequency
`20 kHz = (2n +1) 1.5 kHz`
`13.3 = 2n +1`
`therefore 13.3 -1 = 2n`
`therefore n = (12.3)/(2)`
`therefore n = 6.15`
`therefore n ~~6` overtone
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