An organ pipe closed at one end has fundamental frequency of `1500hz`. The maximum number of overtones generated by the pipe which is normal person can hear is

Options

A. 4
B. 12
C. 6
D. 9

Answer

C

Explanation

We know that the man can hear the frequencies upto 20,000 Hz.
The frequency of closed pipe
`v=n(v/(4l))`
`v=nx` fundamental frequency
`20000=nxx1500`
`n=13`
Hence maximum possible harminics obtained are
`=1,3,5,7,9,11,13`
Thus, the man can hear up to 13th harmonic `=7-1=6`
So, number of overtones heard `=6`