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. 14
B. 13
C. 6
D. 9

Answer

C

Explanation

Human ear can hear frequencies upto 20,000 Hz.So for closed pipe,
Overtime,`v=(nv)/(4L)=nxx"fundamental frequency"`
`therefore20,000=nxx1500impliesn=13`.
Maximum possible harmonics obtained
1,3,5,7,9,11,13……
Therefore one can hear maximum upto `13^(th)`harmonics overtone=7-1=6.