An organ pipe closed at one end has fundamental frequency of `500 Hz`. The maximum number of overtones generated by this pipe which a normal person can hear is

Options

A. `14`
B. `13`
C. `6`
D. `9`

Answer

C

Explanation

Audible frequency `= (20 - 20, 000 Hz)`
`f_(1) = 1500 Hz, f_(max) = 20,000 Hz`
`f_(max) = (2k+1)f_(1)`, `k`: constant of overtones
`20000 = (2k+1) xx 1500`
`k = 6.16`
Maximum number of overtones `= 6`