The frequency of vibrating air column in closed organ pipe is n. If it length be boubled and radius halved. Its frequency will be nearly :

Options

A. `(n)/(2)`
B. `4n`
C. n
D. `2n`

Answer

A

Explanation

For a closed organ pipe,
`n=(v)/(4L) rArr n prop (1)/(L)`
If `L=2L`
Then `n' prop (1)/(2L)`
`(n')/(n')=(L)/(2L)`
(or) `n'(n)/(2)`
Radius has no effect on frequency.