An open and closed organ pipe have the same length the ratio pth mode of frequency of vibration of air in two pipe is

Options

A. 1
B. p
C. `p(2p+1)`
D. `(2p)/((2p-1))`

Answer

B

Explanation

For open pipe, `upsilon=p(v)/(2L)`
For closed pipe, `upsilon.=(2p-1)(v)/(4L)`
`therefore (upsilon)/(upsilon.)=(p(v)/(2L))/((2p-1)(v)/(4L))=(2p)/((2p-1))`