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

Answer

B

Explanation

For the `p^(th) ` mode of closed and open pipes,
`n_(c) = ((2rho - 1)V)/(4L) " and " n_(o) = (pV)/(2L) `
` :. n_(o)/n_(c) = (pV)/(2L) xx (4L)/((2p - 1)V) = (2p)/((2p - 1)) `