A closed organ pipe and an open organ pipe are tuned to the same fundamental frequency . The ratio of their lengths is :

Options

A. ` 1: 1`
B. ` 2 : 1`
C. ` 1 : 4`
D. ` 1 : 2`

Answer

D

Explanation

Fundamental frequency of closed pipe, `n_1 = (v)/(4l_1)`
Fundamental frequency of open pipe, `n_2 = (v)/(2l_2) `
But ` " " n_1= n_2`
` therefore " " (l_1)/(l_2) = (1)/(2)`