An organ pipe `P_(1)` open at one end vibrating in its first harmonic and another pipe `P_(2)` open at ends vibrating in its third harmonic are in resonance with a given tuning fork. The ratio of the length of `P_(1)` to that `P_(2)` is

Options

A. `8//3`
B. `3//8`
C. `1//6`
D. `1//3`

Answer

C

Explanation

Given `(v)/(41_1)=(3v)/(2 1_2) implies (1_1)/(1_2)=1/6`