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)/(4 l_(1)) = (3v)/(2 l_(2)) rArr (l_(1))/(l_(2)) = (1)/(6)`.