An organ pipe `P_(1)` closed at one end vibrating in its first harmonic and another pipe `P_(2)` open at both ends vibrating in its third harmonic are in resonance with a given tuning fork. The ratio of the length of `P_(1)` and `p_(2)` is
(a) `8//3` (b) `3//8` (c ) `1//6` (d) `1//3`

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)`.