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

Options

A. `8//3`
B. `3//8`
C. `1//2`
D. `1//3`

Answer

B

Explanation

` 3 xx (v)/( 4 l_(c)) = 4 xx (v)/( 2 lo) or (l_(c ))/(lo) = ( 3v)/( 4) xx (2)/( 4 v) = (3)/(8)`