Question

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

Answer 1

Correct Answer - C
First harmonic of closed pipe = Third harmonic of open pipe
`:. (nu)/(4l) = 3 ((nu)/(2l_(2))) rArr :. I_(1)/(I_(2)) = (1)/(6)`