Question

An organ pipe `P_1` closed at one 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
A. `8//3`
B. `3//8`
C. `1//2`
D. `3//2`

Answer 1

Correct Answer - B
`3n_c = 4n_0`
`(3v)/(4l_c) = (4v)/(3l_0) therefore l_c/l_0 = 6/16 = 3/8`