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. `1:2`
B. `1:3`
C. `3:4`
D. `3:8`

Answer 1

Correct Answer - D
`n_1/n_2 = (3n_c)/(4n_0) = 3(v)/(4l_c) xx(2l_0)/(4v)`
`8/3 = l_0/l_c`
`therefore l_c/l_0 = 3/8`