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. `1/3`

Answer 1

Correct Answer - B
`3xx(v)/(4l_c)=4xx(v)/(2lo)` or `(l_c)/(lo)=(3v)/(4)xx(2)/(4v)=(3)/(8)`