Wave Mechanics Question 651

Question: 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) ½

D) 1/3

Show Answer

Answer:

Correct Answer: B

Solution:

[b] $ 3\times \frac{v}{4l _{c}}=4\times \frac{v}{2l _{0}}or\frac{l _{c}}{l _{0}}=\frac{3v}{4}\times \frac{2}{4v}=\frac{3}{8} $