Wave Mechanics Question 1109

Question: The first overtone in a closed pipe has a frequency

[JIPMER 1999]

Options:

A) Same as the fundamental frequency of an open tube of same length

B) Twice the fundamental frequency of an open tube of same length

C) Same as that of the first overtone of an open tube of same length

D) None of the above

Show Answer

Answer:

Correct Answer: D

Solution:

First overtone for closed pipe = $ \frac{3v}{4l} $ Fundamental frequency for open pipe = $ \frac{v}{2l} $ First overtone for open pipe = $ \frac{2v}{2l} $ .