First slide

Stationary waves

Question

The first overtone in a closed pipe has a frequency

Easy

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

Solution

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

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