First slide

Standing waves

Question

An open organ pipe of length L resonates at fundamental frequency with closed organ pipe. Find the length of closed organ pipe.

Easy

A

2L
B

$\frac{L}{2}$
C

$L \sqrt{2}$
D

$\frac{L \sqrt{3}}{2}$

Solution

$f_{0} = f_{c} \Rightarrow \frac{v}{2 L} = \frac{v}{4 L_{c}} \Rightarrow L_{c} = \frac{L}{2}$

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