Question 107: Waves

Question

The first overtone frequency of an open organ pipe is equal to the fundamental frequency of a closed organ pipe. If the length of the closed organ pipe is 20 cm. The length of the open organ pipe is _____________ cm.

Accepted Answer

$$2 	imes \left( {{V \over {2{L_0}}}} ight) = \left( {{V \over {4{L_c}}}} ight)$$
$$ \Rightarrow {L_0} = 4{L_c}$$
$$ = 4 	imes 20$$
$$ = 80$$ cm

Waves

The first overtone frequency of an open organ pipe is equal to the fundamental frequency of a closed organ pipe. If the length of the closed organ pipe is 20 cm. The length of the open organ pipe is _____________ cm.

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