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Q.

A closed pipe is suddenly opened and changed to an open pipe of same length. The fundamental frequency of the resulting open pipe is less than that of 3^rdharmonic of the earlier closed pipe by 55Hz. Then, the value of fundamental frequency of the closed pipe is.

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a

55 Hz

b

165 Hz

c

100 Hz

d

220 Hz

answer is C.

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Detailed Solution

$\frac{3 V}{4 l} - \frac{V}{2 l} = 55 n_{c} = \frac{V}{4 l}$

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A closed pipe is suddenly opened and changed to an open pipe of same length. The fundamental frequency of the resulting open pipe is less than that of 3rd harmonic of the earlier closed pipe by 55Hz. Then, the value of fundamental frequency of the closed pipe is.