Sound WavesHard

Question

An open pipe is suddenly closed at one end with the result that the frequncy of third harmonic of the closed pipe is found to be higher by 100 Hz than the fundamental frequency of the open pipe. The fundamental frequncy of the open pipe is

Options

A.200
B.300
C.240
D.480

Solution

Length of organ pipe is same in both the case. Fundamental frequency of open is f1 = and Frequency of third harmonic of closed pipe will be f2 = 3 Given that, f2 = f1 + 100
or     f2 - f1 = 100
or     
∴     or f1 = 200Hz.
Therefore, fundamental frequency of the open pipe is 200 Hz.

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