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.
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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