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Question: Answered & Verified by Expert
An open pipe is suddenly closed at one end with the result that the frequency 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 frequency of the open pipe is
PhysicsWaves and SoundNEET
Options:
  • A 200
  • B 300
  • C 240
  • D 480
Solution:
1667 Upvotes Verified Answer
The correct answer is: 200
Length of the organ pipe is same in both the cases. Fundamental frequency of open pipe is f 1 = v 2 l Frequency of third harmonic of closed pipe will be.

                   f 2 = 3 v 4 l

Given that, f 2 = f 1 + 1 0 0

or                f 2 - f 1 = 1 0 0

or                3 4 v l - 1 2   v l = 1 0 0 v 4 l = 1 0 0

                v 2 l  or  f 1 = 2 0 0  Hz

Therefore, fundamental frequency of the open pipe is 200 Hz.

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