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  • The length of an open organ pipe is twice the length of another closed organ pipe. The fundamental frequency of the open pipe is 100 Hz. The frequency of the third harmonic of the closed pipe is:</

The length of an open organ pipe is twice the length of another closed organ pipe. The fundamental frequency of the open pipe is 100 Hz. The frequency of the third harmonic of the closed pipe is:

Option: 1

100 Hz


Option: 2

200 Hz


Option: 3

300 Hz


Option: 4

150 Hz


Answers (1)

best_answer

Frequency 

        = \frac{v}{2l} = 100

Length of the closed organ pipe, 

L = \frac{l}{2}

In this pipe, the second harmonic will be absent. 

Frequency of the third harmonic = 3 times the frequency of the fundamental tone

                = 3 * \frac{v}{4L} = 3 * \frac{v}{2l} = 3 * 100 = 300 Hz

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