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# Answer please! 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, then the fundamental frequency of open pipe is

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, then the fundamental frequency of open pipe is

• Option 1)

200 Hz

• Option 2)

300 Hz

• Option 3)

240 Hz

• Option 4)

480 Hz

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$\frac{3f}{2}- f=100\rightarrow given$

$\frac{f}{2}=100\Rightarrow f=200Hz$

The frequency in open organ pipe -

$\nu = n\cdot \frac{V}{2l}$

$n= 1,2,3.......$

- wherein

$V=$ velocity of sound wave

$l=$ length of pipe

$n=$ number of overtones

Option 1)

200 Hz

This is correct

Option 2)

300 Hz

This is incorrect

Option 3)

240 Hz

This is incorrect

Option 4)

480 Hz

This is incorrect

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