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  4. The second overtone of an open organ pipe has the same frequency as the first overtone of a closed pipe L metre long. The length of the open pipe will be

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Q. The second overtone of an open organ pipe has the same frequency as the first overtone of a closed pipe $L$ metre long. The length of the open pipe will be

NEETNEET 2016Waves

Solution:

$\frac{3v}{2\ell_{0}} = \frac{3v}{4L}$
$ 2\ell_{0} = 4L $
$ \ell_{0} = 2L $