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  4. An organ pipe open at both ends in the nth harmonic is in resonance with a source of frequency 1000 Hz. The length of pipe is 16.6 cm and speed of sound in air is 332 m / sec. Find the value of n. Empty Qlmg

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Q. An organ pipe open at both ends in the nth harmonic is in resonance with a source of frequency $1000 \,Hz$. The length of pipe is $16.6\,cm$ and speed of sound in air is $332\, m / sec$. Find the value of $n$. Empty Qlmg

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Solution:

$f =\frac{n.v}{2l}$
$\Rightarrow 1000=\frac{n\times332}{2\times16.6\times10^{-2}}$
$\Rightarrow 10=\frac{n\times332}{33.2} \Rightarrow n=1$