Two open organ pipes of length $25 cm$ and $25.5 cm$ produce $10$ beat/sec. The velocity of sound will be ..... $m/s$
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$n = {n_1} - {n_2}$
$ \Rightarrow 10 = \frac{v}{{2{l_1}}} - \frac{v}{{2{l_2}}}$
$ = \frac{v}{2}\left[ {\frac{1}{{{l_1}}} - \frac{1}{{{l_2}}}} \right]$
$ \Rightarrow 10 = \frac{v}{2}\left[ {\frac{1}{{0.25}} - \frac{1}{{0.255}}} \right]$
$ \Rightarrow v = 255\,m/s$
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