Two open organ pipes give $4$ beats/sec when sounded together in their fundamental nodes. If the length of the pipe are $100 cm$ and $102.5 cm$ respectively, then the velocity of sound is ..... $m/s$
Medium
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(b )$\Delta n = {n_1} - {n_2}$
$ \Rightarrow 4 = \frac{v}{{2{l_1}}} - \frac{v}{{2{l_2}}}$
$ = \frac{v}{2}\left[ {\frac{1}{{1.00}} - \frac{1}{{1.025}}} \right]$
$ \Rightarrow 8 = [1 - 0.975]$
$ \Rightarrow V = \frac{8}{{0.025}} \approx 328\,m/s.$
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