A student is experimenting with resonance tube apparatus in Physics lab to find the speed of sound at room temperature. He got first two resonating lengths of air column as $17\, cm$ and $51 \,cm$, using tuning fork of frequency $512\, Hz$. Find speed of sound at room temperature ..... $m/s$
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$ \frac{\lambda}{4}=\ell_{1}+\mathrm{e} $ and $ \frac{3 \lambda}{4} =\ell_{2}+\mathrm{e} \Rightarrow \lambda=2\left(\ell_{2}-\ell_{1}\right) $
speed of sound $=\mathrm{n} \lambda=512 \times 2 \times 34 \times 10^{-2} $
$=348 \mathrm{\,m} / \mathrm{s} $
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