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  4. A tuning fork with frequency 800 Hz produces resonance in a resonance column tube with upper end open and lower end closed by water surface. Successive resonance are observed at length 9.75 cm, 31.25 cm and 52.75 cm. The speed of sound in air is :

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Q. A tuning fork with frequency $800\, Hz$ produces resonance in a resonance column tube with upper end open and lower end closed by water surface. Successive resonance are observed at length $9.75\, cm$, $31.25\, cm$ and $52.75\, cm$. The speed of sound in air is :

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Solution:

Here $\lambda = 2 (l_2 - l_1)$
where $l_1 = 9.75\,cm, l_2 = 31. 25\,cm$
so $v = 2n(l_2 - l_1) \times 800(31.25 - 9.75) $
$= 344 \,m/s$