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A tuning fork of frequency $340 H z$ is vibrated just above a cylindrical tube of length $120 c m$ . Water is slowly poured in the tube. If the speed of sound in air is $340 m / s$ . Find the minimum height (in cm) of water required for resonance.

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answer is D.

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Detailed Solution

$\begin{array}{l} v = n λ \\ λ = \frac{v}{n} = 1 = 100 cm \end{array}$
Resonating lengths are $= \frac{λ}{4}, \frac{3 λ}{4}, \frac{5 λ}{4} .......... = 25, 75, 125, . . . . . . c m$

$h_{m i n} = d - L_{m a x} = 120 - 75 = 45 c m$

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