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

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75 cm

45 cm

25 cm

60 cm

answer is B.

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Detailed Solution

$f = n \frac{v}{4 L} w i t h n = 1, 3, 5......$

So length of air column in the pipe

$L = \frac{n v}{4 f} = 25 n c m w i t h n = 1, 3, 5......$

i.e., L=25 cm, 73cm, 125 cm

$∴ {(h)}_{\min} = 120 - 75 = 45 c m$

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