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A tuning fork of frequency 340 Hz is sounded above a cylindrical tube of 1 m high. Water is slowly poured into the tube. If the speed of the sound is $340 m s^{- 1},$ at what levels of water in the tube will the sound of the fork be appreciably intensified?

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25cm, 75 cm

20cm, 80cm

15cm, 85cm

17cm, 83cm

answer is A.

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Detailed Solution

Resonance, $c = f λ$

340=340(1) $λ = 1 m$

$\frac{λ}{4}, \frac{3 λ}{4}, \frac{5 λ}{4}, ....... = \frac{1}{4}, \frac{3}{4}, \frac{5}{4}$

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