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Q.

A tunning fork of frequency 340 Hz resonates in the fundamental mode with an air column of length 125 cm in a cylindrical tube closed at one end. When water is slowly poured in it, the minimum height of water required for observing resonance once again is ____________ cm. (Velocity of sound in air is 340 ms-1)

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answer is 50.

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Detailed Solution

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Assumption : Ignore word “fundamental mode” in question.

λ=Vf=340340=1m

First resonating length =λ4=25cm

Second resonating length =3λ4=75cm

Third resonating length =5λ4=125cm

Height of water required =125−75=50cm

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