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Question

A student is performing the experiment of Resonance Column. The diameter of the column tube is 4cm. The frequency of the tuning fork is 512Hz. The air temperature is 38oC in which the speed of sound is 336m/s. The zero of the meter scale coincides with the top end of the Resonance Column tube. When the first resonance occurs, the reading of the water level in the column is

A
14.0 cm
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B
15.2 cm
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C
16.4 cm
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D
17.6 cm
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Solution

The correct option is B 15.2 cm
We know that: v=fλ

λ=vf=33600512=65.6cm/s
Also, L+e=λ4

Therefore, L=λ4e
16.41.2=15.2

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