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Question

A student is performing the experiment of resonance column. The diameter of the column tube is 6cm. The frequency of the tuning fork is 504Hz. Speed of the sound at the given temperature is 336ms-1. The zero of the meter scale coincides with the top end of the resonance column tube. The reading of the water level in the column when the first resonance occurs is:


A

13cm

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B

14.8cm

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C

16.6cm

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D

18.4cm

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Solution

The correct option is B

14.8cm


Step 1. Given data

Diameter of the column tube, d=6cm

Frequency of the tuning fork, f=504Hz

Velocity of the sound, v=336ms-1

Step 2. Finding the wavelength, λ

By using the formula,

λ=vf

λ=336504

λ=66.66cm

Step 3. Finding the reading of the water level, l

By using the formula,

l+e=λ4 [Where, e is the end correction whose value is 0.6×radius]

l+0.3d=66.664 [Where e=0.6×d2=0.3d]

l+0.3×6=16.66

l=14.8cm

Hence, the correct option is B.


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