A student performs a resonance-column experiment using a tube of diameter 4 cm and a tuning fork of frequency 512 Hz. At 38°C the speed of sound is 336 m s⁻¹. The zero of the metre scale coincides with the top of the tube. Find the water-level reading at first resonance.
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Question

A student performs a resonance-column experiment using a tube of diameter 4 cm and a tuning fork of frequency 512 Hz. At 38°C the speed of sound is 336 m s⁻¹. The zero of the metre scale coincides with the top of the tube. Find the water-level reading at first resonance.

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G1 Physics · Accepted Answer

For first resonance, effective length L+e = λ/4. Here λ = v/f = 336/512 = 0.65625 m = 65.625 cm. With end correction e ≈ 0.3d = 1.2 cm, L ≈16.406−1.2 = 15.2 cm. Correct answer: B.