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Organ Pipes & Resonance Tube question from NEET 2019

Q102NEET 2019Medium

Organ Pipes & Resonance Tube

A tuning fork with frequency 800 Hz produces resonance in a resonance column tube with upper end open and lower end closed by water surface. Successive resonance are observed at lengths 9.75 cm, 31.25 cm and 52.75 cm. The speed of sound in air is,

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Answer: (d)

Successive resonances differ by $\frac{\lambda}{2}$ : $31.25 - 9.75 = 21.5$ cm.
$\lambda = 43$ cm $= 0.43$ m
$v = n\lambda = 800 \times 0.43 = 344$ m/s
So the answer is (d) 344 m/s.

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