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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

1. 172 m/s
2. 500 m/s
3. 156 m/s
4. 344 m/s

Correct answer: 344 m/s

Solution

The difference between successive resonance lengths is 21.5 cm (31.25 - 9.75 cm), which corresponds to half the wavelength. Thus, the wavelength is 43 cm (0.43 m). Using the formula v = fλ, where f = 800 Hz and λ = 0.43 m, the speed of sound is v = 800 × 0.43 = 344 m/s.

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