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Two waves of lengths 50 cm and 51 cm produce 12 beats per sec. The velocity of sound is

1. 306 m/s
2. 331 m/s
3. 340 m/s
4. 360 m/s

Correct answer: 340 m/s

Solution

The beat frequency is given as 12 Hz, and the wavelengths are 50 cm (0.5 m) and 51 cm (0.51 m). Using the relation for wave velocity, v = fλ, the difference in frequencies is Δf = v(1/λ1 - 1/λ2). Solving for v gives 340 m/s.

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