First slide

Beats

Question

Two sound waves of wavelengths 5m and 6m formed 30 beats in 3 seconds. The velocity of sound is

Moderate

A

300 ms^–1
B

310 ms^–1
C

320 ms^–1
D

330 ms^–1

Solution

No of beats, x = $Δn = \frac{30}{3} = 10 Hz$
$\Rightarrow$ Also = $Δn = v [\frac{1}{λ_{1}} - \frac{1}{λ_{2}}] = v [\frac{1}{5} - \frac{1}{6}] = 10 \Rightarrow v = 300 m / s$

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