Sound waves of wavelength 5m and 6m produces 30 beats in 3sec the velocity of sound is..?
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The velocity of sound is 300 m/s.
Explanation:
- By using wave equation
f1 = v / λ
- We are given
λ1 = 5 m
λ2 = 6 m
SO
- Beat Frequency = 30/3 = 10 Hz (1)
But Beat Frequency = | f1 - f2 | (2)
Since fλ = v
Now
f1 = v/5
f2 = v/6
from (1) and (2)
|v/5 - v/6| = 10
v = 300 m/s
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