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Two sources of sound S(1) and S(2) produ...

Two sources of sound `S_(1)` and `S_(2)` produce sound waves of same frequency `660 Hz`. A listener is moving from source `S_(1)` towards `S_(2)` with a constant speed `u m//s` and he hears `10` beats/s. The velocity of sound is `330 m//s`. Then, `u` equals :

A

5.5m/s

B

15.0m/s

C

10.0m/s

D

2.5m/s

Text Solution

Verified by Experts

The correct Answer is:
D
`f_(1) = f_(0)((v-u)/(v))` and `f_(2) = f_(0)((v + u)/(v)) , f_(2)-f_(1) = (f_(0))/(v) 2 u` `rArr u = (v(f_(2)- f_(1)))/(2f_(0))` = `(330 xx 10)/(2 xx 660) = 2.5 m//s`
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