Two sources of sound S₁ and S₂ produce sound waves of same frequency 660 Hz. A listener is moving from source S₁ towards S₂ 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) 15.0 m/s (B) 10.0 m/s
(C) 5.5 m/s (D) 2.5 m/s
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Answer:
hey mate
Explanation:
maybe c) 5.5m/s
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The value of u equals 2.5m/s
n=660hz( given value of frequency )
1.v=330m/s( given value for speed of light )
u=?
Δn=10( no of beats per second)
2.n'=n(v-u/v±(0))( formula to calculate apparrent frequency)
n"=n(v+u/v±(0))
Δn=n(v+u/v)-n(v-u/v)(delta n = n"-n')
=n(2u/v)
n(2u/v)=10
therefore substituting values from given we get
3.u=10(330/2*660)=2.5m/s
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