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Listener and Source Moving

Two sound sou...

Question

Two sound sources are moving in opposite directions with velocities v₁and v₂(v₁ > v₂). Both are moving away from a stationary observer along same line. The frequency of both the sources is 900 Hz. What is the value of v₁- v₂so that the beat frequency observed by the observer is 6 Hz. Speed of sound is v = 300 m/s. Given that v₁ and v₂ << v

1 m/s

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2 m/s

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3 m/s

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4 m/s

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Solution

The correct option is B
2 m/s

$f_{1} = 900 \frac{v}{v + v_{1}} and f_{2} = 900 \frac{v}{v + v_{2}} and △ f = 6$

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