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Apparent Frequency:Source Moving

A car moves a...

Question

A car moves at speed 15 $m / s$ towards the man and produces a sound of 480 $H z. T$ he man also starts running at a speed of 5 $m / s$ and approaches the car along the same road. What frequency does the man hear? (Velocity of sound = 345 $m / s$ )

A

509

H z

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B

460

H z

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C

430

H z

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D

409

H z

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Solution

The correct option is A 509 $H z$
$f_{a p p} = f_{o} {\frac{v + v_{L}}{v - v_{s}}}$
$= 480 {\frac{345 + 5}{345 - 15}} = 480 \times \frac{350}{330}$ = 509 $H z$

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