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Apparent Frequency:Source Moving

A person P is...

Question

A person P is 600 m away from the station when train is approaching station with 72 km/h, it blows a whistle of frequency 800 Hz when 800 m away from the station. Find the frequency heard by the person. speed of sound = $340 m s^{- 1}$

A

800 Hz

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B

839.5 Hz

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C

829.5 Hz

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D

843.5 Hz

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Solution

The correct option is A 839.5 Hz
$f_{a p p} = \frac{v}{v - v_{s} c o s θ} f$
$= \frac{340}{340 - 16} \times 800 = 839.5 H z$

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