A train is moving towards a stationary observer with speed 34 m/s. A train sounds a whistle of frequency 450 Hz. If the speed of sound is 340 m/s, the frequency heard by the observer in Hz is

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TestHub · Accepted Answer

Using the Doppler effect formula for a source moving towards a stationary observer:

$f^{'} = f (\frac{v}{v - v _{s}})$

Substituting the given values:

$f^{'} = 450 (\frac{340}{340 - 34})$

$f^{'} = 450 (\frac{340}{306})$

$f^{'} = 450 \times \frac{10}{9}$

$f^{'} = 500$ Hz

Answer: $500$

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