A train standing at the outer signal of a railway station blows a whistle of frequency 400 Hz still air.The train begins to move with a speed of 10 m s-1 towards the platform. What is the frequency of the sound for an observer standing on the platform?(sound velocity in air = 330 m s-1)

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2 Answers

Frequency of the sound for an observer standing on the platform 412.5Hz.

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Given: v0 = 400 Hz

Velocity of train, v1 = 10 m/s

Velocity of sound in air, va = 330 m/s

Apparent frequency when source is moving

vapp = \(\frac{v_a}{(v_a-v_t)}\)v0

= \(\frac{330\times400}{(330-10)}\) 

vapp = \(\frac{825}{2}\) = 412.5 Hz

vapp = 412.5 Hz

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