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Question

Physics Question on doppler effect

A train is moving with a speed of 10m/s10 m/s towards a platform and blows a horn with frequency 400Hz400 Hz. Find the frequency heard by a passenger standing on the platform. Take speed of sound = 310m/s310 m/s.

A

405 Hz

B

425 Hz

C

380 Hz

D

413 Hz

Answer

413 Hz

Explanation

Solution

The correct option is (D): 413 Hz
f=f[(vv0)(vvs)]f' = f[\frac{(v-v0)}{(v-vs)}]
f=400[(3100)(31010)]f' = 400[\frac{(310-0)}{(310-10)}]
f=43(310)Hzf' = \frac{4}{3}(310)Hz
f413Hzf' ≃ 413 Hz