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Question

Physics Question on Waves

The frequency of echo will be _______ Hz if the train blowing a whistle of frequency 320 Hz is moving with a velocity of 36 km/h towards a hill from which an echo is heard by the train driver. Velocity of sound in air is 330 m/s.

Answer

vs=36×518\frac{36\times5}{18}=10 m/sec
The frequency that reaches the hill will reflect, and this will act as a source to the driver of the train.
The apparent frequency that reaches the hill =33033010\frac{330}{330-10}(320)=330Hz, this will act as a source for the driver.
Apparent frequency heard by the driver in train =330+10330\frac{330+10}{330}(330)=340 Hz