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Mechanical Properties Of Fluids

Question
CBSEENPH11020561

A train moving t a speed of 220 ms-1 towards a stationary object. emits a sound of frequency 1000 Hz. Some of the sound reaching the object gets reflected back to the train as echo. The frequency of the echo as detected by the driver of the train is
(speed of sound in air is 330 ms-1)

  • 3500 Hz

  • 4000 Hz

  • 5000 Hz

  • 3000 Hz

Solution

C.

5000 Hz

From Doppler's shift, we know for this case
straight n apostrophe space equals space straight n open parentheses fraction numerator straight v plus straight v subscript straight s over denominator straight v minus straight v subscript straight s end fraction close parentheses
space equals space 1000 open parentheses fraction numerator 330 plus 220 over denominator 330 minus 220 end fraction close parentheses
equals space 1000 open parentheses 550 over 110 close parentheses space equals space 5000 space Hz