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A train moving at 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 m/s):

  1. 3500 Hz
  2. 4000 Hz
  3. 5000 Hz
  4. 3000 Hz

Correct answer: 4000 Hz

Solution

The Doppler effect is applied twice here: first, the stationary object acts as a listener, and then as a source reflecting the sound back to the moving train. Using the Doppler formula, the frequency detected by the object is 1500 Hz, and the frequency of the echo detected by the train is 4000 Hz.

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