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A car is moving towards a high cliff. The car driver sounds a horn of frequency f. The reflected sound heard by the driver has frequency 2f. If v be the velocity of sound, then the velocity of the car, in the same velocity units, will be:

1. v/2
2. v/√2
3. v/3
4. v/4

Correct answer: v/2

Solution

The Doppler effect explains the frequency change. For the reflected sound to double the original frequency, the car's velocity must be v/2, as derived from the Doppler shift formula for a moving source and observer.

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