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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 a frequency 2f. If v be the velocity of sound then the velocity of the car, in the same velocity units will be
  • a)
    v/√2
  • b)
    v/3
  • c)
    v/4
  • d)
    v/2
Correct answer is option 'B'. Can you explain this answer?
Verified Answer
A car is moving towards a high cliff. The car driver sounds a horn of ...
When the sound is reflected from the diff, it approaches the driver of the car. Therefore, the driver acts as an observer and both the source (car) and observer are moving.
Hence, apparent frequency heard by the observer (driver) is given by
 ...(i)
Where, v = velocity of sound,
v0 = velocity of car = vs 
Thus, equn(i) becomes

⇒ 2v - 2v0 = v + v0
⇒ 3v0 = v
⇒ v0 = v/3
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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 a frequency 2f. If v be the velocity of sound then the velocity of the car, in the same velocity units will bea)v/√2b)v/3c)v/4d)v/2Correct answer is option 'B'. Can you explain this answer?
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