Q. A vehicle with horn of frequency is moving with a velocity of in a direction perpendicular to the line joining the observer and the vehicle. The observer perceives the sound to have a frequency . If the sound velocity in air is , then.

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Solution:

Given : Actual frequency of horn Apparent frequency perceived by observer

Velocity of vehicle
Velocity of sound in air
Doppler's effect of sound is valid only if source and observer are both in relative motion.
As the source is moving in a direction perpendicular to the straight line which joins the observer hence, there is no relative motion between them.
Therefore, Doppler's effect will not occur.
Thus,