Question
The difference between the apparent frequency of a source of sound as perceived by an observer during its approach and recession is 2% of the natural frequency of source. Find the velocity of source. Take the velocity of sound as 350m/s.
Solution
The apparent frequency of wave perceived by observer when source of sound approaches the observer is,
...(1)
The apparent frequency of wave perceived by observer when source of sound moves away from the observer is,
...(2)
Change in the frequency of wave received is,

[∵ u<<V]
Percentage change in frequency is,
It is given that the percentage change in frequency is 2%.
Therefore,
, is the velocity of the source.

The apparent frequency of wave perceived by observer when source of sound moves away from the observer is,

Change in the frequency of wave received is,



Percentage change in frequency is,

It is given that the percentage change in frequency is 2%.
Therefore,


