Question
Show that when source moves towards the stationary observer, the apparent increase in frequency is more than the apparent decrease in frequency if the source moves away from the source with same speed.
Solution
Let a source of sound be emitting the waves of frequency v.
Let V be the velocity of sound.
The apparent frequency of wave received by observer when source moves with velocity u is,
[moves towarads source]
[moves away from source]
∴
...(1)
and
...(2)
Hence the result.
Let V be the velocity of sound.
The apparent frequency of wave received by observer when source moves with velocity u is,


∴

and




Hence the result.