A source emitting a sound of frequency v is placed at a large distance from an observer. The source stats moving towards the observer with a uniform acceleration a. Find the frequency heard by the observer corresponding to the wave emitted just after the source starts. The speed of sound in the medium is u.

The given acceleration is a.


Now,







Let us assume the initial distance is s.


At time T the total distance covered,




Given that the speed of the wave is u.


Now, time taken to travel the path from source to listener at t=0 is,



Similarly, when the source is at xT,



Hence, the time period will be,




Now,





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