The Difference Between The Apparent Frequencies Of A Source Of Sound As Perceived By An Observer During Its Approach And Recession Is 2% Of The Actual Frequency Of The Source. If The Speed Of Sound In Air Is 300 Ms–1, The Speed Of The Source Is

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Question

The difference between the apparent frequencies of a source of sound as perceived by an observer during its approach and recession is 2% of the actual frequency of the source. If the speed of sound in air is 300 ms–1, the speed of the source is

Solution

Correct option is

3 ms–1

 

The apparent frequencies during approach and during recession respectively are

                          

Since             is very small compared to V, it follows that us < < v

Thus Eq. (i) reduces to 

                     

Testing

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