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Question: A source and listener are both moving towards each other with speed v/10 where v is the speed of sou...

A source and listener are both moving towards each other with speed v/10 where v is the speed of sound. If the frequency of the note emitted by the source is f, the frequency heard by the listener would be nearly

A

1.11 f

B

1.22 f

C

f

D

1.27 f

Answer

1.22 f

Explanation

Solution

n=(v+vLvvs)nn' = \left( \frac{v + v_{L}}{v - v_{s}} \right)nn=(v+v10vv10)nn' = \left( \frac{v + \frac{v}{10}}{v - \frac{v}{10}} \right)nn=119fn' = \frac{11}{9}f = 1.22 f.