First slide

Doppler's effect

Question

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

Moderate

A

1.11 f
B

1.22 f
C

f
D

1.27 f

Solution

When source and listener both are moving towards each other then, the frequency heard
$n^{'} = n (\frac{v + v_{O}}{v - v_{S}}) \Rightarrow n^{'} = f (\frac{v + v / 10}{v - v / 10}) = 1 .22 f .$

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