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Q.

Two sources of sound S1   and   S2 are at some distance apart. A person is at some point between S1   and   S2  on the line joining them. Each of the sources emits sound with frequency  f0. The source  S1 starts moving away from the person with velocity vn  and the source  S2 starts moving towards the listener with velocityvn.  If velocity of sound in air is V, find the beat frequency heard by the person.

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a

fon2+1

b

fon2−1

c

2nfon2−1

d

4nfon2−1

answer is C.

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Detailed Solution

f1 = Apparent frequency heard by the person due to the sound emitted by S1=f01+v/nv  =  nf0n+1f2  = Apparent frequency heard by the person due to the sound emitted by  S2=f01-v/nv  =  nf0n−1∴fb= Beat frequency = f2−f1= nf0n−1−nf0n+1=2nf0n2−1
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