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