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Q.

Two friends are located at the same point on the circumference of a circular track of radius R. One friend starts cycling around the track with angular speed ω and simultaneously blowing a whistle of frequency f0. Assuming vs to be the speed of sound in air, the minimum frequency heard by the stationary friend is

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a

Infinite

b

f01+ωRVs

c

f01ωRVs

d

f0

answer is A.

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Detailed Solution

f=f01v1/vs1v2/vs,v1=0 and ν2 = - ωR

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Two friends are located at the same point on the circumference of a circular track of radius R. One friend starts cycling around the track with angular speed ω and simultaneously blowing a whistle of frequency f0. Assuming vs to be the speed of sound in air, the minimum frequency heard by the stationary friend is