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Question

A source of frequency f0 is moving on a circular path of radius R at constant speed of 10 m/s. At distance 2R from center of circular path is placed a detector. Frequency received by detector is f. Then,
(take speed of sound as 330 m/s) 
  1. maximum value of f is 3332f0
  2. maximum value of f is less than 3332f0
  3. time interval between receiving maximum and minimum frequency is πR15.
  4. time interval between receiving maximum and minimum frequency is 2πR15.


Solution

The correct options are
A maximum value of f is 3332f0
C time interval between receiving maximum and minimum frequency is πR15.
D time interval between receiving maximum and minimum frequency is 2πR15.
sin(θ) = R2R θ = 30 and α = 60fmax = f0(330330  10)  = 3332f0By t= (angle travelled) Rvt1 = 2πR3×10 = πR15and t2 = (2π 2α)Rv = 4πR3v = 2πR15

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