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)
A
maximum value of f is 3332f0.
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B
maximum value of f is less than 3332f0.
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C
time interval between receiving maximum and minimum frequency is πR15.
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D
time interval between receiving maximum and minimum frequency is 2πR15.
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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∘andα=60∘fmax=f0(330330−10)=3332f0Byt=(angletravelled)Rvt1=2πR3×10=πR15andt2=(2π−2α)Rv=4πR3v=2πR15