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A police in a siren car moving with a velocity 20 ms^(-1) chases a thief who is moving in a car with a velocity v_(0)ms^(-1). The police car sounds at frequency 300 Hz, and both of them move towards a stationary siren of frequency 400 Hz. Calculate the speed in which thief is moving. (Assume the thief does not observe any beat).

Answer» <html><body><p></p>Solution :The velocity of car`=<a href="https://interviewquestions.tuteehub.com/tag/20-287209" style="font-weight:bold;" target="_blank" title="Click to know more about 20">20</a> ms^(-1)` <br/> The frequency of car = 300 Hz <br/> The frequency stationary siren = 400 Hz <br/> The speed in which thief <a href="https://interviewquestions.tuteehub.com/tag/moving-548882" style="font-weight:bold;" target="_blank" title="Click to know more about MOVING">MOVING</a> = ? <br/> `V_(1) = 300((330-V_(0))/(330-20))` <br/> `V_(<a href="https://interviewquestions.tuteehub.com/tag/2-283658" style="font-weight:bold;" target="_blank" title="Click to know more about 2">2</a>) = 400((330 + V_(0))/330)` <br/> Both are moving towards stationary siren <br/> `<a href="https://interviewquestions.tuteehub.com/tag/therefore-706901" style="font-weight:bold;" target="_blank" title="Click to know more about THEREFORE">THEREFORE</a> V_(1) =V_(2)` <br/> `300((330-V_(0))/(310)) = 400 (((330 + V_(0)))/(330))` <br/> Simpliying, we <a href="https://interviewquestions.tuteehub.com/tag/get-11812" style="font-weight:bold;" target="_blank" title="Click to know more about GET">GET</a> `V_(0) = 36.99 ms^(-1)`.</body></html>


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