Physics-
General
Easy

Question

A police car moving at 22 m/s, chases a motorcyclist. The police man sounds his horn at 176 Hz, while both of them move towards a stationary siren of frequency 165 Hz. Calculate the speed of the motorcycle, if it is given that he does not observes any beats

  1. 33 m/s    
  2. 22 m/s    
  3. Zero    
  4. 11 m/s    

The correct answer is: 22 m/s


    n subscript 1 end subscript = Frequency of the police car horn observer heard by motorcyclist
    n subscript 2 end subscript = Frequency of the siren heard by motorcyclist.
    v2 = Speed of motor cyclist
    n subscript 1 end subscript = fraction numerator 330 minus v over denominator 330 minus 22 end fraction cross times 176 semicolon n subscript 2 end subscript equals fraction numerator 330 plus v over denominator 330 end fraction cross times 165
    because n subscript 1 end subscript minus n subscript 2 end subscript equals 0 rightwards double arrow v equals 22 m divided by s.

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