JEE Main & Advanced Physics Wave Mechanics Question Bank Critical Thinking

  • question_answer
    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 [IIT-JEE (Screening) 2003]                                        

    A)            33 m/s                                    

    B)            22 m/s

    C)            Zero                                         

    D)            11 m/s

    Correct Answer: B

    Solution :

                \[{{n}_{1}}\] = Frequency of the police car horn observer heard by motorcyclist                    \[{{n}_{2}}\] = Frequency of the siren heard by motorcyclist.                    v2 = Speed of motor cyclist                    \[{{n}_{1}}\] = \[\frac{330-v}{330-22}\times 176\,\,;\,\,{{n}_{2}}=\frac{330+v}{330}\times 165\]                    \[\because \] \[{{n}_{1}}-{{n}_{2}}=0\Rightarrow v=22\]\[m/s\].


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