Manipal Medical Manipal Medical Solved Paper-2013

  • question_answer
    The displacement of a particle executing periodic motion is given by \[y=4{{\cos }^{2}}\left( \frac{t}{2} \right)\sin 1000\,\omega t.\] This expression may be considered to be a result of superposition of

    A)  two waves          

    B)  three waves

    C)  four waves          

    D)  five waves

    Correct Answer: B

    Solution :

     \[y=4{{\cos }^{2}}(t/2)\sin (10\omega t)\] \[=2[2{{\cos }^{2}}(t/2)\sin (10\omega t)]\] \[=2[(1+\cos t)\sin (10\omega t)]\] \[=2\sin (10\omega t)+2\sin (10\omega t)\cos t\] \[=2\sin (10\omega t)+\sin (10\omega t)+\sin (999t)\]


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