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JIPMER Jipmer Medical Solved Paper-2002

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

    A)  five                                      

    B)  four                     

    C)  three                   

    D)         two

    Correct Answer: C

    Solution :

    Equation gives executing periodic motion is \[y=4{{\cos }^{2}}\left( \frac{t}{2} \right)\sin \,(1000\,t)\] or            \[y=2\cos \left( \frac{t}{2} \right)\sin \left[ \left( 1000t+\frac{t}{2} \right) \right.\]                                   \[\left. -\,\sin \left( 1000t-\frac{t}{2} \right) \right]\] It is superposition of three independent harmonic motion.


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