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NEET AIPMT SOLVED PAPER SCREENING 2011

  • question_answer
    Out of the following functions representing motion of a particle which represents SHM I.             \[y=\sin \omega t-\cos \omega t\] II.            \[y={{\sin }^{3}}\omega t\] III.           \[y=5\cos \left( \frac{3\pi }{4}-3\,\omega t \right)\] IV.          \[y=1+\omega t+{{\omega }^{2}}{{t}^{2}}\]

    A)  Only (IV) does not represent SHM          

    B)  (I) and (III)

    C)  (I) and (II)

    D)  Only (I)

    Correct Answer: B

    Solution :

    For a simple harmonic motion \[\frac{{{d}^{2}}y}{d{{t}^{2}}}\propto -y\] Hence, equation \[y=\sin \omega t-\cos \omega t\]and \[y=5\cos \left( \frac{3\pi }{4}-3\omega t \right)\] are satisfying this condition and equation \[y=1+\omega t+{{\omega }^{2}}{{t}^{2}}\] is not periodic and \[y={{\sin }^{3}}\omega t\] is periodic but not SHM. Option (c) is correct.


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