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NEET Sample Paper NEET Sample Test Paper-8

  • question_answer
    Two simple harmonic motions are represted by the equations \[{{Y}_{1}}=a\sin (nt+\pi /3)\] and \[{{Y}_{2}}=a\cos \pi t.\]The phase difference of velocity of particle 1 with respect to velocity of particle 2 is:

    A)  \[-\frac{\pi }{3}\]                  

    B)  \[\frac{\pi }{6}\]

    C)  \[-\frac{\pi }{6}\]                  

    D)  \[\frac{\pi }{3}\]

    Correct Answer: B

    Solution :

    The phase difference between the SHMS, \[\phi =\left( \frac{\pi }{2}+\pi t \right)-\left( \pi t+\frac{\pi }{3} \right)=\frac{\pi }{6}\]                 \[\left[ as,\,\,\cos \,\pi t=\sin \left( \pi t\pm \frac{\pi }{2} \right) \right]\]


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