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NEET Sample Paper NEET Sample Test Paper-79

  • question_answer
    The phase difference between the instantaneous velocity and instantaneous acceleration of a particle executor simple harmonic motion is

    A)  0                                

    B)  \[\pi /2\]

    C)  \[\pi \]                          

    D)  None of these

    Correct Answer: B

    Solution :

    Let \[\operatorname{x} - a sin\,\,\omega t\] \[v=\frac{dx}{dt}=a\omega \,cos\,\,\omega t\,\,=\,\,a\omega \,\sin \,\left( \omega t+\frac{\pi }{2} \right)\] \[a=\frac{{{d}^{2}}x}{d{{t}^{2}}}\] \[= \,\,- a{{\omega }^{2}}\,sin\,\omega t\] \[\therefore \] Phase difference between velocity and \[acceleration=\pi /2.\]


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