JEE Main & Advanced Physics Wave Mechanics Question Bank Self Evaluation Test - Oscillations

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

    A) \[\pi \]

    B) 0.707\[\pi \]

    C) zero

    D) 0.5\[\pi \]

    Correct Answer: D

    Solution :

    [d] Let\[y=A\,\sin \omega t\] \[{{v}_{inst}}=\frac{dy}{dt}=A\omega \,\cos \,\omega t=A\omega \,\sin (\omega t+\pi /2)\] Acceleration=\[=-A{{\omega }^{2}}\sin \,\omega t=A{{\omega }^{2}}\sin (\pi +\omega t)\] \[\therefore \,\phi =\frac{\pi }{2}=0.5\pi \]


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