The angular frequency of a spring block system is $\omega _0.$ This system is suspended from the ceiling of an elevator moving downwards with a constant speed $v_0.$ The block is at rest relative to the elevator. Lift is suddenly stopped. Assuming the downwards as a positive direction, choose the wrong statement :

  • A

    The amplitude of the block is $\frac{v_0}{\omega _0}$

  • B

    The initial phase of the block is $\pi .$

  • C

    The equation of motion for the block is $\frac{v_0}{\omega _0} \sin \omega _0\,t.$

  • D

    The maximum speed of the block is $v_0.$

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  • [AIIMS 2019]