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NEET Sample Paper NEET Sample Test Paper-26

  • question_answer
    The potential energy of a particle of mass \[0.1kg,\]moving along X-axis is given by \[U=5X\,(X-4),\] here U is in joules and X is in m. Which of the following is incorrect?

    A)  The particle is acted upon by a variable force.

    B)  The speed of particle is maximum at \[X=2m\].

    C)  The minimum potential energy during the motion is\[20J\].

    D)  The period of oscillation of the particle is \[\pi /5s\].

    Correct Answer: C

    Solution :

    As,\[f=-\frac{dV}{dX}=-5(2\times 4)\] at mean position \[f=0,\,\,X=2m\] \[{{U}_{\min }}=-20J\] as \[F\propto X\] and \[K=10N/m\] \[\Rightarrow \]               \[T=\frac{\pi }{5}S\] (Note that U to be minimum when), \[\frac{dU}{dX}=0\]


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