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NEET Sample Paper NEET Sample Test Paper-43

  • question_answer
    A particle is moving in a circular path of constant radius r such that its centripetal acceleration is varying with time t, and is proportional to\[r{{t}^{2}}\]. The power delivered to the particle by the force acting on it will be proportional to-

    A) \[r{{t}^{2}}\]         

    B)     \[rt\]

    C) \[{{r}^{2}}t\]              

    D) \[r/t\]

    Correct Answer: C

    Solution :

    \[\frac{{{v}^{2}}}{r}=r{{t}^{2}}\Rightarrow v=rt\] \[P=\overset{\to }{\mathop{F}}\,\,\,.\,\,\overset{\to }{\mathop{v}}\,\,=\left( \frac{mdv}{dt} \right)v\] \[=(mr)rt\] \[P\,\propto \,{{r}^{2}}t\]


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