NEET Sample Paper NEET Sample Test Paper-51

  • question_answer 3) A charged particle of mass m and charge q is released from rest in a uniform electric field E. Neglecting the effect of gravity, the kinetic energy of the charged particle after 't' second is-

    A) \[\frac{E{{q}^{2}}m}{2{{t}^{2}}}\]              

    B) \[\frac{2{{E}^{2}}{{t}^{2}}}{mq}\]

    C) \[\frac{{{E}^{2}}{{q}^{2}}{{t}^{2}}}{2m}\]          

    D) \[\frac{Eqm}{t}\]

    Correct Answer: C

    Solution :

    \[{{E}_{k}}=\frac{1}{2}m{{v}^{2}}\,=\,\,\frac{1}{2}m\,{{\left( \frac{qE}{m}t \right)}^{2}}\,\,=\,\,\frac{{{q}^{2}}{{E}^{2}}{{t}^{2}}}{2m}\] \[v=at=\frac{qE}{m}t\]

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