NEET Sample Paper NEET Sample Test Paper-18

  • question_answer
    A particle of mass m at rest is acted upon by a force F for a time t. Its Kinetic energy after an interval t is

    A) \[\frac{{{F}^{2}}{{t}^{2}}}{m}+6\]                 

    B) \[\frac{{{F}^{2}}{{t}^{2}}}{2m}\]

    C) \[\frac{{{F}^{2}}{{t}^{2}}}{3m}\]                    

    D) \[\frac{Ft}{2m}\]  

    Correct Answer: B

    Solution :

    \[K.E.=m{{v}^{2}}=\frac{1}{2}.\frac{{{m}^{1}}{{v}^{1}}}{m}=\frac{{{p}^{2}}}{2m}={{\left( \frac{Ft}{2m} \right)}^{2}}=\frac{{{F}^{2}}{{t}^{2}}}{2m}\] [\[\because \]Impulse = change in momentum] Hence, the correction option is [b].


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