RAJASTHAN PMT Rajasthan - PMT Solved Paper-2006

  • question_answer
    If kinetic energy is doubled, find fractional change in momentum :

    A)  \[\sqrt{2}\]                                       

    B)         \[2\sqrt{2}\]

    C)         \[\frac{1}{\sqrt{2}}\]                                    

    D)         \[\frac{1}{2\sqrt{2}}\]

    Correct Answer: A

    Solution :

    \[KE=\frac{{{p}^{2}}}{2\,\,m}\Rightarrow KE\propto {{q}^{2}}\] \[\Rightarrow \]\[\frac{{{p}_{2}}}{{{p}_{1}}}=\sqrt{\frac{K{{E}_{2}}}{K{{E}_{1}}}}=\sqrt{2}\]


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