RAJASTHAN PMT Rajasthan - PMT Solved Paper-2001

  • question_answer
    If we increase kinetic energy of a body 300%, the per cent increase in its momentum is:

    A)  50 %                     

    B)         300 %

    C)  100 %                  

    D)         150 %

    Correct Answer: C

    Solution :

                                    \[{{P}^{2}}=2mE\] \[\therefore \]  \[P\propto \sqrt{E}\] \[\therefore \]\[\frac{{{P}_{1}}}{{{P}_{2}}}=\sqrt{\frac{{{E}_{1}}}{{{E}_{2}}}}=\frac{\sqrt{E}}{E+3E}=\frac{1}{2}\] \[{{P}_{2}}=2{{P}_{1}}\] Increase =\[\frac{{{P}_{2}}-{{P}_{1}}}{{{P}_{1}}}\times 100\]                            \[=\frac{2{{P}_{2}}-{{P}_{1}}}{{{P}_{1}}}\times 100=100%\]


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