CET Karnataka Engineering CET - Karnataka Engineering Solved Paper-2010

  • question_answer
    If the linear momentum of a body is increased by 50%, then the kinetic energy of that body increases by

    A) 100%                                    

    B) 125%

    C) 225%                                    

    D) 25%

    Correct Answer: B

    Solution :

    Kinetic energy of the body, \[K=\frac{{{p}^{2}}}{2m}\] Since, the mass remains constant \[\therefore \]                  \[K\propto {{p}^{2}}\]                 \[\frac{{{K}_{2}}}{{{K}_{1}}}=\frac{p_{2}^{2}}{p_{1}^{2}}={{\left[ \frac{150}{100} \right]}^{2}}=\frac{9}{4}\] \[100\left[ \frac{{{K}_{2}}}{{{K}_{1}}}-1 \right]=\left( \frac{9}{4}-1 \right)\times 100=125%\]


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