JEE Main & Advanced Physics Work, Energy, Power & Collision / कार्य, ऊर्जा और शक्ति Question Bank Conservation of Energy and Momentum

  • question_answer
    If the momentum of a body is increased by 100%, then the percentage increase in the kinetic energy is [BHU 1999; Pb. PMT 1999; CPMT 2000; CBSE PMT 2001; BCECE 2004]

    A)                 150%    

    B)                 200%

    C)                 225%    

    D)                 300%

    Correct Answer: D

    Solution :

                        \[E=\frac{{{P}^{2}}}{2m}\] Þ \[{{E}_{2}}={{E}_{1}}{{\left( \frac{{{P}_{2}}}{{{P}_{1}}} \right)}^{2}}\]\[={{E}_{1}}{{\left( \frac{2P}{P} \right)}^{2}}\]                 Þ \[{{E}_{2}}=4E=E+3E\]\[=E+300%\] of E


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