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

  • question_answer
    If the increase in the kinetic energy of a body is 22%, then the increase in the momentum will be [RPET 1996; DPMT 2000]

    A)                 22%       

    B)                 44%

    C)                 10%

    D)                 300%

    Correct Answer: C

    Solution :

                        \[P=\sqrt{2mE}.\] If m is constant then                 \[\frac{{{P}_{2}}}{{{P}_{1}}}=\sqrt{\frac{{{E}_{2}}}{{{E}_{1}}}}=\sqrt{\frac{1.22E}{E}}\]Þ \[\frac{{{P}_{2}}}{{{P}_{1}}}=\sqrt{1.22}=1.1\]                 Þ\[{{P}_{2}}=1.1{{P}_{1}}\]Þ \[{{P}_{2}}={{P}_{1}}+0.1{{P}_{1}}={{P}_{1}}+10%\ \text{of }\ {{P}_{1}}\]                 So the momentum will increase by 10%


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