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

  • question_answer
    Two bodies A and B having masses in the ratio of 3 : 1 possess the same kinetic energy. The ratio of their linear momenta is then                                             [Haryana CEE 1996]

    A)                 3 : 1       

    B)                 9 : 1

    C)                 1 : 1       

    D)                 \[\sqrt{3}:1\]

    Correct Answer: D

    Solution :

                        \[P=\sqrt{2mE}\]\ \[\frac{{{P}_{1}}}{{{P}_{2}}}=\sqrt{\frac{{{m}_{1}}}{{{m}_{2}}}}\] (if E = constant)                 \ \[\frac{{{P}_{1}}}{{{P}_{2}}}=\sqrt{\frac{3}{1}}\]


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