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

  • question_answer
    Two bodies of different masses \[{{m}_{1}}\] and \[{{m}_{2}}\] have equal momenta. Their kinetic energies \[{{E}_{1}}\] and \[{{E}_{2}}\] are in the ratio                 [EAMCET 1990]

    A)                 \[\sqrt{{{m}_{1}}}:\sqrt{{{m}_{2}}}\]

    B)                    \[{{m}_{1}}:{{m}_{2}}\]

    C)                 \[{{m}_{2}}:{{m}_{1}}\]

    D)                 \[m_{1}^{2}:m_{2}^{2}\]

    Correct Answer: C

    Solution :

                        \[E=\frac{{{P}^{2}}}{2m}\] if bodies possess equal linear momenta then                 \[E\propto \frac{1}{m}\] i.e. \[\frac{{{E}_{1}}}{{{E}_{2}}}=\frac{{{m}_{2}}}{{{m}_{1}}}\]  


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