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

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    A stationary particle explodes into two particles of a masses m1 and m2 which move in opposite directions with velocities \[{{v}_{1}}\] and \[{{v}_{2}}.\] The ratio of their kinetic energies \[{{E}_{1}}/{{E}_{2}}\]is                 [CBSE PMT 2003]

    A)                 \[{{m}_{1}}/{{m}_{2}}\]

    B)                 1

    C)                 \[{{m}_{1}}{{v}_{2}}/{{m}_{2}}{{v}_{1}}\]

    D)                    \[{{m}_{2}}/{{m}_{1}}\]

    Correct Answer: D

    Solution :

                        \[E=\frac{{{P}^{2}}}{2m}\] Þ \[E\propto \frac{1}{m}\] Þ \[\frac{{{E}_{1}}}{{{E}_{2}}}=\frac{{{m}_{2}}}{{{m}_{1}}}\]


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