JEE Main & Advanced Physics Work, Energy, Power & Collision / कार्य, ऊर्जा और शक्ति JEE PYQ - Work Energy Power and Collision

  • question_answer
    A moving particle of mass m, makes a head on elastic collision with another particle of mass 2m, which is initially at rest. The percentage loss in energy of the colliding particle on collision, is close to [JEE ONLINE 19-05-2012]

    A) 33%

    B) 67%

    C) 90%

    D) 10%

    Correct Answer: C

    Solution :

    [c] Fractional .decrease in kinetic energy of mass m
    \[=-1{{\left( \frac{{{m}_{2}}-{{m}_{1}}}{{{m}_{2}}+{{m}_{1}}} \right)}^{2}}=1-{{\left( \frac{2-1}{2+1} \right)}^{2}}\]
    \[=1-{{\left( \frac{1}{3} \right)}^{2}}=1-\frac{1}{9}=\frac{8}{9}\]
                Percentage loss in energy\[=\frac{8}{9}\times 100\simeq 90%\]


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