JEE Main & Advanced Physics Work, Energy, Power & Collision / कार्य, ऊर्जा और शक्ति Sample Paper Topic Test - Work Energy Power

  • question_answer
    A particle of mass m collides inelastically with another particle of mass 3m which is at rest. After the collision first particle comes to rest. Then choose the wrong answer

    A) coefficient of restitution between the particles is \[1/3\]

    B) loss of kinetic energy during collision is \[\left( 1/3 \right)m{{v}^{2}}\]

    C) velocity of second particle after collision is\[v/3\].

    D) all of these

    Correct Answer: D

    Solution :

    [d] From conservation of linear momentum velocity of second particle after collision would be \[\frac{V}{3}\] Coefficient of restitution is
    \[e=\frac{relative\,\,velocity\,\,ofseparation}{relative\,\,velocity\,\,of\,approach}=\frac{V/3}{V}=\frac{1}{3}\]Loss in kinetic energy
                \[=\frac{1}{2}v{{V}^{2}}-\frac{1}{2}(3m){{\left( \frac{V}{3} \right)}^{2}}=\frac{1}{3}m{{V}^{2}}\]

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