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JEE Main & Advanced Physics Work, Energy, Power & Collision / कार्य, ऊर्जा और शक्ति Question Bank Self Evaluation Test - Work, Energy and Power

  • question_answer
    A collision occurs between two identical balls of mass m each, moving with velocity\[{{\overrightarrow{\mu }}_{1}}\,and\,{{\overrightarrow{\mu }}_{2}}\]. If the collision is head on and the energy lost in the collision is \[\Delta E=\frac{3}{16}{{({{\vec{u}}_{1}}-{{\vec{u}}_{2}})}^{2}}\] then the coefficient of restitution is

    A) 0.25

    B) 0.75  

    C) 0.5

    D) 0.9

    Correct Answer: C

    Solution :

    [c] Energy lost in the collision is \[\Delta E=\frac{1}{2}m{{u}^{2}}_{red}\left( 1-{{e}^{2}} \right)\] \[\therefore \frac{3}{16}{{\left( {{{\vec{u}}}_{1}}-{{{\vec{u}}}_{2}} \right)}^{2}}=\frac{1}{2}m{{u}^{2}}_{rel}\left( 1-{{e}^{2}} \right)\Rightarrow e=0.5\]


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