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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
    Mass \[{{m}_{1}}\] strikes m which is at rest. The ratio of masses for which they will collide again (collision between ball and wall are elastic, coefficient of restitution between \[{{\operatorname{m}}_{1}} and {{m}_{2}}\]is e and all the surfaces are smooth.)           

    A) \[<\frac{e}{2+e}\]

    B) \[>\frac{2e}{2+e}\]

    C) \[\ge \frac{e}{2\left( 2+e \right)}\]

    D) None of the above

    Correct Answer: A

    Solution :

    [a] \[{{\operatorname{m}}_{1}}v=-{{m}_{1}}{{v}_{1}}+{{m}_{2}}{{v}_{2}}\] \[e=\frac{2{{v}_{1}}}{v}\] for limiting condition \[\frac{{{m}_{1}}}{{{m}_{2}}}<\frac{e}{2+e}\]


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