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

  • question_answer
    An object is dropped from a height h from the ground. Every time it hits the ground it looses 50% of its kinetic energy. The total distance covered as \[t\to \infty \]is [JEE Online 08-04-2017]

    A) 2h

    B) \[\infty \]

    C) \[\frac{5}{3}h\]

    D) None of these

    Correct Answer: D

    Solution :

    [d] \[\frac{1}{2}mv{{'}^{2}}=\frac{1}{2}\frac{1}{2}m{{v}^{2}}\]
                \[v'=\frac{v}{\sqrt{2}}\]                       \[v=eu\]
                \[e=\frac{1}{\sqrt{2}}\]
                \[H=\lambda \left( \frac{1+{{e}^{2}}}{1-{{e}^{2}}} \right)\]
                \[=h\left( \frac{1+\frac{1}{2}}{1-\frac{1}{2}} \right)=3h\]


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