JEE Main & Advanced JEE Main Paper (Held On 8 April 2017)

  • 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)  3h                                         

    B) \[\infty \]

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

    D) \[\frac{8}{3}h\]

    Correct Answer: A

    Solution :

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


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