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AMU Medical AMU Solved Paper-2012

  • question_answer
    A body is projected vertically upward from the surface of the earth with a velocity equal to half the escape velocity. If R is radius of the earth, the maximum height attained by the body is

    A)  R/6                                       

    B)  R/3  

    C)  2R/3                                     

    D)  R

    Correct Answer: B

    Solution :

                    Maximum height attained by body                 \[h=R\left[ \frac{{{v}^{2}}}{v_{e}^{2}-{{v}^{2}}} \right]\]                                 \[h=R\left[ \frac{v_{e}^{2}/4}{v_{e}^{2}-\frac{v_{e}^{2}}{4}} \right]\]                                 \[=R\left[ \frac{v_{e}^{2}/4}{\frac{3v_{e}^{2}}{4}} \right]\]                                 \[h=\frac{R}{3}\]


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