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CET Karnataka Medical CET - Karnataka Medical Solved Paper-2002

  • question_answer
    A body is projected vertically upwards from the surface of a planet of radius R with a velocity equal to half the escape velocity for that planet. The maximum height attained by the body is:

    A)  R/2

    B)  R/3

    C)  R/5

    D)  R/4

    Correct Answer: B

    Solution :

    \[u={{\upsilon }_{e}}/2,{{\upsilon }_{e}}=\]escape velocity of body for that planet \[{{h}_{\max }}=\frac{{{u}^{2}}}{{{2}_{g}}}R=\] radius of planet \[=\frac{\upsilon _{e}^{2}}{u\times 2g}\]g= acceleration due to gravity at that planet. \[=\frac{2Rg}{u\times 2g}{{\upsilon }_{e}}=\sqrt{2Rg}\] \[{{h}_{\max }}=R/4\]


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