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AMU Medical AMU Solved Paper-1996

  • question_answer
    A planet has its mass and radius twice that of earth. If the acceleration due to gravity on the surface of earth is\[{{g}_{e}}\]and that on the surface of the planet is\[{{g}_{p}},\]the ratio\[\frac{{{g}_{e}}}{{{g}_{p}}}\]is

    A)  \[1/2\]

    B)  \[\sqrt{{}}2\]

    C)  2

    D)  4

    Correct Answer: C

    Solution :

    : \[{{g}_{e}}=\frac{G{{M}_{e}}}{R_{e}^{2}}\] \[{{g}_{P}}=\frac{G{{M}_{P}}}{R_{l}^{2}}\] \[\therefore \] \[\frac{{{g}_{e}}}{{{g}_{p}}}=\frac{{{M}_{e}}}{{{M}_{p}}}\times {{\left( \frac{{{R}_{p}}}{{{R}_{e}}} \right)}^{2}}=\frac{{{M}_{e}}}{2{{M}_{e}}}\times {{\left( \frac{2{{R}_{e}}}{{{R}_{e}}} \right)}^{2}}\] \[\therefore \] \[\frac{{{g}_{e}}}{{{g}_{p}}}=\frac{2}{1}\]


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