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RAJASTHAN PMT Rajasthan - PMT Solved Paper-2011

  • question_answer
    Assume the earth to be a sphere of radius R. If g is the acceleration due to gravity at any point on the earths surface, the mass of the earth is

    A) \[\frac{gR}{G}\]                                               

    B) \[\frac{{{g}^{2}}{{R}^{2}}}{G}\]

    C) \[\frac{g{{R}^{2}}}{G}\]                                

    D)        \[\frac{{{g}^{2}}R}{G}\]

    Correct Answer: C

    Solution :

    We know that                 \[g=\frac{Gm}{{{R}^{2}}}\] or            \[m=\frac{g{{R}^{2}}}{G}\]


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