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VMMC VMMC Medical Solved Paper-2010

  • question_answer
    The ratio of the accelerations due to gravity at the bottom of a deep mine and that on the surface of the earth is 978/980. Find the depth of the mine if the density of the earth is uniform throughout and the radius of the earth is 6300 km.

    A)  12.86 km

    B)                         13.0 km              

    C)         25.38 km            

    D)         90.9 km

    Correct Answer: A

    Solution :

    Ratio of acceleration due to gravity \[\frac{g}{g}=\frac{978}{980}=1-\frac{d}{R}\]                 or            \[\frac{d}{R}=1-\frac{978}{980}=\frac{2}{980}\] or            \[d=\frac{2R}{980}\]                 \[=\frac{2\times 6300}{980}\] \[=12.86\,km\]


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