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BCECE Engineering BCECE Engineering Solved Paper-2014

  • question_answer
    The radii of two planets are respectively \[{{R}_{1}}\]   and \[{{R}_{2}}\] and their densities are \[{{\rho }_{1}}\] and \[{{\rho }_{2}}\]. Ratio of the accelerations due to gravity at their surfaces is  

    A) \[\frac{{{R}_{1}}}{{{R}_{2}}}.\frac{{{\rho }_{1}}}{{{\rho }_{2}}}\]

    B) \[\frac{{{R}_{2}}}{{{R}_{1}}}.\frac{\rho _{1}^{2}}{{{\rho }_{2}}}\]

    C) \[\frac{{{R}_{1}}}{{{R}_{2}}}.\frac{{{\rho }_{2}}}{\rho _{1}^{2}}\]                               

    D) \[1:1\]

    Correct Answer: A

    Solution :

    \[g=\frac{4}{3}\pi \rho GR\] \[\therefore \]  \[\frac{{{g}_{1}}}{{{g}_{2}}}=\frac{{{R}_{1}}{{\rho }_{1}}}{{{R}_{2}}{{\rho }_{2}}}\]


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