RAJASTHAN PMT Rajasthan - PMT Solved Paper-2010

  • question_answer
    The diameters of two planets are in the ratio 4 : 1 and their mean densities in the ratio 1 : 2. The acceleration due to gravity on the planets will be in ratio

    A)  1 : 2                                      

    B)  2 : 3

    C)  2 : 1                      

    D)         4 : 1

    Correct Answer: C

    Solution :

    The gravity\[g=\frac{4}{3}G\pi R\rho \] The ratio of gravities on the planet                 \[\frac{{{g}_{1}}}{{{g}_{2}}}=\frac{{{\rho }_{1}}{{R}_{1}}}{{{\rho }_{2}}{{R}_{2}}}\]                 \[\frac{{{g}_{1}}}{{{g}_{2}}}=\frac{1}{2}\times \frac{4}{1}=\frac{2}{1}\]


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