JEE Main & Advanced Physics Gravitation / गुरुत्वाकर्षण Question Bank Acceleration Due to Gravity

  • 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                            [ISM Dhanbad 1994]

    A) 1 : 2    

    B)             2 : 3

    C)             2 : 1    

    D)             4 : 1

    Correct Answer: C

    Solution :

                    \[g=\frac{4}{3}G\pi R\rho \]\[\Rightarrow \,\frac{{{g}_{1}}}{{{g}_{2}}}=\frac{{{\rho }_{1}}{{R}_{1}}}{{{\rho }_{2}}{{R}_{2}}}\]\[=\frac{1}{2}\times \frac{4}{1}=\frac{2}{1}\]


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