JEE Main & Advanced Physics Gravitation / गुरुत्वाकर्षण Question Bank Gravitation Potential

  • question_answer
    There are two planets. The ratio of radius of the two planets is K but ratio of acceleration due to gravity of both planets is g. What will be the ratio of their escape velocity      [BHU 2005]

    A)             \[{{(Kg)}^{1/2}}\]

    B)               \[{{(Kg)}^{-1/2}}\]

    C)             \[{{(Kg)}^{2}}\]      

    D)             \[{{(Kg)}^{-2}}\]

    Correct Answer: A

    Solution :

                    \[v=\sqrt{2gR}\]\\[\frac{{{v}_{1}}}{{{v}_{2}}}=\sqrt{\frac{{{g}_{1}}}{{{g}_{2}}}\times \frac{{{R}_{1}}}{{{R}_{2}}}}=\sqrt{g\times K}\]= \[{{(Kg)}^{1/2}}\]


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