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

  • question_answer
     A planet has twice the radius but the mean density is \[\frac{1}{4}th\] as compared to earth. What is the ratio of escape velocity from earth to that from the planet                    [MH CET 2004]

    A) 3 : 1    

    B)             1 : 2

    C)             1 : 1    

    D)             2 : 1

    Correct Answer: C

    Solution :

                    \[v=R\sqrt{\frac{8}{3}\pi \rho G}\]Þ\[\frac{{{v}_{p}}}{{{v}_{e}}}=\frac{{{R}_{p}}}{{{R}_{e}}}\sqrt{\frac{{{\rho }_{p}}}{{{\rho }_{e}}}}\]=\[2\sqrt{\frac{1}{4}}=1\]


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