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

  • question_answer
    The escape velocity of a planet having mass 6 times and radius 2 times as that of earth is [CPMT 1999; MP PET 2003; Pb. PET 2002]

    A)             \[\sqrt{3}\,{{V}_{e}}\]          

    B)             \[3\,{{V}_{e}}\]

    C)             \[\sqrt{2}\,{{V}_{e}}\]          

    D)             \[2\,{{V}_{e}}\]

    Correct Answer: A

    Solution :

                    \[\frac{{{v}_{p}}}{{{v}_{e}}}=\sqrt{\frac{{{M}_{p}}}{{{M}_{e}}}\times \frac{{{R}_{e}}}{{{R}_{p}}}}=\sqrt{6\times \frac{1}{2}}=\sqrt{3}\] \[\therefore \,\,\,{{v}_{p}}=\sqrt{3\,}{{v}_{e}}\]


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