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

  • question_answer
    The escape velocity of a body on an imaginary planet which is thrice the radius of the earth and double the mass of the earth is \[({{v}_{e}}\] is the escape velocity of earth)   [Kerala (Med.) 2002]

    A)             \[\sqrt{2/3}\,{{v}_{e}}\]

    B)               \[\sqrt{3/2}\,{{v}_{e}}\]

    C)             \[\sqrt{2}/3\,{{v}_{e}}\]

    D)               \[2/\sqrt{3}\,{{v}_{e}}\]

    Correct Answer: A

    Solution :

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


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