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

  • question_answer
    The escape velocity for the earth is 11.2 km/sec. The mass of another planet is 100 times that of the earth and its radius is 4 times that of the earth. The escape velocity for this planet will be   [MP PMT 1999; Pb. PMT 2002]

    A) 112.0 km/s

    B)               5.6 km/s

    C)             280.0 km/s

    D)               56.0 km/s

    Correct Answer: D

    Solution :

         Escape velocity \[v=\sqrt{\frac{2\,GM}{R}}\Rightarrow \frac{{{v}_{p}}}{{{v}_{e}}}=\sqrt{\frac{{{M}_{p}}}{{{M}_{e}}}\times \frac{{{R}_{e}}}{{{R}_{p}}}}\]             \[\Rightarrow \,\,{{v}_{p}}=5{{v}_{e}}=5\times 11.2=56\,\,km/s\]


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