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

  • question_answer
    Escape velocity on earth is 11.2 km/s. What would be the escape velocity on a planet whose mass is 1000 times and radius is 10 times that of earth                [DCE 2001; DPMT 2004]

    A) 112 km/s

    B)               11.2 km/s

    C)             1.12 km/s

    D)               3.7 km/s

    Correct Answer: A

    Solution :

        \[\frac{{{v}_{p}}}{{{v}_{e}}}=\sqrt{\frac{{{M}_{p}}}{{{M}_{e}}}\frac{{{R}_{e}}}{{{R}_{p}}}}=\sqrt{(1000)\times \left( \frac{1}{10} \right)}=10\]             \[{{v}_{p}}=10\times 11.2=112\ km/s\]


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