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

  • question_answer
    The mass of the earth is 81 times that of the moon and the radius of the earth is 3.5 times that of the moon. The ratio of the escape velocity on the surface of earth to that on the surface of moon will be        [MP PMT/PET 1998; JIPMER 2000]

    A) 0.2      

    B)             2.57

    C)             4.81    

    D)             0.39

    Correct Answer: C

    Solution :

         Escape velocity \[{{v}_{e}}=\sqrt{\frac{2GM}{R}}\] \ \[\frac{{{v}_{e}}}{{{v}_{m}}}=\sqrt{\frac{{{M}_{e}}{{R}_{m}}}{{{M}_{m}}{{R}_{e}}}}=\sqrt{\frac{81}{3.5}}=4.81\]


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