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JIPMER Jipmer Medical Solved Paper-2000

  • 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 :

    A)  0.39                                      

    B)         4.81                      

    C)         2.57                                      

    D)         0.2

    Correct Answer: B

    Solution :

    The formula for escape velocity is \[{{v}_{es}}=\sqrt{\frac{2GM}{R}}\] hence \[\frac{{{\upsilon }_{es(e)}}}{{{\upsilon }_{es(m)}}}=\sqrt{\frac{{{M}_{e}}}{{{R}_{e}}}\times \frac{{{R}_{m}}}{{{M}_{m}}}}=\sqrt{\frac{81{{M}_{m}}}{3.5{{R}_{m}}}\times \frac{{{R}_{m}}}{{{M}_{m}}}}\]      \[=\sqrt{\frac{81}{3.5}}=4.81\]


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