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VMMC VMMC Medical Solved Paper-2010

  • question_answer
    The maximum vertical distance through which a full dressed astronaut can jump on the earth is 0.5 m. Estimate the maximum vertical distance through which he can jump on the moon, which has a mean density 2/3rd that of the earth and radius one quarter that of the earth.

    A)  1.5 m   

    B)                         3 m

    C)  6 m                       

    D)         7.5 m

    Correct Answer: B

    Solution :

                                    On moon, \[{{g}_{m}}=\frac{4}{3}\pi G(R/4)(2\rho /3)\] \[=\frac{1}{6}\left( \frac{4}{3}\pi GR\rho  \right)=\frac{1}{6}g\]                 Work done is jumping                 \[=m\times {{g}_{m}}\times 0.5=m\times (g/6){{h}_{1}}\]                 \[{{h}_{1}}=0.5\times 6=3.0\,m\]


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