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AIIMS AIIMS Solved Paper-2014

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

    A) 1.5 m                                    

    B) 3 m 

    C) 6m                         

    D) 7.5 m

    Correct Answer: B

    Solution :

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


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