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Manipal Medical Manipal Medical Solved Paper-2011

  • question_answer
    If the radius of the earth were to shrink by 1%, its mass remaining the same, the acceleration due to gravity on the earths surface would

    A)  decrease by 1%

    B) remain unchanged

    C)  increase by 1%

    D)  increase by 2%

    Correct Answer: D

    Solution :

     \[g=\frac{Gm}{{{R}^{2}}}\] \[\therefore \] \[g\propto \frac{1}{{{R}^{2}}}\] increase in value of \[g\] = 2 (% decrease in R) \[=2\times 1=2%\]


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