JEE Main & Advanced Physics Gravitation / गुरुत्वाकर्षण Question Bank Critical Thinking

  • 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 earth's surface would   [IIT 1981; CPMT 1981; MP PMT 1996, 97;  Roorkee 1992; MP PET 1999; Kerala PMT 2004]

    A) Decrease by 2%          

    B)             Remain unchanged

    C)             Increase by 2%

    D)                       Increase by 1%

    Correct Answer: C

    Solution :

                    \[g=\frac{GM}{{{R}^{2}}}.\] If mass remains constant then \[g\propto \frac{1}{{{R}^{2}}}\] % increase in g = 2(% decrease in R) =2 × 1% = 2%.


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