Gravitation Question 331

Question: If the radius of the earth were to shrink by 1 %, with its mass remaining the same, the acceleration due to gravity on the earth’s surface would

Options:

A) Decrease by 1%

B) decrease by 2%

C) Increase by 1%

D) increase by 2%

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Answer:

Correct Answer: D

Solution:

  • As [g=GMR2]

    when radius is reduced by 1% then [R=RR100=.99R,]

    so [g=GM(.99R)2=1.02GMR2]

    %[increase=2] %



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