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Physics Gravitation Acceleration Due to Gravity MCQ (Single Correct)

Let g be the acceleration due to gravity at earth's surface and K be the rotational kinetic energy of the earth. Suppose the earth's radius decreases by 2% keeping all other quantities same, then

A
g decreases by 2% and K decreases by 4%
B
g decreases by 4% and K increases by 2%
C
g increases by 4% and K increases by 4%
D
g decreases by 4% and K increases by 4%

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Verified by Experts
The correct answer is:
C

and

If mass of the earth and its angular momentum remains constant then and

i.e. if radius of earth decreases by 2% then g and K both increases by 4%.

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