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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%

Answer:  c

(3)

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