Let \( g \) be the acceleration due to gravity at earth's surface and \( K \) be the rotational ...

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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
[BHU 1994; JIPMER 2000]
(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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