Let \( g \) be the acceleration due to gravity at earth's surface and \( \mathrm{K} \) be the ro....

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Let \( g \) be the acceleration due to gravity at earth's
\( \mathrm{P} \)
surface and \( \mathrm{K} \) be the rotational kinetic energy of the earth. Suppose the earth's radius decreases by \( 2 \% \) keeping all other quantities same, then
(1) \( g \) decreases by \( 2 \% \) and \( \mathrm{K} \) decreases by \( 4 \% \)
(2) \( g \) decreased by \( 4 \% \) and \( \mathrm{K} \) increases by \( 2 \% \)
(3) \( g \) increase by \( 4 \% \) and \( \mathrm{K} \) increases by \( 4 \% \)
(4) \( g \) decrease by \( 4 \% \) and \( \mathrm{K} \) increases by \( 4 \% \)


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