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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