If the earth were to suddenly contract to `1//n^(th)` of its present radius without any change in its mass, the duration of the new day will be nearly

Options

A. `24//n` hours
B. `24 n` hours
C. `24//n^(2)` hours
D. `24n^(2)` hours

Answer

C

Explanation

`I_(1)omega_(1)=I_(2)omega_(2), (I_(1))/(T_(1))=(I_(2))/(T_(2)),R_(2)=(R_(1))/n`