If the earth were to suddenly shrink to `I//n` of its present radius without any change in its mass the duration of the new day will be

Options

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

Answer

C

Explanation

Here `I_(1)omega_(2)=I_(2)omega_(2)`
`(2)/(5)MR^(2)((2pi)/(24))=(2)/(5)(MR^(2))/(n^(2))((2pi)/(T))`
`T=(24)/(n^(2))`