If radus of earth shrinks by `0.1%` without change in its mass, the percentage change in the duration of one day

Options

A. decreases by `0.1 %`
B. increases by `0.1%`
C. decreases by `0.2%`
D. increases by `0.2 %`

Answer

C

Explanation

`Iomega=2/5MR^(2)xx((2pi)/T)=constant`
`TpropR^(2)` and `(DeltaT)/T=2(DeltaR)/R`