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Keeping the mass of earth constant, if i...

Keeping the mass of earth constant, if its radius is halved then what will be the duration of the day?

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`I_(1)omega_(1)=I_(2)omega_(2)`
`implies2/5MR^(22)xx(2pi)/(T_(1))=2/5M(R/2)^(2)xx(2pi)/(T_(2))`
`impliesT_(2)=(T_(1))/4[:' T_(1)=24hr]`
`:.T_(2)=6hr`
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