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If radius of the earth contracts to half...

If radius of the earth contracts to half of its present value without change in its mass, what will be the new duration of the day?

A

`12hr`

B

`6hr`

C

`42 mi n`

D

none of these

Text Solution

Verified by Experts

The correct Answer is:
B
`I=2/5MR^(2)`
`L=Iomega`=constant
`T=(2pi)/(omega)implies T prop1/(omega) prop I prop R^(2)`
`T prop R^(2)`
So if radius becomes half, `T` becomes `1/4` times i.e. `6` hrs.
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