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If the earth shrinks such that its mass ...

If the earth shrinks such that its mass does not change but radius decreases to one quarter of its original value then one complete day will take.

A

96 h

B

48 h

C

6 h

D

`1.5` h

Text Solution

Verified by Experts

The correct Answer is:
D
Angular momentum of spin `=I omega`
By the conservation of angular momentum
`(2)/(3)" MR"^(2)(2pi)/(T)=(2)/(5)M((R )/(4))^(2)(2pi)/(T.)`
`rArr T.=(T)/(16)=(24)/(16)=1.5`h
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