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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 hours

B

48 hrs

C

6 hrs

D

1.5 hrs

Text Solution

Verified by Experts

The correct Answer is:
D
By conservation of angular momentum `I_(1) omega_(1)= I_(2) omega_(2)`
`rArr (2)/(5) MR^(2) (2pi)/(T) = (2)/(5)M ((R)/(4))^(2) (2pi)/(T)`
`T.= (T)/(16)= (24)/(16)= 1.5` hrs
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