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If the radius of the earth contracts to ...

If the 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

6 hours

B

12 hours

C

18 hours

D

24 hours

Text Solution

Verified by Experts

The correct Answer is:
A
`m omega R^(2)`= constant
`rArr omega prop (1)/(R^(2)) rArr T prop R^(2)`
`(T_(1))/(T_(2)) = ((R)/(R//2))^(2)= 4`
`rArr T_(2)= (24)/(4)`= 6 hrs
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