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If the radius of the earth becomes half ...

If the radius of the earth becomes half of its present value (mass remaining the same ), the new length of the day would be

A

6 hours

B

12 hours

C

48 hours

D

96 hours

Text Solution

Verified by Experts

The correct Answer is:
A
The angular momentum of the earth about its axis will remain constant
`L= I omega=((2)/(5) MR^(2))((2pi)/(T))`
`rArr T=(4piM)/(5L) R^(2)`
`:. R prop R^(2)`
If the radius of earth is reduced to half of its present value then time period will become one-fourth of present value
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