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If the radius of the earth contracts to half of its present day value without change in mass, then the length of the day will be

a)

24 h

b)

48 h

c)

6 h

d)

12 h



Question ID - 53860 | SaraNextGen Top Answer

If the radius of the earth contracts to half of its present day value without change in mass, then the length of the day will be

a)

24 h

b)

48 h

c)

6 h

d)

12 h

1 Answer
127 votes
Answer Key / Explanation : (c) -

(c)

From law of conservation of angular momentum,

constant

where  is moment of inertia and  the angular velocity.

Moment of inertia of earth assuming it be a sphere of radius

Also      

h

127 votes


127