If all of a sudden the radius of the earth decreases, then

Options

A. the angular momentum of the earth will become greater than that of the sun
B. the angular speed of the earth will increase
C. the periodic time earth will increase
D. the energy and angular momentum will remain constant

Answer

B

Explanation

If radius of earth decreases then its M.I. decreases.
As, `L = I omega " " therefore omega prop (1)/(I) " "` [L = constant]
i.e. angular velocity of the earth will increase.