A) The angular momentum of the earth will become greater than that of the sun.
B) The periodic time of the earth will increase.
C) The energy and angular momentum will remain constant.
D) The angular velocity of the earth will increase
Correct Answer: D
Solution :
If the radius of earth decreases all of sudden, then its moment of inertia (I) decreases. \[\therefore \] By the relation, \[L=I\,\omega ,\]we get \[\omega \propto \frac{1}{I}\] (\[\because \]L is constant) So, when moment of inertia decreases, angular velocity of earth will increases.
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