Question

Kepler's second law states that the radius vector to a planet from the sun sweeps out equal areas in equal intervals of time.This law is a consequence of the conservation of

• A. Time
• B. Mass
• C. Angular momentum
• D. Linaer momentum

Answer 1

The correct option is C Angular momentum

Areal velocity $\frac{\Delta A}{\Delta t}=\frac{L}{2m}$
Since the radius vector of planet sweeps out equal area in equal interval of time, thus $\frac{\Delta A}{\Delta t}=$ constant
$⟹L=$ constant
Thus Kepler's second law is a consequence of the conservation of angular momentum.