JEE Main20199 Jan 2019Morning ShiftPhysicsGravitationActual
If the angular momentum of a planet of mass m , moving around the Sun in a circular orbit is L , about the center of the Sun, its areal velocity is:
Options
- AL m
- B4 L m
- CL 2 m
- D2 L m
Correct answer
C. L 2 m
Step-by-step solution
d A → = 1 2   r → × v → d t d A → d t = areal velocity = 1 2   r → × v → = 1 2 r → × m v → m = 1 2 m   L d A d t = L 2 m