An artificial satellite of mass m is moving along anelliptical path around the earth. The area velocity of the satellite is proportional to

Options

A. m
B. `m^(-1)`
C. `m^(0)`
D. `m^(1//2)`

Answer

C

Explanation

Areal velocity, `(dA)/(dt)` = constant
`(dA)/(dt) = (L)/(2m)` (where, L is angular momentum)
`=(mvr sin theta)/(2m) = (vr sin theta)/(2)`
This shows areal velocity does not depends on mass
so, `(dA)/(dt) prop m^(0)`