Satellites `A` and `B` are orbiting around the earth in orbits of radius `R` and `4R` respectively. The ratio of their areal velocities is-

Options

A. `1 : 2`
B. `1 : 4`
C. `1 : 8`
D. `1 : 16`

Answer

A

Explanation

`L =mvr rArr L=m sqrt((GM)/(r ))Ϸ L = m sqrt(GMr)` …(i)
`L=2m(dA)/(dt)`
From (i) and (ii)
`(dA)/(dt) prop sqrt(r ) Ϸ (dA//dt)_(1)//(dA//dt)_(2)=sqrt((4)/(1))=(2)/(1)`