Two satellite A and B go around a planet in circular orbits having radii 4R and R respectively. If the speed of satellite A is 3v, the speed of satellite B would be ..........

Options

A. 12v
B. 6v
C. `4/2v`
D. `3/2`v

Answer

B

Explanation

`implies` Orbital speed, according to
`v_0 = sqrt((GM_e)/(4R))`
For satellite A orbiting in circular path of radius 4R
`(v_0)_A= sqrt((GM_e)/(4R)) = 3 lamda " "....(1)`
For satellite B orbiting in circular path of radius R
`(v_0)_B= sqrt((GM_e)/(4R)) = 3 lamda " "....(2)`
`:.((v_0)_B)/((v_0)_A)=sqrt((GM_e)/(4R)xx(4R)/(GM_e))`
`(v_0)_B = 2(v_0)_A`
= 2(3v)
= 6v