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 ..........

Two satellite A and B go around a planet in circular orbits having rad

1.	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 ..........
Answer» 12v 6v `4/2v` `3/2`v Solution :`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