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

Options

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

Answer

B

Explanation

Orbital velocity, `v=sqrt((GM)/(R))rArr(v_(A))/(v_(B))=sqrt((R_(B))/(R_(A)))=sqrt((R)/(4R))=(1)/(2)`
`:. (v_(A))/(v_(B))=(3v)/(v_(B))=(1)/(2)rArr v_(B)=6v`.