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The radii of circular orbits of two sate...

The radii of circular orbits of two satellites A and B of the earth, are 4R and R, respectively. If the speed of satellite A is 3V, then the speed of satellite B will be :

A

12V

B

`3V//2`

C

`3V//4`

D

6V

Text Solution

Verified by Experts

The correct Answer is:
D
`(mv^(2))/(R )=(GM_(e )m)/(R^(2))`
`v=sqrt((GM_(e))/(R ))`
`v prop (1)/(sqrt(R ))`
`(V_(A))/(V_(B))=sqrt((R_(B))/(R_(A)))=sqrt((R )/(4R))=(1)/(2)`
`(3V)/(V_(B))=(1)/(2)`
`V_(B)=6V`.
This correct choice is (a).
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