1.

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 :

Answer»

12V
`3V//2`
`3V//4`
6V

Solution :`(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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