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Q.

Two satellites A and B of the same mass are revolving around the earth in the concentric circular orbits such that the distance of satellite B from the centre of the earth is thrice as compared to the distance of the satellite A from the centre of the earth. The ratio of the centripetal force acting on B as compared to that on A is 

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a

13

b

3

c

19

d

13

answer is C.

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Detailed Solution

VA=GMrA and VB=GMrB

 Given rB=3rA

 Now FA=mvA2rA=MrAGMrA=GMmrA2

            FB=GMmrB2FBFA=rA2rB2=19

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Two satellites A and B of the same mass are revolving around the earth in the concentric circular orbits such that the distance of satellite B from the centre of the earth is thrice as compared to the distance of the satellite A from the centre of the earth. The ratio of the centripetal force acting on B as compared to that on A is