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The radii of circular orbits of two sate...

The radii of circular orbits of two satellite `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

3V/4

B

6V

C

12V

D

3V/2

Text Solution

Verified by Experts

The correct Answer is:
B

speed of satellite `V=sqrt((GM)/(r ))`
`implies (V_(B ))/(V_(A))=sqrt((r_(A))/(r_(B))=sqrt((4R)/(R ))=2`
`implies V_(B)=(3V)(2)=6V`
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