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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

`3 V//4`

B

`6 V`

C

`12 V`

D

`3 V//2`

Text Solution

Verified by Experts

The correct Answer is:
B
Orbital velocity of a satellite, `upsilon = sqrt((GM)/(r ))`
`:. upsilon^(2) xx r = GM =` constant
`:. (3V)^(2) xx 4R = V_(B)^(2) xx R`
`V_(B) = sqrt(36V^(2)) = 6V`
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