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Two satellites A and B go around a plane...

Two satellites A and B go around a planet in circular orbits of radii 4 R and R respectively. If the speed of the satellite A is 3 V, then the speed of the satellite B will be

A

12 V

B

6 V

C

`(4V)/2`

D

`(3V)/2`

Text Solution

Verified by Experts

The correct Answer is:
D
Orbital velocity `=sqrt((GM)/R)=V`
`V_1/V_2=sqrt(R_2/R_1)`
`implies (3V)/V_2=sqrt(R/(4R))=1/2`
`:. V_2 =6V`
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