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Two satellites A and B go round a planet...

Two satellites A and B go round a planet P in circular orbits having radii 4R and R respectively. If the speed of the satellite A is 3 V, the speed of 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:
B

Orbital velocity `=sqrt((GM)/(R))=V`
`(V_(1))/(V_(2))=sqrt(R_(2))/(R_(1))`
`rArr(3V)/(V_(2))=sqrt((R)/(4R))=(1)/(2)`
`thereforeV_(2)=6V`
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