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

Q. 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 3V, the speed of the satellite B will be

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 3V, the speed of the satellite B will be.

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The radii of circular orbits of two satellites 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:

The correct option is B 6v=√GMRVAVB=√rBrA=√R4R=12∴VAVB=3VVB=12∴VB=6V

The correct option is B 6v
$= \sqrt{\frac{G M}{R}} \frac{V_{A}}{V_{B}} = \sqrt{\frac{r_{B}}{r_{A}}} = \sqrt{\frac{R}{4 R}} = \frac{1}{2} ∴ \frac{V_{A}}{V_{B}} = \frac{3 V}{V_{B}} = \frac{1}{2} ∴ V_{B} = 6 V$