The radii of circular orbits of two satellites $A$ and $B$ of the earth are $4 R$ and $R$ respectively. If the speed of satellite $A$ is $3 v$ , then the speed of satellite $B$ will be

Question

The radii of circular orbits of two satellites A and B of the earth are 4R and R- respectively- the speed of satellite A is 3v- then the speed of satellite B will be-3v-46v12v3v-2

Toppr Admin · Accepted Answer

-x221A-GMRVAVB-x221A-rBrA-x221A-R4R-12-x2234-VAVB-3VVB-12-x2234-VB-6V

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:
3v/4
6v
12v
3v/2

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

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:3v/46v12v3v/2

=√GMRVAVB=√rBrA=√R4R=12∴VAVB=3VVB=12∴VB=6V

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:
3v/4
6v
12v
3v/2

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