Two satellites A and B go round the planet P in circular orbits having radii 4R and R respectively- If the speed of the satellite A is 3v- then the speed of satellite B will be6vcfrac - 3v - 2 - 12vcfrac - 4v - 3 -

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Velocity v of a satellite varies inversely as the square root of the orbit of radius rv-x221D-1-x221A-r-x2234-VAVB-x221A-rBrA-x221A-R4R-x21D2-3vVB-12-x21D2-VB-6v

Two satellites $A$ and $B$ go round the planet $P$ in circular orbits having radii $4 R$ and $R$ respectively. If the speed of the satellite $A$ is $3 v$ , then the speed of satellite $B$ will be
$6 v$
$\frac{3 v}{2}$
$12 v$
$\frac{4 v}{3}$

Velocity $v$ of a satellite varies inversely as the square root of the orbit of radius $r$
$v \propto \frac{1}{\sqrt{r}}$
$∴ \frac{V_{A}}{V_{B}} = \sqrt{\frac{r_{B}}{r_{A}}} = \sqrt{\frac{R}{4 R}}$
$\Rightarrow \frac{3 v}{V_{B}} = \frac{1}{2} \Rightarrow V_{B} = 6 v$

Two satellites A and B go round the planet P in circular orbits having radii 4R and R respectively. If the speed of the satellite A is 3v, then the speed of satellite B will be6v3v212v4v3

Velocity v of a satellite varies inversely as the square root of the orbit of radius rv∝1√r∴VAVB=√rBrA=√R4R⇒3vVB=12⇒VB=6v

Two satellites $A$ and $B$ go round the planet $P$ in circular orbits having radii $4 R$ and $R$ respectively. If the speed of the satellite $A$ is $3 v$ , then the speed of satellite $B$ will be
$6 v$
$\frac{3 v}{2}$
$12 v$
$\frac{4 v}{3}$

Velocity $v$ of a satellite varies inversely as the square root of the orbit of radius $r$
$v \propto \frac{1}{\sqrt{r}}$
$∴ \frac{V_{A}}{V_{B}} = \sqrt{\frac{r_{B}}{r_{A}}} = \sqrt{\frac{R}{4 R}}$
$\Rightarrow \frac{3 v}{V_{B}} = \frac{1}{2} \Rightarrow V_{B} = 6 v$