Two satellites $A$ and $B$ go round a planet in circular orbits having radii $4R$ and $R$, respectively. If the speed of satellite $A$ is $3v$, then speed of satellite $B$ is
Two satellites $A$ and $B$ go round a planet in circular orbits having radii $4R$ and $R$, respectively. If the speed of satellite $A$ is $3v$, then speed of satellite $B$ is
$\frac{{3v}}{2}$
$\frac{{4v}}{2}$
$6v$
$12v$
Two satellites $A$ and $B$ go round a planet in circular orbits having radii $4R$ and $R$, respectively. If the speed of satellite $A$ is $3v$, then speed of satellite $B$ is
$\frac{{{v_B}}}{{{v_A}}} = \sqrt {\frac{{{r_A}}}{{{r_B}}}} = \sqrt {\frac{{4R}}{R}} = 2$
${v_B} = 2 \times {v_A} = 2 \times 3v = 6v$
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