Practicing Success
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 : |
3 V 6 V 4 V 7 V |
6 V |
Orbital velocity of satellite : \(v = \sqrt{\frac{GM}{r}}\) \(\Rightarrow v \propto \frac{1}{\sqrt{r}}\) \(\Rightarrow \frac{v_B}{v_A} = \sqrt{\frac{r_A}{r_B}}\) \(\Rightarrow \frac{v_B}{3 V} = \sqrt{\frac{4R}{R}}\) \(\Rightarrow v_B = 6 V\) |