Gravitation Question 274
Question: 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 [Pb. PET 2004]
Options:
A) $ [\frac{3v}{2}] $
B) $ [\frac{4v}{2}] $
C) $ [6v] $
D) $ [12v] $
Show Answer
Answer:
Correct Answer: C
Solution:
$ [\frac{v_{B}}{v_{A}}=\sqrt{\frac{r_{A}}{r_{B}}}=\sqrt{\frac{4R}{R}}=2] $ Þ $ [v_{B}=2\times v_{A}=2\times 3v=6v] $