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] $



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