Gravitation Question 241
Question: 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. [MNR 1991; AIIMS 1995; UPSEAT 2000]
Options:
A) 12 V
B) 6 V
C) $ [\frac{4}{3}V] $
D) $ [\frac{3}{2}V] $
Show Answer
Answer:
Correct Answer: B
Solution:
$ [v=\sqrt{\frac{GM}{R}}] $ Þ $ [\frac{v_{A}}{v_{B}}=\sqrt{\frac{R_{B}}{R_{A}}}=\sqrt{\frac{R}{4R}}] $ $ [=\frac{1}{2}] $ $ [\frac{v_{A}}{v_{B}}=\frac{3V}{v_{B}}=\frac{1}{2}] $ $ [\therefore ,,v_{B}=6,V] $
