Gravitation Question 235
Question: Two satellites of masses $ [m_{1}] $ and $ [m_{2}(m_{1}>m_{2})] $ are revolving round the earth in circular orbits of radius $ [r_{1}] $ and $ [r_{2}(r_{1}>r_{2})] $ respectively. Which of the following statements is true regarding their speeds $ [v_{1}] $ and $ [v_{2}] $ ? [NCERT 1984; MNR 1995; BHU 1998]
Options:
A) $ [v_{1}=v_{2}] $
B) $ [v_{1}<v_{2}] $
C) $ [v_{1}>v_{2}] $
D) $ [\frac{v_{1}}{r_{1}}=\frac{v_{2}}{r_{2}}] $
Show Answer
Answer:
Correct Answer: B
Solution:
$ [v=\sqrt{\frac{GM}{r}}] $ if $ [r_{1}>r_{2}] $ then $ [v_{1}<v_{2}] $ Orbital speed of satellite does not depends upon the mass of the satellite
