Gravitation - Result Question 46
49. Two satellites of earth, $S_1$ and $S_2$ are moving in the same orbit. The mass of $S_1$ is four times the mass of $S_2$. Which one of the following statements is true?
[2007]
(a) The potential energies of earth satellites in the two cases are equal.
(b) $S_1$ and $S_2$ are moving with the same speed.
(c) The kinetic energies of the two satellites are equal.
(d) The time period of $S_1$ is four times that of $S_2$.
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Answer:
Correct Answer: 49. (b)
Solution:
- (b) Since orbital velocity of satellite is
$v=\sqrt{\frac{G M}{r}}$, it does not depend upon the mass of the satellite.
Therefore, both satellites will move with same speed.
