Gravitation Ques 45

45. 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 $S_2$.

Show Answer

Answer:

Correct Answer: 45.(b)

Solution:

  1. (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.



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