Q. A satellite $A$ of mass $m$ is at a distance of $r$ from the centre of the earth. Another satellite $B$ of mass $2m$ is at a distance of $2r$ from the earth’s centre. Their time periods are in the ratio of
A) 1 : 2
B) 1 : 16
C) 1 : 32
D) $1\ :2\sqrt{2}$
Explanation
(d) Mass of the satellite does not affect the time period
$\frac{T_{A}}{T_{B}} = \left( \frac{r_{1}}{r_{2}} \right)^{3/2} = \left( \frac{r}{2r} \right)^{3/2} = \left( \frac{1}{8} \right)^{1/2} = \frac{1}{2\sqrt{2}}$
Reviewed by Dr. Abubacker
Physics Educator & NEET/JEE Specialist
Ph.D. in Physics with 19+ years of teaching experience.