Q. Choose the correct statement from the following. The radius of the orbit of a geostationary satellite depends upon
A) Mass of the satellite, its time period and the gravitational constant
B) Mass of the satellite, mass of the earth and the gravitational constant
C) Mass of the earth, mass of the satellite, time period of the satellite and the gravitational constant
D) Mass of the earth, time period of the satellite and the gravitational constant
Explanation
(d) $T = 2\pi\sqrt{\frac{r^{3}}{GM}} \Rightarrow r^{3} = \frac{GMT^{2}}{4\pi^{2}} \Rightarrow r = \left\lbrack \frac{GMT^{2}}{4\pi^{2}} \right\rbrack^{1/3}$
Reviewed by Dr. Abubacker
Physics Educator & NEET/JEE Specialist
Ph.D. in Physics with 19+ years of teaching experience.