Gravitation Question 244
Question: Choose the correct statement from the following : The radius of the orbit of a geostationary satellite depends upon [MP PMT 1995]
Options:
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
Show Answer
Answer:
Correct Answer: D
Solution:
$ [T=2\pi \sqrt{\frac{r^{3}}{GM}}] $ Þ$ [r^{3}=\frac{GMT^{2}}{4{{\pi }^{2}}}] $ Þ$ [r={{\left[ \frac{GMT^{2}}{4{{\pi }^{2}}} \right]}^{1/3}}] $
