Gravitation Question 259
Question: A geo-stationary satellite is orbiting the earth at a height of 6 R above the surface of earth, R being the radius of earth. The time period of another satellite at a height of 2.5 R from the surface of earth is [UPSEAT 2002; AMU (Med.) 2002; Pb. PET 2003]
Options:
A) 10 hr
B) $ [(6/\sqrt{2}),hr] $
C) 6 hr
D) $ [6\sqrt{2},hr] $
Show Answer
Answer:
Correct Answer: D
Solution:
Distances of the satellite from the centre are 7R and 3.5R respectively.
$ [\frac{T_{2}}{T_{1}}={{\left( \frac{R_{2}}{R_{1}} \right)}^{3/2}},$
$\Rightarrow T_{2}=24,{{\left( \frac{3.5R}{7R} \right)}^{3/2}}=6\sqrt{2},hr] $
