Gravitation Question 254
Question: The orbital speed of an artificial satellite very close to the surface of the earth is $ [V_{o}] $ . Then the orbital speed of another artificial satellite at a height equal to three times the radius of the earth is[Kerala (Engg.) 2001]
Options:
A) $ [4,V_{o}] $
B) $ [2,V_{o}] $
C) $ [0.5,V_{o}] $
D) $ [4,V_{o}] $
Show Answer
Answer:
Correct Answer: C
Solution:
$ [v\propto \frac{1}{\sqrt{r}},] $ If $ [r=R] $
then $ [v=V_{0}] $ If $ [r=R+h=R+3R=4R] $
then $ [v=\frac{V_{0}}{2}=0.5V_{0}] $