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}] $



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