Gravitation Question 168
Question:The acceleration due to gravity on a planet is same as that on earth and its radius is four times that of earth. What will be the value of escape velocity on that planet if it is $ [v_{e}] $ on earth[RPET 2002]
Options:
A) $ [v_{e}] $
B) $ [2v_{e}] $
C) $ [4v_{e}] $
D) $ [\frac{v_{e}}{2}] $
Show Answer
Answer:
Correct Answer: B
Solution:
$ [v=\sqrt{2gR}] $
Þ $ [\frac{v_{p}}{v_{e}}=\sqrt{\frac{g_{p}}{g_{e}}\times \frac{R_{p}}{R_{e}}}=\sqrt{1\times 4}=2] $ \ $ [v_{p}=2v_{e}] $
