Gravitation Question 162
Question: The escape velocity of a body on an imaginary planet which is thrice the radius of the earth and double the mass of the earth is $ [(v_{e}] $ is the escape velocity of earth) [Kerala (Med.) 2002]
Options:
A) $ [\sqrt{2/3},v_{e}] $
B) $ [\sqrt{3/2},v_{e}] $
C) $ [\sqrt{2}/3,v_{e}] $
D) $ [2/\sqrt{3},v_{e}] $
Show Answer
Answer:
Correct Answer: A
Solution:
$ [\frac{v_{p}}{v_{e}}=\sqrt{\frac{M_{p}}{M_{e}}\times \frac{R_{e}}{R_{p}}}=\sqrt{2\times \frac{1}{3}}=\sqrt{\frac{2}{3}}] $ \ $ [v_{p}=\sqrt{\frac{2}{3}}v_{e}] $
