Gravitation Question 146
Question: The escape velocity from the surface of earth is $ [V_{e}] $ . The escape velocity from the surface of a planet whose mass and radius are 3 times those of the earth will be [MP PMT/PET 1998; JIPMER 2001, 02; Pb. PMT 2004]
Options:
A) $ [V_{e}] $
B) $ [3V_{e}] $
C) $ [9V_{e}] $
D) $ [27V_{e}] $
Show Answer
Answer:
Correct Answer: A
Solution:
$ [v_{e}=\sqrt{\frac{2GM}{R}}] $ \ $ [v_{e}\propto \sqrt{\frac{M}{R}}] $ If mass and radius of the planet are three times than that of earth then escape velocity will be same.
