Gravitation Question 145
Question: The mass of the earth is 81 times that of the moon and the radius of the earth is 3.5 times that of the moon. The ratio of the escape velocity on the surface of earth to that on the surface of moon will be[MP PMT/PET 1998; JIPMER 2000]
Options:
A) 0.2
B) 2.57
C) 4.81
D) 0.39
Show Answer
Answer:
Correct Answer: C
Solution:
Escape velocity $ [v_{e}=\sqrt{\frac{2GM}{R}}] $ \ $ [\frac{v_{e}}{v_{m}}=\sqrt{\frac{M_{e}R_{m}}{M_{m}R_{e}}}=\sqrt{\frac{81}{3.5}}=4.81] $
