Gravitation Question 169

Question:If the radius of a planet is four times that of earth and the value of g is same for both, the escape velocity on the planet will be[RPET 2002]

Options:

A) $ [11.2,,km/s] $

B) $ [5.6,,km/s] $

C) $ [22.4,,km/s] $

D) None

Show Answer

Answer:

Correct Answer: C

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] $

Þ $ [v_{p}=2\times v_{e}=2\times 11.2=22.4\ km/s] $



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