Gravitation Question 151

Question: The escape velocity on earth is 11.2 km/s. On another planet having twice radius and 8 times mass of the earth, the escape velocity will be[Bihar CMEET 1995]

Options:

A) 3.7 km/s

B) 11.2 km/s

C) 22.4 km/s

D) 43.2 km/s

Show Answer

Answer:

Correct Answer: C

Solution:

$ [\frac{v_{p}}{v_{e}}=\sqrt{\frac{M_{p}}{M_{e}}\times \frac{R_{p}}{R_{e}}}=\sqrt{8\times \frac{1}{2}}=2] $ $ [v_{p}=2\times v_{e}=22.4km/s] $



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