Gravitation Question 156

Question: Escape velocity on earth is 11.2 km/s. What would be the escape velocity on a planet whose mass is 1000 times and radius is 10 times that of earth[DCE 2001; DPMT 2004]

Options:

A) 112 km/s

B) 11.2 km/s

C) 1.12 km/s

D) 3.7 km/s

Show Answer

Answer:

Correct Answer: A

Solution:

$ [\frac{v _{p}}{v _{e}}=\sqrt{\frac{M _{p}}{M _{e}}\frac{R _{e}}{R _{p}}}=\sqrt{(1000)\times \left( \frac{1}{10} \right)}=10] $ $ [v _{p}=10\times 11.2=112\ km/s] $



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