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] $
