Gravitation Question 69
Question:If the density of a small planet is the same as that of earth, while the radius of the planet is 0.2 times that of the earth, the gravitational acceleration on the surface of that planet is [UPSEAT 2004; CBSE PMT 2005]
Options:
A) 0.2 g
B) 0.4 g
C) 2 g
D) 4 g
Show Answer
Answer:
Correct Answer: A
Solution:
$ [\ g=\frac{4}{3}\pi GR\rho ] $
and $ [{g}’=\frac{4}{3}\pi G{R}’\rho ] $
$ [\frac{{{g}’}}{g}=\frac{{{R}’}}{R}=0.2] $
Þ $ [{g}’=0.2g] $
