Gravitation Question 191
Question: A satellite A of mass m is at a distance of r from the centre of the earth. Another satellite B of mass 2m is at a distance of 2r from the earth’s centre. Their time periods are in the ratio of [CBSE PMT 1993]
Options:
A) 1 : 2
B) 1 : 16
C) 1 : 32
D) $ [1:2\sqrt{2}] $
Show Answer
Answer:
Correct Answer: D
Solution:
Mass of the satellite does not effects on time period $ [\frac{T_{A}}{T_{B}}={{\left( \frac{r_{1}}{r_{2}} \right)}^{3/2}}={{\left( \frac{r}{2r} \right)}^{3/2}}={{\left( \frac{1}{8} \right)}^{1/2}}=\frac{1}{2\sqrt{2}}] $
