Gravitation Question 178
Question: The distance of neptune and saturn from sun are nearly $ [10^{13}] $ and $ [10^{12}] $ meters respectively. Assuming that they move in circular orbits, their periodic times will be in the ratio[NCERT 1975; CBSE PMT 1994; MP PET 2001]
Options:
A) $ [\sqrt{10}] $
B) 100
C) $ [10\sqrt{10}] $
D) $ [1/\sqrt{10}] $
Show Answer
Answer:
Correct Answer: C
Solution:
$ [\frac{T_{1}}{T_{2}}={{\left( \frac{R_{1}}{R_{2}} \right)}^{3/2}}={{\left( \frac{10^{13}}{10^{12}} \right)}^{3/2}}={{(1000)}^{1/2}}] $ $ [=10\sqrt{10}] $
