Gravitation Question 185
Question: Two planets move around the sun. The periodic times and the mean radii of the orbits are $ [T_{1},,T_{2}] $ and $ [r_{1},,r_{2}] $ respectively. The ratio $ [T_{1}/T_{2}] $ is equal to[CPMT 1978]
Options:
A) $ [{{(r_{1}/r_{2})}^{1/2}}] $
B) $ [r_{1}/r_{2}] $
C) $ [{{(r_{1}/r_{2})}^{2}}] $
D) $ [{{(r_{1}/r_{2})}^{3/2}}] $
Show Answer
Answer:
Correct Answer: D
Solution:
$ [T^{2}\propto r^{3},\Rightarrow ,\frac{T_{1}}{T_{2}}={{\left( \frac{r_{1}}{r_{2}} \right)}^{3/2}}] $
