Gravitation Question 205
Question:If a new planet is discovered rotating around Sun with the orbital radius double that of earth, then what will be its time period (in earth’s days)[DCE 2004]
Options:
A) 1032
B) 1023
C) 1024
D)1043
Show Answer
Answer:
Correct Answer: A
Solution:
$ [T^{2}\propto R^{3}] $
Þ $ [{{\left( \frac{T_{P}}{T_{E}} \right)}^{2}}={{\left( \frac{R_{P}}{R_{E}} \right)}^{3}}={{\left( \frac{2R_{E}}{R_{E}} \right)}^{3}}] $
Þ $ [\frac{T_{P}}{T_{E}}={{(2)}^{3/2}}=2\sqrt{2}] $ Þ $ [T_{P}=2\sqrt{2}\times 365=1032.37] $ = 1032 days
