Gravitation Question 263
Question:Two satellite A and B, ratio of masses 3 : 1 are in circular orbits of radii r and 4r. Then ratio of total mechanical energy of A to B is [DCE 2002]
Options:
A) 1 : 3
B) 3 : 1
C) 3 : 4
D) 12 : 1
Show Answer
Answer:
Correct Answer: D
Solution:
Total mechanical energy of satellite $ [E=\frac{-GMm}{2r}] $
Þ $ [\frac{E_{A}}{E_{B}}=\frac{m_{A}}{m_{B}}\times \frac{r_{B}}{r_{A}}] $
Þ$ [\frac{3}{1}\times \frac{4r}{r}] $ =$ [\frac{12}{1}] $
