Gravitation Question 273
Question:A satellite moves round the earth in a circular orbit of radius R making one revolution per day. A second satellite moving in a circular orbit, moves round the earth once in 8 days. The radius of the orbit of the second satellite is [UPSEAT 2004]
Options:
A) 8 R
B) 4R
C) 2R
D) R
Show Answer
Answer:
Correct Answer: B
Solution:
Given that, $ [T_{1}=1] $ day and $ [T_{2}=] $ 8 days \ $ [\frac{T_{2}}{T_{1}}={{\left( \frac{r_{2}}{r_{1}} \right)}^{3/2}}] $ Þ $ [\frac{r_{2}}{r_{1}}={{\left( \frac{T_{2}}{T_{1}} \right)}^{2/3}}={{\left( \frac{8}{1} \right)}^{2/3}}=4] $ Þ $ [r_{2}=4r_{1}=4R] $
