Gravitation Question 188
Question: The rotation period of an earth satellite close to the surface of the earth is 83 minutes. The time period of another earth satellite in an orbit at a distance of three earth radii from its surface will be[MP PMT 1994]
Options:
A) 83 minutes
B) $ [83\times \sqrt{8}] $ minutes
C) 664 minutes
D) 249 minutes
Show Answer
Answer:
Correct Answer: C
Solution:
For first satellite $ [r_{1}=R] $ and $ [T_{1}=83\ minute] $ For second satellite $ [r_{2}=4R] $ $ [T_{2}=T_{1}{{\left( \frac{r_{2}}{r_{1}} \right)}^{3/2}}=T_{1}{{(4)}^{3/2}}=8T_{1}=8\times 83] $ =664 minutes
