Gravitation Question 118
Question: A satellite is launched into a circular orbit of radius R around the earth. A second satellite is launched into an orbit of radius (1.01)R. The period of the second satellite is larger than that of the first one by approximately [IIT 1995]
Options:
A) 0.5%
B) 1.0%
C) 1.5%
D) 3.0%
Show Answer
Answer:
Correct Answer: C
Solution:
In the problem orbital radius is increased by 1%.
Time period of satellite $ [T\propto {{r}^{3/2}}] $
Percentage change in time period = $ [\frac{3}{2}] $ (% change in orbital radius) = $ [\frac{3}{2}(1 percentage)=1.5 percentage] $
