Gravitation Question 246
Question: A satellite is moving around the earth with speed v in a circular orbit of radius r. If the orbit radius is decreased by 1%, its speed will [MP PET 1996, 99, 2002]
Options:
A) Increase by 1%
B) Increase by 0.5%
C) Decrease by 1%
D) Decrease by 0.5%
Show Answer
Answer:
Correct Answer: B
Solution:
$ [v\propto \frac{1}{\sqrt{r}}.] $ % increase in speed = $ [\frac{1}{2}] $ (% decrease in radius) $ [=\frac{1}{2}(1%)=0.5%] $ i.e. speed will increase by 0.5%
