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%



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