Question

A satellite is launched into a circular orbit of radius ‘R’ around earth while a second satellite is launched intoan orbit of radius 1.02 R. The percentage difference in the time periods of the two satellites is

• A. 0.7
• B. 1.0
• C. 1.5
• D. 3

Answer 1

The correct option is D

3

Orbital radius of second satellite is $2\%$ more than first satellite

So from $\propto (r{)}^{\frac{3}{2}}$ , Percentage increase in time period $=\frac{3}{2}$ (Percentage increase in orbital radius)

$=\frac{3}{2}\left(2\%\right)=3\%$