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

Question

A satellite is launched into a circular orbit of radius ‘R’ around earth while a second satellite is launched into an 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

Correct option (d) 3
Explanation
Orbital radius of second satellite is $2 \%$ more than first satellite
So from $T \propto(r)^{3 / 2}$ Percentage increase in time period $=3 / 2$ (Percentage increase in orbital radius $)=3 / 2(2 \%)=3 \%$.