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 ∝ (r)^3/2 Percentage increase in time period = 3/2 (Percentage increase in orbital radius) = 3/2 (2%) = 3%.