# A satellite moving in a circular path of radius r around earth has a time period T .if it's radius slightly increases by 4% then percentage change in its time period is

Arun
25763 Points
3 years ago
Dear student

According to Kepler's law-
T² = kr³
2T dT/dr = 3 k r² = 3 T²/r
dT/dr = 3/2 T/r..
Hence
dT = (3T/2r)* $\Delta$ r
Now put the value of $\Delta$r = 0.04 r and find answer
Regards