Q. A satellite which is geostationary in a particular orbit is taken to another orbit. Its distance from the centre of earth in new orbit is 2 times that of the earlier orbit. The time period in the second orbit is
A) $4.8\ hours$
B) $48\sqrt{2}\ hours$
C) $24\ hours$
D) $24\sqrt{2}\ hours$
Explanation
(b) $T \propto r^{3/2}$. If $r$ becomes double then time period will become $(2)^{3/2}$ times
So new time period will be $24 \times 2\sqrt{2}\ hr\ i.e.\ T = 48\sqrt{2}$
Reviewed by Dr. Abubacker
Physics Educator & NEET/JEE Specialist
Ph.D. in Physics with 19+ years of teaching experience.