Question

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

Answer 1

Answer: (B)

$48 \sqrt { 2 }$ hours

Answer 2

$T \propto r ^ { 3 / 2 }$. If r becomes double then time period will becomes (2)^3/2 times.

So new time period will be $24 \times 2 \sqrt { 2 } h r$i.e. $T = 48 \sqrt { 2 }$