Question

Two satellites of earth are of equal masses. They
revolve in orbits of radius ratio 1:2 with same
time period, then their
(1) Angular speeds are equal
(2) Linear speed ratio is 1:2
(3) Acceleration ratio is 1 : 2
(4) All of these​

Answer 1

(1)and(2)

Explanation:

The two satellites both take the same time to complete one revolution.

Now, their orbits are in the ratio 1:2 since their radii are in the same ratio.

This must mean that their linear speeds are in the same ratio od 1:2 since they travel the same amount in the time.

Angular speed is given by  dθ/dt which will be the same for them since they complete one revolution in the same time.

Acceleration due to gravity will be in the ratio 1:4 since it is given by Gm/$r^{2}$.

Ans (1), (2)