Question

Two satellites are orbiting around the earth in circular orbits of same radius. One of them is $10$times greater in mass than the other. Their period of revolutions are in the ratio:

• A. 100:1
• B. 1:100
• C. 10:1
• D. 1:1

Answer 1

The correct option is D 1:1

$v=\frac{2\pi R}{T}$

or, $T=\frac{2\pi R}{v}$

$\therefore$ $T$ is not dependent on mass.

$\therefore$ If $M_1=10M_2$

$T_1:T_2=1:1$