Two satellites, A and B , have masses m and 2m respectively. A is...

Let $v$ be the orbital velocity of the satellite which is given as $v = \sqrt{\dfrac{GM}{r}}$

Here $M$ be the mass of the earth, $m$ be the mass of satellite and $r$ is the orbit radius.

Kinetic energy, $K = \dfrac{1}{2}m{v}^{2} = \dfrac{1}{2}m{\left(\sqrt{\dfrac{GM}{r}}\right)}^{2} = \dfrac{GMm}{2r} ∝ \dfrac{m}{r}$

Ratio, $\dfrac{{K}_{A}}{{K}_{B}} = \dfrac{{m}_{A}}{{m}_{B}} \times \dfrac{{r}_{B}}{{r}_{A}} = \dfrac{m}{2m} \times \dfrac{2R}{R} = 1$