Two satellites of masses m and 3m revolve around the earth in...

The orbital velocity is given

$V = \sqrt{\left(\dfrac{GM}{r}\right)}$

where $M$ is the mass of earth and $r$ is the radius of the orbit of satellite.

The velocity of the satellite with mass $m$ is

${V}_{1} = \sqrt{\dfrac{GM}{r}}$

and the velocity of the satellite with mass $3m$ is

${V}_{2} = \sqrt{\dfrac{GM}{3r}}$

Hence, the ratio of the velocities is

$\dfrac{{V}_{1}}{{V}_{2}} = \sqrt{\dfrac{3r}{r}} = \dfrac{\sqrt{3}}{1}$