Physics - Gravitation Question with Solution | TestHub

The orbital velocity is given 

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

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 

$V_1=\sqrt{\frac{GM}{r}}$

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

$V_2=\sqrt{\frac{GM}{3r}}$

Hence, the ratio of the velocities is 

$\frac{V_1}{V_2}=\sqrt{\frac{3r}{r}}=\frac{\sqrt{3}}{1}$