Two satellites $\mathrm{A}$ and $\mathrm{B}$, have the ratio of their masses as  ${\mathrm{m}}_{\mathrm{A}}:{\mathrm{m}}_{\mathrm{B}}=3:1$, are in the circular orbits of radii $\mathrm{r}$ and $4\mathrm{r}$ respectively. The ratio of total mechanical energy of $\mathrm{A}$ to that of $\mathrm{B}$ is

• A

  $\frac{1}{3}$
• B

  $3$
• C

  $\frac{3}{4}$
• Correct answer
  D

  $12$

Hence, the correct answer is option: 'D'.