Two satellites $A$ and $B$,having a ratio of masses $3 : 1$,are in circular orbits of radii $r$ and $4r$ respectively. Calculate the ratio of the total mechanical energy of $A$ and $B$.

  • A
    $3 : 4$
  • B
    $12 : 1$
  • C
    $4 : 3$
  • D
    $1 : 12$

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