A particle of mass m is attached to a thin uniform rod of length a at a distance of  $\frac{a}{4}$ from the mid-point
C as shown in the figure. The mass of the rod is 4 m. The moment of inertia of the combined system about
an axis passing through 0 and perpendicular to the rod is [EAMCET 2013]

• A

  $\frac{91}{48}m{a}^2$

• B

  $\frac{27}{48}m{a}^2$

• C

  $\frac{51}{48}m{a}^2$

• D

  $\frac{64}{48}m{a}^2$