# A particle mass 'm' is attached to a thin uniform rod of length 'a' at a distance of $\large\frac{a}{4}$ 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 'O' and perpendicular to the rod is

$\begin {array} {1 1} (1)\;\large\frac{91}{48}ma^2 & \quad (2)\;\large\frac{27}{48}ma^2 \\ (3)\;\large\frac{51}{48}ma^2 & \quad (4)\;\large\frac{64}{48}ma^2 \end {array}$

(1) $\large\frac{91}{48}ma^2$