Moment of inertia of a uniform rod of mass `m` and length `l` is `(7)/(12)ml^(2)` about a line perpendicular to the rod. Find the distance of this line from the middle point of the rod.

Options

A. `l^2/2`
B. `6l`
C. `2l`
D. `l/sqrt2`

Explanation

To find the distance of the line from the middle point of the rod using the given moment of inertia, we can follow these steps:

### Step 1: Understand the given information
We know that the moment of inertia \( I_{bb'} \) of a uniform rod of mass \( m \) and length \( l \) about a line perpendicular to the rod is given as:
\[ I_{bb'} = \frac{7}{12} ml^2 \]
We also know the moment of inertia about the center of the rod (line \( aa' \)):
...