A square frame is made rods each of mass `m` and length `l`. The moment of inertia of the square about its face diagonal is

Options

A. `(2)/(3)ml^(2)`
B. `(1)/(3)ml^(2)`
C. `(4)/(3)ml^(2)`
D. `(2)/(5)ml^(2)`

Explanation

To find the moment of inertia of a square frame made of rods about its face diagonal, we can follow these steps:

### Step 1: Understand the Geometry
The square frame consists of four rods, each of mass \( m \) and length \( l \). The face diagonal of the square connects two opposite corners of the square.

### Step 2: Identify the Moment of Inertia for One Rod
The moment of inertia \( I \) of a single rod about an axis through one end and perpendicular to its length is given by the formula:
\[
...