find the radius of gyration of a rod of mass `m` and length `2l` about an axis passing through one of its ends and perpendicular to its length.

Explanation

To find the radius of gyration of a rod of mass \( m \) and length \( 2l \) about an axis passing through one of its ends and perpendicular to its length, we can follow these steps:

### Step 1: Understand the Formula for Radius of Gyration
The radius of gyration \( K \) is defined as:
\[ K = \sqrt{\frac{I}{m}} \]
where \( I \) is the moment of inertia of the object about the specified axis, and \( m \) is the mass of the object.
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