A

To analyze the behavior of each part of a cut equiconvex lens, we must consider how cutting the lens affects its focal length and image characteristics.

Step 1: Understand the properties of the original lens. An equiconvex lens with focal length $f$ focuses parallel rays to a point at a distance $f$.
Step 2: When the lens is cut into four parts, the effective area available for focusing light decreases. Each part will have a different effective focal length depending on its geometry and aperture.
Step 3: Cutting decreases the area through which light is transmitted, reducing the intensity of the image produced.
Step 4: Therefore, for Column-I (i), the intensity of the image decreases as a result of the division of the lens.
Step 5: Consequently, option [A] matches the change in intensity when a lens is cut into parts.
Thus, the correct answer is A.