Option 1: Half of the image will be visible. This option is incorrect because when one half of the convex lens is covered with black paper, it will block light from entering that portion of the lens. Therefore, only the other half of the image will be visible, not just half of it.

Option 2: Intensity of the image will be diminished. This is the correct answer. When the convex lens is partially covered, less light can pass through the lens. As a result, the intensity of the image formed will be diminished because there will be less light to form a clear and bright image.

Option 3: Image will be inverted now. This option is incorrect. The inversion of the image is a characteristic of a convex lens regardless of whether it is partially covered or not. Therefore, covering one half of the lens with black paper will not change the fact that the image formed will be inverted.

Option 4: One can see an image of smaller size. This option is incorrect. The size of the image formed by a convex lens does not change when one half of it is covered with black paper. The size of the image is determined by the distance between the object and the lens, and the focal length of the lens.

In conclusion, the correct