Final answer:
Weak eye muscles can result in hyperopia, where images are focused behind the retina, making nearby objects appear blurry. A convex lens in glasses can correct this by converging light rays onto the retina.
Step-by-step explanation:
When vision impairment becomes so severe that a person sees double due to the eye muscles becoming relaxed and unable to focus, this is often a condition known as weak eye muscles. The muscle weakness causes difficulty in changing the shape of the lens in the eyes, which is imperative for proper focus. In hyperopia or farsightedness, the eye muscles are unable to pull hard enough on the edges of the lens to make it less convex. As a result, images are focused behind the retina rather than directly on it, causing nearby objects to appear blurry.
To address this condition, a convex lens, which is a lens that is thicker in the middle than at the edges, is used in glasses to correct the focus. The convex lens helps in converging light rays before they enter the eye, ensuring that they focus on the retina and allow for clear vision of nearby objects.