Due to contraction of eyeball, a long- sighted eye can see only

Long-sightedness, also known as hypermetropia or hyperopia, is a refractive defect where a person can see distant objects clearly but cannot focus on nearby objects [1]. This condition occurs when the eyeball is too short (contraction of the eyeball) or the focal length of the eye lens is too long, causing light rays to converge at a point behind the retina [2]. Because the eye's converging power is insufficient, it can only clearly see farther objects where the light rays require less bending to focus on the retina [1]. To correct this defect, a convex (converging) lens is used. The convex lens provides additional refractive power, converging the incoming light rays before they enter the eye, thereby shifting the image forward so it focuses precisely on the retina.

Sources

1. [1] https://www.sciencedirect.com/topics/physics-and-astronomy/hyperopia
2. [2] https://www.ncbi.nlm.nih.gov/books/NBK560716/