Part of JOP-01 — Ray Optics: Mirrors, Lenses & Instruments

Defects of Vision and Correction

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The human eye has a near point of 25 cm and a far point at infinity. Myopia (short-sightedness) occurs when the far point is at a finite distance — distant objects focus before the retina. Corrected by a concave lens of power P = -1/far point (in metres). Hypermetropia (far-sightedness) occurs when the near point exceeds 25 cm — nearby objects focus behind the retina. Corrected by a convex lens: 1/f = 1nearpoint\frac{1}{-near point} - 125cm\frac{1}{-25 cm}. Presbyopia (age-related loss of accommodation) often requires bifocal lenses. Astigmatism (non-uniform corneal curvature) is corrected by cylindrical lenses. JEE questions typically provide the defective near/far point and ask for the power of the corrective lens.

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