Mathematics

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Sunglasses with transparency as a function of UV index.

Three pairs of photochromic glasses showing varying lens transparency levels based on UV index: 100% transparency at UV index 0, 59.0% transparency at UV index 5, and 38.7% transparency at UV index 9.

The illustration features three pairs of glasses with photochromic lenses, each showing a different degree of lens darkening based on the UV index. The first pair, labeled with a UV index of 0, has lenses at 100% transparency, appearing fully clear. The second pair corresponds to a UV index of 5, with lenses that are 59.0% transparent, showing a light brown tint. The third pair represents a UV index of 9, where the lenses are significantly darker with only 38.7% transparency, indicating a deeper brown shade. The changes in lens transparency visually explain how photochromic lenses adjust to different UV light intensities.

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