한국어로 읽기 The 42° Rainbow

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Sunlight is many colors

White sunlight holds many colors

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Shine white light into a prism

Sunlight looks white, but it is really many colors of light mixed together. Shine it into a triangular block of glass, called a prism, and the colors come out spread from red to violet. Each color bends by a slightly different amount in glass. A raindrop does the same thing.

Why?Light slows down when it enters glass or water, and it changes direction at the boundary. Violet light slows a little more than red light, so it bends a little more. The mixed colors then head off in slightly different directions.

Learn moreAround 1666, Isaac Newton showed that the colors split by a prism turn white again when you bring them back together, proving that white light is a mix of colors. In this prism, red bends by about 38.3° and violet by about 39.8°. That gap is small, so the picture spreads it 4 times wider.

Difference in bending, red vs. violet
1.5°
Red bends by
38.3°
Violet bends by
39.8°

calculated from the refractive index of water (IAPWS, 20 °C) and the laws of refraction and reflection

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Wikipedia: Prism (optics) · Wikipedia: Dispersion (optics)

More in the series

The numbers come from the refractive index formula for water (IAPWS 1997) and the laws of refraction (Snell) and reflection (Fresnel). In the 3D view, the raindrop and the spreading of colors inside it are drawn larger so you can see them.