Rainbows are formed when light strikes raindrops and is reflected and refracted.

Question

Rainbows are formed when light strikes raindrops and is reflected and refracted. as show n in the figure. (This figure shows a cross section of a spherical raindrop), The Law of Refraction states that (sin alpha)/(sin beta) - k. where k infinity 1.33 (for water). The angle of deflection is given by l> = pi + 2 alpha - 4 beta Use a graphing utility to graph D = pi + 2a - 4 sin -1 (1/k sin alpha). Prove that the minimum angle of deflection occurs when cos alpha = k2 - 1 / 3 For water. what is' the minimum :mangle of deflection. Dmin? (The angle pi - Dmin is called the rainbow angle.) What value of alpha produce* this minimum angle? (A ray of sunlight strikes a raindrop at this angle, alpha. is called a rainbow ray,)

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can you post a better photo?

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