A parallel beam of light containing two wavelengths, ? 1 = 415 nm and ? 2 = 735

Question

A parallel beam of light containing two wavelengths, ?1 = 415 nm and ?2 = 735 nm, enters the silicate flint glass of an equilateral prism as shown in Fig. 24-58 (? = 44?). At what angle, with respect to the normal, does each beam leave the prism?(Use the index of refraction 1.66 for violet light and 1.62 for red light)

?1 from the normal ? ?2 from the normal ? A parallel beam of light containing two wavelengths, ?1 = 415 nm and ?2 = 735 nm, enters the silicate flint glass of an equilateral prism as shown in Fig. 24-58 (? = 44). At what angle, with respect to the normal, does each beam leave the prism?(Use the index of refraction 1.66 for violet light and 1.62 for red light)

Explanation / Answer

apply snells law in each case as na sinA = nb sin B

so when viloet light is used,

here na = 1 and nb = 1.66

sin B = 1 * sin 44/1.66

sin B   = 0.4184

B = 24.73 deg

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when Red light is used,

sin B = sin 44/1.62

sin B = 0.4288

B = 25.39 deg

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