Red light ( n = 1.520) and violet light ( n =1.538) traveling in air are inciden

Question

Red light (n = 1.520) and violet light (n =1.538) traveling in air are incident on a slab of crown glass. Bothcolors enter the glass at the same angle of refraction. The redlight has an angle of incidence of 39.94°. What is the angle ofincidence of the violet light? Give your answer to four significantfigures.

Red light (n = 1.520) and violet light (n =1.538) traveling in air are incident on a slab of crown glass. Bothcolors enter the glass at the same angle of refraction. The redlight has an angle of incidence of 39.94. What is the angle ofincidence of the violet light? Give your answer to four significantfigures.

Explanation / Answer

Rrfractive index of red n = 1.52

Refractive index of violet n ‘ = 1.538

Angle of incidence of red light I = 39.94 degrees

Weknow n = sin I / sin r

          Sin r =sinI / n

               r = 24.98 degrees

for violet light , n ‘ = sin I ‘ / sin r

               sin I ‘ = n ‘ * sin r

                         = 0.64958

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