A narrow beam of white light strikes one face of a slab of silicate flint glass.

Question

A narrow beam of white light strikes one face of a slab of silicate flint glass. The light is traveling parallel to the two adjoining faces, as shown in the following figure(Figure 1).

For the transmitted light inside the glass, through what angle ?? is the portion of the visible spectrum between 400 nm and 700 nm dispersed? (Consult the graph in the following figure(Figure 2).)

Express your answer to one significant figure and include the appropriate units.

Explanation / Answer

n1 sin theta1 = n2 sin theta2

theta2 = sin-1 [1 * sin (90 - 55) / 1.66]

theta2 = 20.21 deg

n1' sin theta1' = n2' sin theta2'

theta2' = sin-1 [1 * sin (90 - 55) / 1.62]

theta2' = 20.74 deg

delta theta = 20.74 - 20.21

delta theta = 0.53 deg

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