Problem 5.192

Light passes through a system of two crossed Nicol prisms between which a quartz plate cut at right angles to its optical axis is placed. Determine the minimum thickness of the plate which allows light of wavelength 436 nm to be completely cut off by the system and transmits half the light of wavelength \(497 \mathrm{nm}\). The specific rotation constant of quartz for these wavelengths is equal \(\begin{array}{llllllll}\text { to } & 41.5 & \text { and } & 31.1 & \text { angular degrees per mm respectively. }\end{array}\)