For a given wavelength one mm of the quartz cur perpendicular to the optic axis rotates the plane of polarisation by `18^(@).` Find for what tichness will no light of this wavelwength be transmitted, when the quartz pices is interpsoed between the pair of pariallel nicols.

One has to manufacture a quartz plate cur parallel to its optical axis and not exceeding 0.50mm is thickness. Find the maximum thickness of the plate allowing plane-polarized light with wavelength lambda = 589 nm (a) to experience only rotation of polarization plane, (b) to acquire circular polarization after passing through that plane.

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 complately cut off by the system and transmits half the light of wavelength 497 nm . The specific rotation constant of quartz for these wavelength is equal to 41.5 and 31.1 angualr degress per mm respectively.

A quartz plate cut parallel to its optical axis is placed between two corssed Nicol prisms so that principle directions form an angle of 45^(@) with the optical axis of the plate. What is the minimum thickness of that plate transmitting light of wavelength lambda = 643nm with maximum intensity while greatly reducing the intensity of transmitting light of wavelength lambda_(2) = 564 nm ? The difference of refractive indieces indices for extroardianry and ordinary rays is assumed to be equal to n_(e) - n_(0) = 0.0090 for both wavelengths.