Calculate the thickness of a quartz quarter- wave plate for sodium light `(lambda=5893Å)` given that the index of refraction of quartz for ordinary and extraordinary rays are 1.5442 and 1.5533 respectively.

Calculate the thickness of a quarter- wave plate for light of wavelength 4000Å for which mu_(0)=1.5632 " and "mu_(e)=1.5541.

Calculate the thickness of (i) a quarter wave plate (ii) a half-wave plate, given that mu_(e) =1.533 mu_(o) =1.544 lamda=5000 Å.

If a ray of light is incident on a plate inside water at an angle of 45^(@) , what is the angle of refraction inside the plate? Given that the absolute refractive indices of the plate and water are 1.88 and 1.33 respectively.

The wavelength of sodium light in glass if it is 589.3 nm in air is (The refractive index of glass is 1.5)

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.

The diamond has refractive index of 2.4 for sodium light of wavelength 5893 Å in air. The speed and wavelength of this light in diamond are