All Problems

Dispersion and Absorption of Light

Problem 5.212

A beam of natural light of intensity \(I_{0}\) falls on a system of two crossed Nicol prisms between which a tube filled with certain solution is placed in a longitudinal magnetic field of strength \(H\). The length of the tube is \(l,\) the coefficient of linear absorption of solution is \(x,\) and the Verdet constant is \(V .\) Find the intensity of light transmitted through that system.

Reveal Answer
I=1/2I0exlsin2φ, where φ=VlHI=1 / 2 I_{0} \mathrm{e}^{-x l} \sin ^{2} \varphi, \text { where } \varphi=V l H_{\bullet}