An unpolarized light of intensity I_o passes through polarizer and then through a certain optically active solution and finally it goes to analyser. If the angle between analyser and polariser is 0° and intensity of light emerged from analyser is 3 8 I_o , the angle of rotation of the light by the solution with respect to analyser is _______ degrees.

Step-by-step solution

Intensity of light after passing through the first polarizer is: I₁ = I_o 2 Let the optically active solution rotate the plane of polarization by an angle . Since the angle between the polarizer and the analyser is 0^ , the angle between the plane of polarization of the light emerging from the solution and the transmission axis of the analyser is also . According to Malus's law, the intensity of light emerging from the analyser is: I₂ = I₁ ^2 = I_o 2 ^2 Given that the final intensity is 3 8 I_o , we have: I_o 2 ^2