1. (2 points) A glass rod of length 100 mm is placed in between a polarizer and an analyzer whose axes make an angle of 30". A laser beam falls on the polarizer which after passing through the polarizer incidents on the glass rod. If the intensity of the polarized light incident on the glass rod is 50 units, find the intensity of the light coming out of the analyzer. 2. (2 points) A magnetic field is needed to be applied to the glass rod. For this purpose, you built a solenoid of length 15 cm that has 1400 turns. Using the assumption that the solenoid is infinitely long, what would be the magnetic field at the center of the solenoid if it carries a current of 3A. 3. (2 points) Now a magnetic field is applied to the glass rod (same as in Q1) using the arrangement in Q2. If you want to get the same intensity unit as in problem 1, by how many degrees angle do you need to rotate the analyzer. (Use Verdet constant of the glass = 23 rad per mT) 4. (2 points) In the DC method, using the same arrangement as in previous questions, you found the intensity of laser coming out of the analyzer that is at +45' as 62 units and 72 units in the absence and in the presence of the magnetic field respectively. What would be the Verdet constant of the sample? 5. (2 points) In the AC method using the same solenoid but with a current of 0.3A, you obtained the Lock-in reading at 45" in the absence and in the presence of a magnetic field respectively as 53 m V and 0.710 mV. What would be the Verdet constant of the sample