For a given transparent medium with respect to vacuum, the polarizing angle (Brewster's angle) is i_p and the critical angle for total internal reflection is i_c . Which of the following is the correct mathematical relation between i_p and i_c ?

Step-by-step solution

According to Brewster's law, the refractive index of the medium is related to the polarizing angle i_p by: = (i_p) The critical angle i_c for total internal reflection for the same medium with respect to vacuum is given by: (i_c) = 1 Substituting the value of from the first equation into the second, we get: (i_c) = 1 (i_p) (i_c) = (i_p) Answer: (i_c) = (i_p)