Solve the following questions given below:
Question I: Sunlight strikes a piece of crown glass at an angle of incidence of 31.5deg. Calculate the difference in the angle of refraction between a yellow (580 nm) and a violet (410 nm) ray within the glass. The index of refraction is n=1.523 for yellow and n=1.538 for violet light. You have to calculate the angle of refraction for both light rays (they have different indices of refraction). You are looking for the difference of these angles.
Question II: The ray now travels inside the glass. What is the minimum angle of incidence at which the yellow ray can hit the surface of the glass and become there totally internally reflected and not refracted? The angle of incidence is the angle with respect to the normal. Now the beam comes from inside and wants to leave the medium. Since the index of refraction of the medium is larger than 1 (index of refraction of air) there is a critical angle at which the beam is totally internally reflected.
Please use as much detail as possible in your answer. Thanks.