A horizontal glass sheet with thickness T and refractive index n = 1.62 is suspended in the air. It is illuminated from above, and you observe the reflected light with your eye above the sheet.

a)Draw a diagram showing the sheet, your eye, and all the incident, reflected and transmitted rays you need to evaluate the intensity reaching your eye. Show all reflection phase flips (if any).

b)Suppose that the incident light has a wavelength of 400 nm. Find the smallest nonzero thickness T of the glass such that no light reaches your eye. Discuss your reasoning in detail, and justify all phase shifts.

c) Now suppose that the incident light consists of a mix of TWO wavelengths, 400 nm and 700 nm. Again find the smallest nonzero thickness T of the glass such that no light of either wavelength reaches your eye. There should only be one answer for T