A light source with a square ("flat top") spectrum covering from 450 nm to 500 nm illuminates two Fabri Perot interferometers placed one after the other. The separations between the plates of the interferometers are d1=10m and d2-7.5m. Both FPs are filled with air. a) If the reflectivity of the mirrors of both interferometers is 99.99%, what is the spectrum of the light that you expect to see after the two Fabri Perot? b) What change (if any) would you see in the spectrum transmitted after the two interferometers if the reflectivity of the mirrors is now 50%? c) For the interferometers described in (a), now we fill the second Fabri Perot with water (refraction index = 1.33). What change (if any) would you see in the spectrum transmitted after the two interferometers?