Abeam of photons with wavelength 150 nm and beam of electrons having the same energy as the photons go through the same slit of width 355 nm. you observe the diffraction pattern on a distant screen. all angles are measured from the centerline. the photons produce their first dark band at an angle α. is the magnitude of α bigger than, equal to, or smaller than the magnitude the angle, β, where the electrons produce their first dark band?

Amichelson interferometer operating at a 600 nm wavelength has a 3.02-cm-long glass cell in one arm. to begin, the air is pumped out of the cell and mirror m2 is adjusted to produce a bright spot at the center of the interference pattern. then a valve is opened and air is slowly admitted into the cell. the index of refraction of air at 1.00 atm pressure is 1.00028.how many bright-dark-bright fringe shifts are observed as the cell fills with air?