Question #43049

A light source emitting a continuous spectrum of photon energies from $E_{min} = 1.50 \text{ eV}$ to $E_{max} = 4.00 \text{ eV}$ illuminates a Young's Double Slit setup with a slit separation of $d = 1.00 \text{ mm}$. A screen is placed at a distance $D = 2.00 \text{ m}$ from the slits. The screen is coated with a photoelectric material having a work function $\Phi = 2.48 \text{ eV}$, and the interference pattern is recorded by mapping the local photoelectric current density on the screen. Determine the minimum distance $y > 0$ from the central maximum where a bright fringe of the shortest detected wavelength exactly coincides with a dark fringe of the longest detected wavelength. (Take $hc = 1240 \text{ eV}\cdot\text{nm}$)