In an optics lab, two pinholes are illuminated by different colored lasers. One is an orange colored laser with a wavelength of 590 nm, and the other laser is indigo with a wavelength of 445 nm. The goal of the experiment is to create identical-sized diffraction patterns on the distant screen. What should the ratio be between the orange pinhole's diameter and the indigo pinhole's diameter?

In a double-slit experiment, a beam of electrons is directed towards a barrier with two slits. When the electrons pass through the slits and hit a screen behind the barrier, an interference pattern is observed as a result. What does this experiment reveal about the nature of electrons?

Two drones are flying approximately 30 km apart from each other at an altitude of approximately 1500 km. Using Rayleigh's criterion, determine the minimum size necessary for a receiving antenna to resolve the two transmissions, if they transmit radio waves with a wavelength of 5 cm.