1. Two stars are photographed utilizing a telescope with a circular aperture of diameter of 2.35 m and light with a wavelength of 477 nm. If both stars are 1022 m from us, what is their minimum separation so that we can recognize them as two stars (instead of just one)?
2. A car passes you on the highway and you notice the taillights of the car are 1.15 m apart. Assume that the pupils of your eyes have a diameter of 6.7 mm and index of refraction of 1.36. Given that the car is 13.7 km away when the taillights appear to merge into a single spot of light because of the effects of diffraction, what wavelength of light does the car emit from its taillights (what would the wavelength be in vacuum)?