Discuss the below in detail:
1. The telescope on Mount Palomar has a diameter of 200 inches. Suppose a double star were 8.40 light-years away. Under ideal conditions, what must be the minimum separation of the two stars for their images to be resolved using light of wavelength 550 nm?
2. The Impressionist painter Georges Seurat used a technique called pointillism , in which his paintings are composed of small, closely spaced dots of pure color, each about 2 mm in diameter. The illusion of the colors blending together smoothly is produced in the eye of the viewer by diffraction effects. Calculate the minimum viewing distance for this effect to work properly.
Hint: Use the wavelength of visible light that requires the greatest distance, so that you're sure the effect will work for all visible wavelengths. Assume the pupil of the eye has a diameter of 3 mm.