Problem 1: Consider light passing from air into water. For convenience, the index of refraction for a variety of materials is provided below. Materials at 20 C for light with a vacuum wavelength of 589 nm. Material n Material n Material n benzene 1.501 diamond 2.419 plexiglas 1.51 carbon disulfide 1.628 fluorite 1.434 quartz (crystalline) 1.544 carbon 1.461 glass tetrachloride 1.52 crown) quartz (fused) 1.458 ethanol 1.361 glass (flint) 1.66 sodium chloride 1.544 glycerine 1.473 ice (0.C) 1.309 zircon 1.923 water (fresh) 1.333 polystyrene 1.49 air 1.00029 What is the ratio of its wavelength in water to its wavelength in air? 2w/ha = Problem 2: Consider a 465 nm wavelength blue light falling on a pair of slits separated by 0.025 mm. At what angle (in degrees) is the first-order maximum for the blue light? 0 = Problem 4: Consider a 540 nm light falling on a single slit of width 0. 75 um. Randomized Variables 2 = 540 nm w = 0.75 um At what angle (in degrees) is the first minimum for the light? 0 = Problem 5: The 300 m diameter Arecibo radio telescope is observing the Andromeda galaxy at a wavelength of 11 cm. Part (a) What is the angle between two just-resolvable stars for this telescope in radians? 0 = Part (b) How close together could these point sources be at the 2.5 million light year distance of the Andromeda galaxy in ly? d =