Show all yourwork tor the following questions. Make sure to show all the formula used and have proper significant digits to receive full marks. 1. A light ray strikes a water/amber surface at an angle of 47 with respect to the normal. The refraction index furwaler is 1.33 and amber is 1.55. Determine the angle of refraction when the direction of the ray is going from (6) a. water to amber b. amber to water c. When Will this have a critical angle and at what angle IS it? 2 A concave lens With a center of curvature at 6.25cm has an object that is 2.5cm from the lens. (Do not forget to put other descriptions of what it means as well.) (6i a. Determine the location of the image. b. Determine the magnification of the lens. c. lfthe height of the object is 1 56cm, determinethe image high of the object. 3. A diffraction grating with 750 lines per mm is illuminated With light with wavelength of 565nm. Determine the angle from the center to the rst emission lines. ill 4 An X'I''f light source with a wavelength of 1 59 x 10'\"m is shot at a piece of graphite. Onthe other side, the xeray is observed to have scattered at an angle oi 23.8\" away from the original path. Determine the speed nfthe ejected electron. (3) 5. Light with a wavelength of 106nm shines on a surface, which has a work function of 9.39V. The ejected electrons have same kinetic energy. Determine the maximum speed with which the electrons are ejected. (3i