1. Two layers of transparent glass with different indices of refraction are stacked on top of each other, one layer has index of refraction n, =1.600 and path length L, = 20.0µm while the other has index of refraction n, =1.430 and path length L, =16.0µm . Each layer is illuminated with a ray of light of air wavelength 1 =640.0 nm and the two parallel rays are initially in phase. After passing through the glass and air the two light rays are recombined at a point far away without further phase shifts and there is interference. a. What multiple of 1 gives the phase difference between the two paths after both rays have emerged from the layers and have been recombined far away from the layers? b. Is the interference totally constructive or totally destructive or partially constructive or partially destructive?

A light ray whose frequency is 7.00 × 1014 Hz in vacuum is incident on glass (n = 1.50). Determine the wavelength of the light after it enters the glass (in nm).      (c = 3 x 108 m/s)

c) A ray of laser light is incident on an ice prism with the value of refractive index, n = 1.31 at a 5 UTM & UTMngle 25° UTM 60 5 UTM & UTM A &UTM UTM. 5 UTM i. 60° 60° Calculate the angle Figure 3 Based on the figure above, explain the propagation of light from ice prism to the ii. AJTM air medium and state the related law. UTM UTM K 7TM UTM TM TM

2. (6 points) A predatory Angler Fish has evolved bioluminescence, so that it can make its own light that it uses like a flashlight to help see its prey. A species of jellyfish lives in deep ocean water (so that the only light that reaches it is the light produced by the angler fish). The index of refraction of water is 1.333. The body of the jellyfish is mostly water surrounded by a "thin film" of transparent cells with an index of refraction ncells = 1.19. If the body of the jellyfish is 0.5 μm thick, what color of light should the fish produce to be able to see the jellyfish? water water cells 2(1.50) (0.5X105 m) = (m+11) ~

Light originating in air is normally incident on a thin film of thickness 150nm with index of refraction n₁ = 1.5 that lies on top of a material with index of refraction n₂ = 1.2, as illustrated. nAir n1 n2 Determine the longest wavelength of light that is maximally reflected. O 450nm O 900nm O 600nm O 300nm

A soap bubble (n = 1.35) is floating in air. If the thickness of the bubble wall is 300 nm, which of the following wavelengths of visible light is strongly reflected? A) 620 nm (red) B) 580 nm (yellow) C) 540 nm (green) D) 500 nm (blue) Why does m=1?

Q 1. In a Newton's ring arrangement with air film observed with the light of wavelength 6× 10 cm, the difference of squares of diameters of successive rings is 0.125 cm?. What will happen to this quantity if: (a)Wavelength of light is changed to 4.5 × 10° cm. (b)A liquid of refractive index 1.33 is introduced between the lens and the plate. (c)The radius of curvature of the convex surface of the plano-convex lens is doubled. 700 om