PHYS-2326: University Physics-II HOMEWORK PROBLEMS Ch-35 Chapter 35: Khalid Bukhari Name: _______________________________________ NATURE OF LIGHT AND GEOMETRIC OPTICS NOTE: Solve all problems. Any four problems from this HW will be graded, and the marks for this HW will be based on these only. Show the equations and calculations, and box your answer. Be sure to include the units. 1. The wavelength of the infrared Carbon-dioxide laser light in air is 10.6 μm. Calculate its frequency, wavelength and speed in water. 2. From 2 meters inside the water, a fish sees the Sun at an apparent angle of 30.0° from the vertical. What is the actual elevation angle of the Sun above the horizontal? 3. Figure P35.8 shows a light beam passing from air into linseed oil, and then into water. The index of refraction of linseed oil is 1.48, and angle θ= 35°. Calculate the angles α and θ’. 1 PHYS-2326: University Physics-II Ch-35 Khalid Bukhari 4. An opaque cylindrical tank with an open top has a diameter of 3.00 m and is completely filled with water. When the afternoon Sun reaches an angle of 30° above the horizontal, sunlight ceases to illuminate any part of the base of the tank. How deep is the tank. 5. The index of refraction for violet light in silica flint glass is 1.66, and that for red light is 1.62. What is the angular spread of visible light passing through a prism of apex angle 60.0° if the angle of incidence is 20.0°? See Figure P35.33. 6. Consider the light ray incident normally on the top surface of diamond with angles as shown in the figure. Will this ray be totally internally reflected at point P? The refractive index of diamond is 2.419 P 40° 2 PHYS-2326: University Physics-II Ch-35 7. Assume a transparent rod of diameter d = 1.50 m has an index of refraction of 1.46. Determine the maximum angle for which the light rays incident on the end of the rod in Figure P35.39 are subject to total internal reflection along the walls of the rod. Your answer defines the size of the cone of acceptance for the rod. 8. A triangular prism with an apex angle =60° has an angle of refraction n = 1.50 What is the smallest angle of incidence θ for which a light ray can emerge from the other side. Khalid Bukhari θ 3
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