Last updated: November 2, 2008 PHY 2054 Discussion – Fall ‘08 Practice Exam Problems (Chapter 22) 1. What is the energy of a photon of frequency 5.00×10 14 Hz? (Energy of Photon) 3.31×10-47 J 2. c. 1.33×10-48 J a. 3.31×10 -19 J d. 1.33×10-24 J As the angle of incidence is increased for a ray incident on a reflecting surface, the angle between the incident and reflected rays ultimately approaches what value? (Law of Reflection) c. 90º 3. b. a. zero b. 45º d. 180º A beam of light in air is incident at an angle of 30º to the surface of a rectangular block of clear plastic (n = 1.49). If the velocity of the beam before it enters the plastic is 3.00×10 8 m/s, what is its velocity inside the block? (Index of Refraction) m/s 4. a. 3.00×108 m/s b. 1.93×108 m/s c. 2.01×108 c. 1.35×108 m/s A light ray passes from air through a thin plastic slab (n = 1.3) with parallel sides. If the ray in air makes an angle of 45º with the normal after leaving the slab, what is the angle of incidence for the ray in air as it impinges upon the other side of the slab? (Snell’s Law) a. 33º b. 45º c. 67º d. 58.5º 5. A ray of light is incident on the mid-point of a glass prism surface at an angle of 25.0º with the normal. For the glass, n = 1.55, and the prism apex angle is 30.0º. What is the angle of refraction as the ray enters the air on the far side of the prism? (Light Ray through a Prism) c. 28.4º 6. a. 14.1º b. 22.3º d. 46.0º A beam of light is incident upon a flat piece of glass (n = 1.50) at an angle of incidence of 45º. Part of the beam is transmitted and part is reflected. What is the angle between the reflected and transmitted rays? (Reflected & Refracted Rays) 7. a. 28º b. 73º c. 107º d. 152º A certain kind of glass has nblue = 1.650 for blue light and nred = 1.610 for red light. If a beam of white light (containing all colors) is incident at an angle of 30.0º, what is the angle between the red and blue light inside the glass? (Dispersion) 8. a. 0.22º b. 0.45º c. 1.90º d. 1.81º A ray of light travels across a liquid-to-glass interface. If the indices of refraction for the liquid and glass are, respectively, 1.75 and 1.52, what is the critical angle at this interface? (Critical Angle) a. 30.0º 9. b. 52.2º c. 60.3º d. Critical angle does not exist. A small underwater pool light is 1 m below the surface of a swimming pool. What is the radius of the circle of light on the surface, from which light emerges from the water (n = 1.333)? (Total Internal Reflection) Answers: 1-a a. 0.57 m b. 0.77 m c. 1.13 m d. 1.43 m 2-d 3-c 4-b 5-b 6-c 7-b 8-c 9-c