PH 202 Homework Assignment Chapter on Optics Refraction - NMU Physics

PH 202 Homework Assignment Chapter on Optics Refraction ? 40 Problems Total

1. A plate glass window (n = 1.5) has a thickness of 4.0 x 10-3 m. How long does it take light to pass perpendicularly through the plate?

Solution for Problem 1

2. In an ultra-low-temperature experiment, a collection of sodium atoms enter a special state called a Bose-Einstein condensate in which the index of refraction is 1.57 x 107. What is the speed of light in this condensate?

Solution for Problem 2

3. The frequency of a light wave is the same when the light travels in ethyl alcohol or in carbon disulfide. Find the ratio of the wavelength of the light in ethyl alcohol to that in carbon disulfide.

Solution for Problem 3

4. A flat sheet of ice has a thickness of 2.0 cm. It is on top of a flat sheet of crystalline quartz that has a thickness of 1.1 cm. Light strikes the ice perpendicularly and travels through it and then through the quartz. In the time it takes the light to travel through the two sheets, how far (in centimeters) would it have traveled in a vacuum?

Solution for Problem 4

5. A layer of oil (n = 1.45) floats on an unknown liquid. A ray of light originates in the oil and passes into the unknown liquid. The angle of incidence is 64.0?, and the angle of refraction is 53.0?. What is the index of refraction of the unknown liquid?

Solution for Problem 5

6. The drawing shows a coin resting on the bottom of a beaker filled with an unknown liquid. A ray of light from the coin travels to the surface of the liquid and is refracted as it enters into the air. A person sees the ray as it skims just above the surface of the liquid. How fast is the light traveling in the liquid?

Solution for Problem 6 7. Amber (n = 1.546) is a transparent brown-yellow fossil resin. An insect, trapped and preserved within the amber, appears to be 2.5 cm beneath the surface when viewed directly from above. How far below the surface is the insect actually located?

Solution for Problem 7 8. A beam of light is traveling in air and strikes a material. The angles of incidence and refraction are 63.0? and 47.0?, respectively. Obtain the speed of light in the material.

Solution for Problem 8 9. A stone held just beneath the surface of a swimming pool is released and sinks to the bottom at a constant speed of 0.48 m/s. What is the apparent speed of the stone, as viewed from directly above by an observer who is in air?

Solution for Problem 9

10. In Figure 26.6, suppose that the angle of incidence is 1 = 30.0?, the thickness of the glass pane is 6.00 mm, and the refractive index of the glass is n2 = 1.52. Find the amount (in mm) by which the emergent ray is displaced relative to the incident ray.

Solution for Problem 10 11. A small logo is embedded in a thick block of crown glass (n = 1.52), 3.20 cm beneath the top surface of the glass. The block is put under water, so there is 1.50 cm of water above the top surface of the block. The logo is viewed from directly above by an observer in air. How far beneath the top surface of the water does the logo appear to be?

Solution for Problem 11 12. A point source of light is submerged 2.2 m below the surface of a lake and emits rays in all directions. On the surface of the lake, directly above the source, the area illuminated is a circle. What is the maximum radius that this circle could have?

Solution for Problem 12 13. A ray of light is traveling in glass and strikes a glass?liquid interface. The angle of incidence is 58.0?, and the index of refraction of glass is n = 1.50. (a) What must be the index of refraction of the liquid so that the direction of the light entering the liquid is not changed? (b) What is the largest index of refraction that the liquid can have, so that none of the light is transmitted into the liquid and all of it is reflected back into the glass?

Solution for Problem 13

14. The drawing shows a crown glass slab with a rectangular cross section. As illustrated, a laser beam strikes the upper surface at an angle of 60.0?. After reflecting from the upper surface, the beam reflects from the side and bottom surfaces. (a) If the glass is surrounded by air, determine where part of the beam first exits the glass, at point A, B, or C. (b) Repeat part (a), assuming that the glass is surrounded by water instead of air.

Solution for Problem 14 15. The drawing shows a ray of light traveling from point A to point B, a distance of 4.60 m in a material that has an index of refraction n1. At point B, the light encounters a different substance whose index of refraction is n2 = 1.63. The light strikes the interface at the critical angle of c = 48.1?. How much time does it take for the light to travel from A to B?

Solution for Problem 15 16. Light is reflected from a glass coffee table. When the angle of incidence is 56.7?, the reflected light is completely polarized parallel to the surface of the glass. What is the index of refraction of the glass?

Solution for Problem 16

17. Light is incident from air onto the surface of a liquid. The angle of incidence is 53.0?, and the angle of refraction is 34.0?. At what angle of incidence would the reflected light be 100% polarized?

Solution for Problem 17

18. In the figure below light strikes the surface of a liquid at the Brewster angle, and the reflected light is 100% polarized. Suppose the light originates in air and the angle of refraction in Figure 26.17 is 2 = 33.7?. Find the value of the index of refraction n2 of the liquid.

Solution for Problem 18

19. A beam of sunlight encounters a plate of crown glass at a 45.00? angle of incidence. Using the data given below, find the angle between the violet ray and the red ray in the glass.

Index of Refraction Data:

= 1.520

= 1.538

Solution for Problem 19

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