3. For an incoming ray of light vacuum wavelength 589 nm, fill in the unknown values in the following table.

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1 Homework Set 15A: Mirrors and Lenses 1. Find the angle of refraction for a ray of light that enters a bucket of water from air at an angle of 25 degrees to the normal. 2. A ray of light of vacuum wavelength 550 nm traveling in air enters a slab of transparent material> The incoming ray makes and angle of 40 degrees with the normal, and the refracted ray makes an angle of 26 degrees with the normal. Find the index of refraction of the transparent material. (Assume that the index of refraction of air for light of wavelength 550 nm is 1.00) 3. For an incoming ray of light vacuum wavelength 589 nm, fill in the unknown values in the following table. From medium To medium I r a) flint glass crown glass 25 degrees? b) air? 14.5 degrees 9.8 degrees c) air diamond? 12.5 degrees 4. Find the critical angle for light traveling form water (n=1.333) into ice (n=1.309). 5. When white light passes through a prism, which will be bent more, the red or green light? 6. After a storm, a man walks out onto his porch. Looking to the east, he sees a rainbow that has formed above his neighbor s house. What time of day is it, morning or evening? 7. Does a light ray traveling from one medium into another always bend toward the normal? 8. As light travels from a vacuum (n=1) to a medium such as glass (n>1), does its wavelength change? Does its velocity change? 9. Why does a clear stream always appear to be shallower than it actually is? 10. What are the three conditions that must be met for refraction to occur? 11. Why does an oar appear to be bent when part of it is in the water? 12. A friend throws a coin into a pool. You close your eyes and dive toward the pot where you saw it from the edge of the pool. When you reach the bottom, will the coin be in front of you or behind you? 13. On a hot day, what is it that we are seeing when we observe a water on the road mirage? 14. Why does the arc of a rainbow appear with red colors on top and violet colors on the bottom?

2 15. A flashlight on the bottom of a 4.00 m deep swimming pool sends a ray upward and at an angle that the ray strikes the surface of the water 2.00 m from the point directly above the flashlight. What angle (in air) does the emerging ray make with the water s surface? (Hint: To determine the angle of incidence, consider the right triangle formed by the light ray, the pool bottom, and the imaginary line straight down from where the ray strikes the surface of the water.) 16. A submarine is 325 m horizontally out from the shore and 115m beneath the surface of the water. A laser beam is sent from the sub so that it strikes the surface of the water at a point 205 m from the shore. If the beam strikes the top of a building standing directly at the water s edge, find the height of the building. (Hint: To determine the angle of incidence, consider the right triangle formed by the light beam, the horizontal line drawn at the depth of the submarine, and the imaginary line straight down from where the beam strikes the surface of the water.)

3 Homework Set 15B: Mirrors and Lenses 1. Which of the following are examples of specular reflection and which are examples of diffuse reflection? a) reflection of light from the surface of a lake on a calm day b) reflection of light from a plastic trash bag d) reflection of light from a carpet 2. Suppose you are holding a flat mirror and standing at the center of a giant clock face built into the floor. Someone standing at 12 o clock shines a beam of light toward you, and you want to use the mirror to reflect the beam toward an observer standing at 5 o clock. What should the angle of incidence be to achieve this? What should the angle of reflection be? 3. A concave mirror has a focal length of 10.0 cm. Find the image distance and magnification of the mirror in the sample problem when the object distances are (a) 10.0 cm and (b) 5.00 cm. Are the images real or virtual? Are the images inverted or upright? 4. A concave shaving mirror has a focal length of 33 cm. Calculate the image position of a cologne bottle placed in from of the mirror at a distance of 93 cm. Calculate the magnification of the image. Is the image real or virtual? Is the image inverted or upright? 5. A convex mirror with a radius of curvature of m is placed above the aisles in a store. Determine the image distance and magnification of a customer lying on the floor 3.1 m below the mirror. Is the image virtual or real? Is the image inverted or upright? 6. A candle is 49 cm in front of a convex spherical mirror that has a focal length of 35 cm. What are the image distance and magnification? Is the image virtual or real? Is the image inverted or upright? 7. How can an object be a specular reflector for some electromagnetic waves yet be diffuse for others? 8. Why do the images produced by two opposing flat mirrors appear to be progressively smaller? 9. What type of mirror should be used to project movies images on a large screen? 10. If an object is placed outside the focal length of a concave mirror, what type of image will be formed? Will it appear in front of or behind the mirror? 11. Can you use a convex mirror to burn a hole in paper by focusing light rays at the mirror s focal point? 12. Can the image produced by a convex mirror ever be larger than the object?

4 Homework Set 15C: Mirrors and Lenses 1. Draw ray diagrams (2) for 16B #3. 2. Draw a ray diagram for 16B #4. 3. Draw a ray diagram for 16B #6. 4. Which type of lens can focus the sun s rays? 5. Why is no image formed when an object is at the focal point of a converging lens? 6. Consider the image formed by a thin converging lens. Under what conditions will the image be a) inverted? b) upright? c) real? d) virtual? e) larger than the object? f) smaller than the object? 7. Repeat a-f of item 6 for a thin diverging lens. 8. In order to get an upright image, slides must be places upside down in a slide projector. What type of lens must the slide projector have? Is the slide inside or outside the focal point of the lens? 9. A converging lens has a focal length of 20.0 cm. Locate the images for objects distances of a) 40.0 cm b) 10.0 cm 10. For each case in item 10, state whether the image is real or virtual and upright or inverted, and find the magnification. 11. A diverging lens has a focal length of 20.0 cm. Locate the images for object distances of a) 40.0 cm b) 20.0 cm c) 10.0 cm 12. For each case in item 11, state whether the image is real or virtual and upright or inverted, and find the magnification.

5 13. A magnifying glass has a converging lens of focal length 15.0 cm. At what distance from a nickel should you hold this lens to get an image with a magnification of +2.00?

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