Homework 8

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Louisiana State University *

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2002

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Physics

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Dec 6, 2023

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Homework 8: 1. The drawing shows a top view of an object located to the right of a mirror. A single ray of light is shown leaving the object. After reflection from the mirror, through which location, A, B, C, or D, does the ray pass? Answer: 2. You are trying to photograph a bird sitting on a tree branch, but a tall hedge is blocking your view. However, as the drawing shows, a plane mirror reflects light from the bird into your camera. For what distance must you set the focus of the camera lens in order to snap a sharp picture of the bird’s image? Answer:

3. Two plane mirrors are separated by 120  , as the drawing illustrates. If a ray strikes mirror M 1 at a 65  angle of incidence, at what angle  does it leave mirror M 2 ? Answer: 4. The drawing shows a laser beam shining on a plane mirror that is perpendicular to the floor. The angle of incidence is 33.0  . The beam emerges from the laser at a point that is 1.10 m from the mirror and 1.80 m above the floor. After reflection, how far from the base of the mirror does the beam strike the floor? Answer:

5. The image of a very distant car is located 69 cm behind a convex mirror. What is the radius of curvature of the mirror? Answer: 6. A 1.70-cm-high object is situated 12.5 cm in front of a concave mirror that has a radius of curvature of 11.6 cm. Calculate (a) the location and (b) the height of the image. (a): (b): 7. Many nocturnal animals demonstrate the phenomenon of eyeshine, in which their eyes glow various colors at night when illuminated by a flashlight or the headlights of a car (see the photo). Their eyes react this way because of a thin layer of reflective tissue called the tapetum lucidum that is located directly behind the retina. This tissue reflects the light back through the retina, which increases the available light that can activate photoreceptors, and thus improve the animal’s vision in low-light conditions. If we assume the tapetum lucidum acts like a concave spherical mirror with a radius of curvature of 0.750 cm, how far in front of the tapetum lucidum would an image form of an object located 30.0 cm away? Neglect the effects of the other structures of the eye, such as the cornea and lens. Answer:

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8. The image behind a convex mirror (radius of curvature = 59.0 cm) is located 21.0 cm from the mirror. (a) Where is the object located (give the distance to the mirror) and (b) what is the magnification of the mirror? (a): (b): 9. A small statue has a height of 3.49 cm and is placed in front of a concave mirror. The image of the statue is inverted, 1.47 cm tall, and located 11.6 cm away from the mirror. Find the focal length of the mirror. Answer: 10. A concave mirror (f = 40 cm) produces an image whose distance from the mirror is one- third the object distance. Determine (a) the object distance and (b) the (positive) image distance. (a): (b):

11. A convex mirror has a focal length of -28 cm. Find the magnification produced by the mirror when the object distance is (a) 7 cm and (b) 21 cm. (a): m 1 = (b): m 2 = 12. A concave mirror has a focal length of 26.3 cm. The distance between an object and its image is 41.9 cm. Find (a) the object and (b) image distances, assuming that the object lies beyond the center of curvature and (c) the object and (d) image distances, assuming that the object lies between the focal point and the mirror. (a): (b): (c): (d):

13. A candle is placed 18.43 cm in front of a convex mirror. When the convex mirror is replaced with a plane mirror, the image moves 7.0 cm farther away from the mirror. Find the focal length of the convex mirror. f=

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