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# hw6 - Physics 1C'0(II A person Whose eyes ar 2.30 m in...

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Unformatted text preview: Physics 1C '0' (II) A person Whose eyes ar . 2.30 m in front of a vertical plane mirror whose bottom edge is 40 cm above the floor. Fig. 33-44. What is the horizontal distance x to the base of the wall supporting the mirror of the nearest point on the ﬂoor that can be seen reﬂected in l the mirror? (5111) If you look at yourself in a shi with a diameter of 9.0 cm when you from it, where is your image? Is it real or virtu upright or inverted? al? Is it light rays strike one mirror at 40° as shown, at Mm: L do they leave t (f . (11) Two plane mirrors meet at a 135° angle’Fig. i he second mirror? (0 40° EGEFE 33-45 3". (11) Some rearview mirrors produce images of cars to yout MW rear that are Smaller than they WOU1d be if the mirror Ware 7‘ ﬂat. Are the mirrors concave or convex? What is a mirroIiS mirrors meet at an angie ridiuslot Civirvature if cars 20.0m away appear 0,33 thelfll n rma Size. ‘3. (11) Show that if two plane . single ray reﬂected successwely from both mirrorsrg deﬂected through an angle of 2d) independent of the J dent angle. Assume 45 < 90° and that only two reﬂection; if . a 7 7 2 I 2: / ___. s one from each mirror, take place. 9‘3, (II) (a) Where should an object be placed in front of a con— cave mirror so that it pro as the object?'(b) Is the image real 0 image inVerted or erect the image? duces an image at the same location r virtual? (C) Is the ? (d) What is the magnification of I? (11) Show with ray diagrams that the magnification of a con? cave mirror is less than 1 if the object is beyond the centerot curvature C, and is greater than 1 if it is within this point. 5 (ll) Light is incident on an equilateral glass prism at 1: 96" a 45.0° angle to one face, Fig. 33—46. Calculate the angle : Bonus PrOblems at which light emerges from the opposite face. Assume that ; n = 1.50. . L 3. (111) A beam of light enters the end or an opt-1c ﬁber“ shown in Fig. 33—51. Show that we can guarantee tom 5 nal reﬂection at the side surface of the material (at point a), i if the index of refraction is greater than about 1.42.111 0M l i words, regardless of the angle a, the light beam reflectska 1 FIGURE 33—46 into the material at point 21. Problems 36 : l . . Q 37, (II) In searching the bottom of a pool at night, a watchman; n l g {:4 0 ' shines a narrow beam of light from his flashlight, 1.3m: i l a above the water level, onto the surface of the water at ai ; point 2.7m from his foot at the edge of the pool} (Fig. 33—47). Where does the spot of light hit the bottom of l I the pool, measured from the wall beneath his foot, if the: 1 A“ pool is 2.1 m deep? Transparent FIGURE 33-51 material Problem 53, ______=——_______=-—=—-————__———'—‘—"—-———-———“‘—* 6;. When light passes through a prism, the angle that the refracted ray makes relative to the incident ray is called the deviation angle 5, Fig. 33—55. Show that this angle is a minimum when the ray passes through the prism symmetri— cally, perpendicular to the'bisector of the apex angle ¢, and Show that the minimum deviation angle, 6m , is related to the i prism’s index of refraction n by sin1§(¢ + 5m) sin ¢/2 ' n: 4?- (II) A beam of light is emitted in a pool'of water from a depth of 82.0 cm. Where must it strike the air—water inter- face, relative to the spot directly above it. in order that the light does not exit the water? i k__ R ___>| air ...
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hw6 - Physics 1C'0(II A person Whose eyes ar 2.30 m in...

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