recitation11-solutions - Physics 2760 Recitation 33.2 Three...

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Unformatted text preview: Physics 2760 Recitation 11/11/2008 33.2 Three plane mirrors intersect at right angles. A beam of laser light strikes the first of them at an angle Ω with respect to the normal. a) Show that when this ray is reflected off of the other two mirrors and crosses the original ray, the angle α between these two rays will be α = 180° − 2θ . b) For what angle θ will the two rays be perpendicular when they cross? 33.20 At the very end of Wagner's series of operas Ring of the Nibelung, Brünnhilde takes the golden ring from the finger of the dead Siegfried and throws it into the Rhine, where it sinks to the bottom of the river. Assuming that the ring is small enough compared to the depth of the river to be treated as a point and that depth of the Rhine where the ring goes in is 10 m, what is the area of the largest circle at the surface of the water over which light from the ring could escape from the water? (nair = 1, nwater = 1.33) 33.47 You sight along the rim of a glass with vertical sides so that the top rim is lined up with the opposite edge of the bottom. The glass is a thin‐walled hollow cylinder 16.0 cm high with a top and bottom of the glass diameter of 8.0cm. While you keep your eye in the same position, a friend fills the glass with a transparent liquid, and you then see a dime that is lying at the center of the bottom of the glass. What is the index of refraction of the liquid? 34.13 A dentist uses a curved mirror to view teeth on the upper side of the mouth. Suppose she wants an upright image with a magnification of 2.00 when the mirror is 1.25 cm from a tooth. (Treat this problem as though the object and image lie along a straight line.) a) What kind of mirror is needed? Use a ray diagram to decide, without performing any calculations. b) What must be the focal length of this mirror? c) What must be the radius of curvature of this mirror? A concave mirror has a focal length of 40 cm. Determine the object position for which the resulting image is inverted and four times the size of the object. Draw a ray diagram for this situation. ...
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