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Unit 6 Progress Check: FRQ describe your reasoning. 2. This question is a short free-response question. Show your work for each part of the question.

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Unit 6 Progress Check: FRQ describe your reasoning. 2. This question is a short free-response question. Show your work for each part of the question. (10 points, suggested time 20 minutes) A beam of monochromatic light in air is incident on a block whose top half is glass with an index of refraction of n = 1.5 and whose bottom half is cubic zirconium with an index of refraction of n = 2.1. (a) On the figure below, draw a possible path of the beam as it travels through the block and into the air below the block. Do not draw any reflected beams. Light Beam Air n = 1.0 230 Glass n = 1.5 Cubic Zirconium n = 2.1 310.0 Air n = 1.0 010.0 b) The beam in air is incident on the glass at an angle of 30 to the normal. What is the angle of refraction of the beam in the cubic zirconium? (c) Two lenses of the exact same shape are made, one from the glass and one from the cubic zirconium. The focal length of a lens is given by 7 = (n - 1)k, where k depends only on the shape of the lens and n is the index of refraction of the lens material. When an object is placed 40 cm from the cubic zirconium lens, a real image is formed at 15 cm on the other side of the lens. If the object is placed 40 cm from the glass lens, at what distance will an image be formed? n = index of retraction

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