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A plate of glass (n = 1.5) is placed over a flat plate of plastic (n = 1.2). A thin film of water (n = 1.33) is trapped between the plates as illustrated in the diagram below. Glass (n = 1.5) Plastic (n = 1.2) Side view 2 Water film (n=1.33) Light of frequency f = 4.8 x 10¹4 Hz is incident from above at essentially normal incidence. The locations of the dark and bright fringes, as viewed from above, are indicated in the top-view diagram below. Top view A

A plate of glass (n = 1.5) is placed over a flat plate of plastic (n = 1.2). A thin film of water (n = 1.33) is trapped between the plates as illustrated in the diagram below. Glass (n = 1.5) Plastic (n = 1.2) Side view 2 Water film (n=1.33) Light of frequency f = 4.8 x 10¹4 Hz is incident from above at essentially normal incidence. The locations of the dark and bright fringes, as viewed from above, are indicated in the top-view diagram below. Top view A

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2. Water Film A plate of glass (n = 1.5) is placed over a flat plate of plastic (n = 1.2). A thin film of water (n = 1.33) is trapped between the plates as illustrated in the diagram below. Glass (n = 1.5) Plastic (n = 1.2) Side view 2 Water film (n = 1.33) Light of frequency f = 4.8 x 10¹4 Hz is incident from above at essentially normal incidence. The locations of the dark and bright fringes, as viewed from above, are indicated in the top-view diagram below. Top view A In this problem, ignore reflections from the top surface of the glass plate and the bottom surface of the plastic. a. Are the plates in contact at point A (where the plate appears dark) or at point B (where the plate appears bright)? Explain your reasoning. b. Determine the thickness of the gap between the plates at the end where the plates are not in contact. (Express your answer in mm.) Show all work. c. Suppose that the film of water between the plates were replaced with a film of air. i. Would a bright or dark fringe be seen at the point where the two plates are in contact? Explain your reasoning. ii. When the film of water between the plates is replaced by a film of air, does the distance between adjacent bright fringes increase, decrease, or stay the same? Explain your reasoning.
Transcribed Image Text:2. Water Film A plate of glass (n = 1.5) is placed over a flat plate of plastic (n = 1.2). A thin film of water (n = 1.33) is trapped between the plates as illustrated in the diagram below. Glass (n = 1.5) Plastic (n = 1.2) Side view 2 Water film (n = 1.33) Light of frequency f = 4.8 x 10¹4 Hz is incident from above at essentially normal incidence. The locations of the dark and bright fringes, as viewed from above, are indicated in the top-view diagram below. Top view A In this problem, ignore reflections from the top surface of the glass plate and the bottom surface of the plastic. a. Are the plates in contact at point A (where the plate appears dark) or at point B (where the plate appears bright)? Explain your reasoning. b. Determine the thickness of the gap between the plates at the end where the plates are not in contact. (Express your answer in mm.) Show all work. c. Suppose that the film of water between the plates were replaced with a film of air. i. Would a bright or dark fringe be seen at the point where the two plates are in contact? Explain your reasoning. ii. When the film of water between the plates is replaced by a film of air, does the distance between adjacent bright fringes increase, decrease, or stay the same? Explain your reasoning.
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