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uniform film of TiO₂, 1036 nm thick and having dex of refraction 2.62, is spread uniformly over the urface of crown glass of refractive index 1.52. Light of avelength 595 nm falls at normal incidence onto the m from air. You want to increase the thickness of this m so that the reflected light cancels. What is the minimum thickness of TiO₂ that you must add so the reflected light cancels as desir AT= Submit Part B 1ΠΙ ΑΣΦ Request Answer PASSIC ? nm After you make the adjustment in part (a), what is the path difference between the light reflected that cancels it after traveling through the film? Express your answer in nanometers.

uniform film of TiO₂, 1036 nm thick and having dex of refraction 2.62, is spread uniformly over the urface of crown glass of refractive index 1.52. Light of avelength 595 nm falls at normal incidence onto the m from air. You want to increase the thickness of this m so that the reflected light cancels. What is the minimum thickness of TiO₂ that you must add so the reflected light cancels as desir AT= Submit Part B 1ΠΙ ΑΣΦ Request Answer PASSIC ? nm After you make the adjustment in part (a), what is the path difference between the light reflected that cancels it after traveling through the film? Express your answer in nanometers.

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### Thin Film Interference Problem A uniform film of TiO₂, 1036 nm thick and having an index of refraction 2.62, is spread uniformly over the surface of crown glass with a refractive index of 1.52. Light of wavelength 595 nm falls at normal incidence onto the film from air. The goal is to increase the thickness of this film so that the reflected light cancels. #### Part A **Question:** What is the minimum thickness of TiO₂ that you must add so the reflected light cancels as desired? **Input Box for Answer:** ΔT = ______ nm **Options:** - Submit - Request Answer --- #### Part B **Question:** After you make the adjustment in Part A, what is the path difference between the light reflected off the top of the film and the light that cancels it after traveling through the film? Express your answer in nanometers. **Input Box for Answer:** ΔP = ______ nm **Options:** - Submit - Request Answer --- This exercise requires understanding of the principles of thin film interference, where light waves reflecting off the top and bottom surfaces of a film can interfere destructively, leading to the cancellation of specific wavelengths.
Transcribed Image Text:### Thin Film Interference Problem A uniform film of TiO₂, 1036 nm thick and having an index of refraction 2.62, is spread uniformly over the surface of crown glass with a refractive index of 1.52. Light of wavelength 595 nm falls at normal incidence onto the film from air. The goal is to increase the thickness of this film so that the reflected light cancels. #### Part A **Question:** What is the minimum thickness of TiO₂ that you must add so the reflected light cancels as desired? **Input Box for Answer:** ΔT = ______ nm **Options:** - Submit - Request Answer --- #### Part B **Question:** After you make the adjustment in Part A, what is the path difference between the light reflected off the top of the film and the light that cancels it after traveling through the film? Express your answer in nanometers. **Input Box for Answer:** ΔP = ______ nm **Options:** - Submit - Request Answer --- This exercise requires understanding of the principles of thin film interference, where light waves reflecting off the top and bottom surfaces of a film can interfere destructively, leading to the cancellation of specific wavelengths.
**Part C** Express your answer in wavelengths of the light in the TiO₂ film. ΔP = [ ] [Submit] [Request Answer] --- This text prompt appears in the context of a physics or materials science problem, likely involving thin film interference or refraction. The question asks you to provide an answer in terms of wavelengths specific to the titanium dioxide (TiO₂) film. The interface provides options to input mathematical or symbolic expressions. No graphs or diagrams are included in the image.
Transcribed Image Text:**Part C** Express your answer in wavelengths of the light in the TiO₂ film. ΔP = [ ] [Submit] [Request Answer] --- This text prompt appears in the context of a physics or materials science problem, likely involving thin film interference or refraction. The question asks you to provide an answer in terms of wavelengths specific to the titanium dioxide (TiO₂) film. The interface provides options to input mathematical or symbolic expressions. No graphs or diagrams are included in the image.
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