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A double slit apparatus is held 1.2 m from a screen. (a) When red light (A = 600 nm) is sent through the double slit, the interference pattern on the screen shows a distance of 12.5 cm between the first and tenth dark fringes. What is the separation of the slits? (b) What will be the difference in path length for the waves travelling from each slit to the tenth nodal line? (c) If green light is used instead, how will the distance between the dark fringes in the interference pattern change?

A double slit apparatus is held 1.2 m from a screen. (a) When red light (A = 600 nm) is sent through the double slit, the interference pattern on the screen shows a distance of 12.5 cm between the first and tenth dark fringes. What is the separation of the slits? (b) What will be the difference in path length for the waves travelling from each slit to the tenth nodal line? (c) If green light is used instead, how will the distance between the dark fringes in the interference pattern change?

College Physics
College Physics
11th Edition
ISBN:9781305952300
Author:Raymond A. Serway, Chris Vuille
Publisher:Raymond A. Serway, Chris Vuille
Chapter1: Units, Trigonometry. And Vectors
Section: Chapter Questions
Problem 1CQ: Estimate the order of magnitude of the length, in meters, of each of the following; (a) a mouse, (b)...
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Hi, these are some grade 12 physics homework questions(Unit: Wave Nature of Light) from the course SPH4UI. I was having a lot of trouble with these ones. If you could please try and make the answers right and the mathematical and problem-solving as detailed as you can, so I can look at it and it's for me to pick up stuff and learn from it. Thank you.

1. A double slit apparatus is held 1.2 m from a screen. (a) When red light (A = 600 nm) is sent through the double slit, the interference pattern on the screen shows a distance of 12.5 cm between the first and tenth dark fringes. What is the separation of the slits? (b) What will be the difference in path length for the waves travelling from each slit to the tenth nodal line? (c) If green light is used instead, how will the distance between the dark fringes in the interference pattern change? 2. Yellow light (A = 580 nm) is sent through a single slit with a width of 2.1 µm. What is the maximum possible number of bright fringes, including the central maximum, produced on the screen? (Hint: What is the largest angle that can be used?) 3. A diffraction grating gives a second-order maximum at as angle of 31° for violet light (A = 4.0 x 102 nm). If the diffraction grating is 1.0 cm in width, how many lines are on this diffraction grating? 4. Would you see the same reflected thin film interference pattern in a film of soap surrounded on both sides by air and a film of soap sitting on glass? Justify your answer with both words and labelled ray diagrams.
Transcribed Image Text:1. A double slit apparatus is held 1.2 m from a screen. (a) When red light (A = 600 nm) is sent through the double slit, the interference pattern on the screen shows a distance of 12.5 cm between the first and tenth dark fringes. What is the separation of the slits? (b) What will be the difference in path length for the waves travelling from each slit to the tenth nodal line? (c) If green light is used instead, how will the distance between the dark fringes in the interference pattern change? 2. Yellow light (A = 580 nm) is sent through a single slit with a width of 2.1 µm. What is the maximum possible number of bright fringes, including the central maximum, produced on the screen? (Hint: What is the largest angle that can be used?) 3. A diffraction grating gives a second-order maximum at as angle of 31° for violet light (A = 4.0 x 102 nm). If the diffraction grating is 1.0 cm in width, how many lines are on this diffraction grating? 4. Would you see the same reflected thin film interference pattern in a film of soap surrounded on both sides by air and a film of soap sitting on glass? Justify your answer with both words and labelled ray diagrams.
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