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Consider the original double-slit pattern from problem 1, shown below. Suppose that a third slit of the same width were added halfway between the original two slits as shown in the figure below the pattern. (Note that this results in the distance between adjacent slits becoming half of the original value.) Pattern on screen with two slits X Y Z Magnified view of slits Added slit d/2d/2- a. Would point Z be a principal maximum, a minimum, or neither? Explain your reasoning. b. Would point Y be a principal maximum, a minimum, or neither? Explain your reasoning. c. Would point X be a principal maximum, a minimum, or neither? Explain your reasoning.

Consider the original double-slit pattern from problem 1, shown below. Suppose that a third slit of the same width were added halfway between the original two slits as shown in the figure below the pattern. (Note that this results in the distance between adjacent slits becoming half of the original value.) Pattern on screen with two slits X Y Z Magnified view of slits Added slit d/2d/2- a. Would point Z be a principal maximum, a minimum, or neither? Explain your reasoning. b. Would point Y be a principal maximum, a minimum, or neither? Explain your reasoning. c. Would point X be a principal maximum, a minimum, or neither? Explain your reasoning.

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2. Transforming a Two-Slit Arrangement into a Three-Slit One Consider the original double-slit pattern from problem 1, shown below. Suppose that a third slit of the same width were added halfway between the original two slits as shown in the figure below the pattern. (Note that this results in the distance between adjacent slits becoming half of the original value.) Pattern on screen with two slits ΧΥ Z C Magnified view of slits Added slit d/2d/2→ a. Would point Z be a principal maximum, a minimum, or neither? Explain your reasoning. b. Would point Y be a principal maximum, a minimum, or neither? Explain your reasoning. c. Would point X be a principal maximum, a minimum, or neither? Explain your reasoning.
Transcribed Image Text:2. Transforming a Two-Slit Arrangement into a Three-Slit One Consider the original double-slit pattern from problem 1, shown below. Suppose that a third slit of the same width were added halfway between the original two slits as shown in the figure below the pattern. (Note that this results in the distance between adjacent slits becoming half of the original value.) Pattern on screen with two slits ΧΥ Z C Magnified view of slits Added slit d/2d/2→ a. Would point Z be a principal maximum, a minimum, or neither? Explain your reasoning. b. Would point Y be a principal maximum, a minimum, or neither? Explain your reasoning. c. Would point X be a principal maximum, a minimum, or neither? Explain your reasoning.
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