Describe how the heights, widths, and locations of the peaks in the following three situations change...

Describe how the heights, widths, and locations of the peaks in the following three situations change when the optical setup is changed. (the wavelength of incident light does NOT change) Each part of the question should have 3 answers, except for question C which should have 4 answers.

A. You have a diffraction pattern caused by a single slit of width a, and you double the slit width. (4 points)

a. Central peak Intensity change: b. Central peak width change: c. Change in Angle between central peak and the next closest peak in intensity:

B. You have a 10-slit interference pattern caused by 12 slits that are extremely narrow but have a slit separation d, and you double the slit spacing but keep the same number of slits. (Ignore the smaller peaks, and consider only the principal peaks) (4 points)

a. Peak Intensity change: b. Peak width change: c. Change in Angle between two different principal peaks:

C. You have a 10-slit interference pattern caused by 12 slits that are at a separation d but are of a width a such that a=d/4. You double the slit width AND you double the slit spacing such that a is still equal to d/4. (6 points)

a. Draw a rough sketch of the intensity versus the sin of the angle with respect to the normal to the plane of slits for this configuration, labelling any missing fringes appropriately as a function of d and wavelength of incident light l.

b. Central Peak Intensity change: c. Central Peak width change: d. Change in Angle between two different (interference) peaks

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genius_generous answered 2 years ago

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