What is the diameter of the Airy disk on the screen in cm? Monochromatic light w

Question

What is the diameter of the Airy disk on the screen in cm?

Monochromatic light with wavelength 570nmpasses through a circular aperture with diameter 7.00m . The resulting diffraction pattern is observed on a screen that is 5.00m from the aperture. id="part1" class="section part" sectionid="1" ordinal="a"> class="sections" id="yui_3_3_0_24_137854966549053"> id="problemproblem_0" class="problem" problemid="problem_0"> class="problems" id="yui_3_3_0_24_137854966549054">id="focushook" tabindex="-1" role="presentation"> id="problempane" class="pane" type="problem">

Explanation / Answer

sin theta = 1.22 lambda/d

theta = arcsin(1.22*570.0E-9/7.0E-6)=5.701

D = 2 L tan theta = 2*5*tan(5.701 degrees)=0.998 m

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