Intensity in Single Slit Diffraction

Continue to explore the phenomenon of single slit interference. See how there's actually constructive (rather than just destructive) interference at some points on the screen. single slit interference, a complex phenomenon in light physics. Learn about the mathematical reasoning behind destructive points and why it doesn't apply to constructive ...

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$(a) Show that the values of αat which intensity maxima for single-slit diffraction occur can be found exactly by differentiating Eq. 36-5 with respect to αand equating the result to zero, obtaining the condition tan α=α. To find values of αsatisfying this relation, plot the curve y=tanαand the straight line y=αand then find their intersections, or use a calculator to find an appropriate value of αby trial and error. Next, from α=(m (1)/(2)) π, determine the values of m associated with the maxima$