(a) Show that the values of a at which intensity maxima for single-slit diffraction occur can be found exactly by differentiating the following equation (sin o with respect to a and equating the result to zero, obtaining the condition tan(a)= a. (remember, a = 10 = Im πα sin , although you don't need that for this problem) (b) Find the values of a satisfying this relation by plotting the curve y=tan(a) and the straight line y=a and finding their intersections.
(a) Show that the values of a at which intensity maxima for single-slit diffraction occur can be found exactly by differentiating the following equation (sin o with respect to a and equating the result to zero, obtaining the condition tan(a)= a. (remember, a = 10 = Im πα sin , although you don't need that for this problem) (b) Find the values of a satisfying this relation by plotting the curve y=tan(a) and the straight line y=a and finding their intersections.
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Plz answer A and B
Transcribed Image Text:(a) Show that the values of a at which intensity maxima for single-slit diffraction occur can
be found exactly by differentiating the following equation
Im
α
with respect to a and equating the result to zero, obtaining the condition tan(a)= a.
(remember, a =
2
sin a
=
πα
sin , although you don't need that for this problem)
(b) Find the values of a satisfying this relation by plotting the curve y=tan(a) and the
straight line y=a and finding their intersections.
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