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Light with wavelength $\lambda = 700$ nm passes through two slits of a width $a = 1400$ nm. The centerpoints of these two slits are separated by a distance of $d = 3500$ nm. The light then travels a long distance and falls on a screen. It is not necessary (for once) to derive or justify the equation(s) you use below, but if you do you will get partial credit even if your numerical answers are wrong.

a) Write down (or derive) the algebraic formula for the intensity of the combined interference-diffraction pattern for this arrangement.

b) Write down (or derive) the formula from which the angles at which diffraction minima occur can be found, and apply it to find all these angles (put them in a table).

c) Write down (or derive) the formulas from which the angles at which interference maxima and minima occur, and apply them to find the first three of each (only) (put them in a table).

d) Draw a qualitatively correct picture of the expected diffraction/integration pattern $I(\theta)$.