Please answer in detail with all steps and calculations.

Multi-slit interference Consider a screen with four long parallel slits (labelled #14 from top to bottom). Each slit has a width of D and the distance between adjacent slits is d. They are illuminated by collimated monochromatic light with wavelength A at normal incidence. The multislit interference pattern is projected on a screen far away from the slits. The distribution of light intensity on the screen as a function of sinH is recorded and plotted below, where 0 is the angle relative to the normal. The max intensity recorded on the screen in this four-slit conguration is I0. intensity 0.008 0.006 0.004 -0.002 0.000 0.002 0.004 0.006 0.008 sine (a) Write down the intensity for the 4slit interference pattern on the screen, expressed as a function of d, D, A, 9, and the maximum intensity I0. (b) Based on the graph, estimate the values of d and D in units of A. Clear show your calculations. (c) If the outer two slits are blocked (leaving slits #2 and #3 unchanged), sketch the light intensity on the screen as a function of sin 0. Label to scale both the horizontal axis and vertical axis. (d) If instead the middle two slits are blocked (leaving slits #1 and #4 unchanged), sketch the light intensity on the screen as a function of sin 0. Label to scale both the horizontal axis and vertical axis