Problem 3: Young's double slit experiment is one of the classic tests for the wave nature of light. In an experiment using red light (4 = 647 nm) the second dark fringe on either side of the central maximum is 8 = 4.5 degrees relative to the central bright fringe. Part (a) Write an expression for the separation distance d between the slits. Expression : d= Select from the variables below to write your expression. Note that all variables may not be required. cos(a), cos(), cos(8), sin(w), sin(), sin(8), a, f,4,0,d,g,h, t,z Part (b) Numerically, what is the distance of d in nanometers? Numeric : A numeric value is expected and not an expression. d = Part (c) Numerically, at what angle can the first bright fringe be found relative to the m = 0 central fringe? Answer in degrees. Numeric : A numeric value is expected and not an expression. 0 =