Question

(5%) Problem 7: Young's double slit experiment is one of the classic tests for the wave nature of light. In an experiment using red light (a = 649 nm) the second dark fringe on either side of the central maximum is 0 = 3.2 degrees relative to the central bright fringe. *33% Part (a) Write an expression for the separation distance d between the slits. d=((2 m - 1)2 )/( 2 sin(0)) X Attempts Remain A 33% Part (b) Numerically, what is the distance of d in nanometers? >> A 33% Part (c) Numerically, at what angle can the first bright fringe be found relative to the m= 0 central fringe? Answer in degrees. Grade S 06 = 1 Deductio

Answer 1

o'qohos Humus UIMəs th (@ For Bright foringe, n= 1 ni=d, A ми в => sino=no L=1x649xlog 17439.5XV69 Q=sin" (0.0372) =12.130] Aug 0.0 372

(a) Expression bord d sino=n (For Posight bringe) dsino=(2n-1) (For Dark bringe) n=order of bringe here n=2, 0 = 3.2° 2 e d = [2 (2)_17 _3 2 649910 9) sin (3.2 = 1. - 2 sin (3.2°) »/4=17439.5 mm