Question

1. You shine light of wavelength 500nm through a double slit with a slit separation of 100pm. You then shine the same light on a single slit with width a. You notice that the second dark fringe for both experiments are at the same location. (a) Find the width a of the single slit. (b) Suppose you are shining the light on a screen 1.5m from the slits. For both experiments, find the locations of the first three dark fringes relative to the central bright fringe.

Answer 1

DELTA/Page No Date 1 In double - slit ereperiment positions of dark fringes is found at In = (2n-1) 22 n = 1, 2, 3 ... 2.d In of - Distance between slit and screen d - " " both slits. - wavelength a = 370 = Position of and dark single-slit differection experiment, positions dark fringes is found at In = nad n=112,31 --- Q- width of elit. n=2 42 = 2XD lies at some position then - for If both y ( 1004m) a=ud (a= 133.3 um for Interference double slit exprchiment ) 3.75810-3m y = 20 G2 23 00 Y = 500 y = 500 x 10 x 15 2x roox10-6 2 = 11.25x10 3 m, and Y3 = 18.75x153 For det er slit experiment orto I - 500x109x15 = 5.625x16-3 SWEET 133,3x10-6 Selfie X1003m and 93 = 16.88 x 10-5m 1-3m