Question

In a Young's double-slit experiment, a set of parallel slits with a separation of 0.144 mm is illuminated by light having a wavelength of 590 nm and the interference pattern observed on a screen 3.50 m from the slits. (a) What is the difference in path lengths from the two slits to the location of a third order bright fringe on the screen? um (b) What is the difference in path lengths from the two slits to the location of the third dark fringe on the screen, away from the center of the pattern? um

Answer 1

a) We know dsind = na For interference ( maxima rence I dayana AY = NAD n =3 Dy = 3*(590 x10-9m)* 3.5m 0.4mm Dy = 43020.83 m. dsino = (20-1) dey = {n-1)2 Oy = (n=1 A (for 1:3) Dy = 5 * (590x1019m) *3.5m) 2*0.144 mon ) Dy = 35 850.69 um