In a Young\'s double-slit experiment, a set of parallel slits with a separation
ID: 1306517 • Letter: I
Question
In a Young's double-slit experiment, a set of parallel slits with a separation of 0.102 mm is illuminated by light having a wavelength of 568 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 fourth order bright fringe on the screen?
=_____ um
(b) What is the difference in path lengths from the two slits to the location of the fourth dark fringe on the screen, away from the center of the pattern?
=_____ um
Explanation / Answer
A) Path Difference = m*wavelength <---- Bright Fringe
Path Difference = 4*568 nm = 2.272 microns
(B) Path Difference = (m + (1/2))*wavelength <---- Dark Fringe
Path Difference = 4.5*568 nm = 2.556 microns