In a Young\'s double-slit experiment, a set of parallel slits with a separation
ID: 1409715 • Letter: I
Question
In a Young's double-slit experiment, a set of parallel slits with a separation of 0.050 mm is illuminated by light having a wavelength of 575 nm and the interference pattern observed on a screen 4.00 m from the slits.
(a) What is the difference in path lengths from the two slits to the location of a second order bright fringe on the screen?
µm
(b) What is the difference in path lengths from the two slits to the location of the second dark fringe on the screen, away from the center of the pattern?
µm
Explanation / Answer
Given that
A set of parallel slits with a separation of (d) =0.050 mm =0.050*10-3m
Illuminated by light having a wavelength of (Lamda) = 575 nm=575*10-9m
The distance between the slits and the screen(D)= 4.00m
a)
The path difference to the 2nd bright fringe is 2*lamda given that 575*10-9m =2*575*10-9m=1.15*10-6m
b)
Tthe difference in path lengths from the two slits to the location of the second dark fringe on the screen, away from the center of the pattern is given by = 1(1/2)lamda it lies in between 1 and 2 bright fringes)
=1(1/2)*575*10-9m =0.8625um