In a Young\'s double-slit experiment, a set of parallel slits with a separation
ID: 1498968 • 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 588nm 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 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?
Explanation / Answer
here,
slit sepration , d = 1.02 * 10^-4 m
wavelength , lamda = 5.88 * 10^-7 m
screen distance , D = 3.5 m
a)
the difference in path lengths from the two slits to the location of a second order bright fringe on the screen , y = 1.5 * lamda * D/d
y = 2 * 5.88 * 10^-7 * 3.5 /(1.02 * 10^-4)
y = 4.04 * 10^4 um
b)
the difference in path lengths from the two slits to the location of a second order dark fringe on the screen , y = 1.5 * lamda * D/d
y = 1.5 * 5.88 * 10^-7 * 3.5 /(1.02 * 10^-4)
y = 3.03 * 10^4 um