In a Young\'s double-slit experiment, a set of parallel slits with a separation
ID: 2065594 • 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 566 nm and the interference pattern observed on a screen 4.50 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?
________ µm
(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?
________ µm
Explanation / Answer
a)
path difference = n n=0,1,2,3,4,....
for third order bright fringe:
>>>>> path difference = 2 = 2*566 nm = 1132 nm = 1.132 m
b)
path difference = (n+0.5) n=0,1,2,3,4,....
for third order dark fringe:
>>>>> path difference = 2.5* = 2.5*566 nm = 1415 nm = 1.415 m