In a Young\'s double-slit experiment, two parallel slits with a slit separation

Question

In a Young's double-slit experiment, two parallel slits with a slit separation of 0.175 mm are illuminated by light of wavelength 569 nm, and the interference pattern is observed on a screen located 3.55 m from the slits. (a) What is the difference in path lengths from each of the slits to the location of the center of a fifth order bright fringe on the screen? mu m (b) What is the difference in path lengths from the two slits to the location of the center of the fifth dark fringe away from the center of the pattern? mu m

Explanation / Answer

A.

for fifth order bright fringe:

m = 5

path difference is given by:

d = m*lambda = 5*569*10^-9 = 2.845*10^-6 m

d = 2.845 um

B.

for Dark fringes path difference is given by:

d = (m - 1/2)*lambda

d = (5 - 0.5)*569*10^-9 = 2.56*10^-6 m

d = 2.56 um

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