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

ID: 1490761 • 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 599 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 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

(A) Path Difference = m*wavelength <---- Bright Fringe
Path Difference = 2*599 nm = 1.198 microns

(B) Path Difference = ((2n-1)* (1/2))*wavelength <---- Dark Fringe
Path Difference = ((2*2)-1)*0.5*599 nm = 0.8985 microns