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

Question

In a Young's double-slit experiment, a set of parallel slits with aseparation of 0.050 mm is illuminatedby light having a wavelength of 570 nmand the interference pattern observed on a screen 3.50 m from the slits. (a) What is the difference in path lengths fromthe 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 tothe location of the second dark fringeon the screen, away from the center of the pattern?
µm (a) What is the difference in path lengths fromthe 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 tothe location of the second dark fringeon the screen, away from the center of the pattern?
µm

Explanation / Answer

separation of the slits d = 0.05 mm = 5 * 10 ^ -5m wavelength = 570 nm = 570 * 10 ^ -9 m distance of the scrren from the slits D = 3.5 m (a). the difference in path lengths from the two slits to thelocation of a second order brightfringe on the screen is = 2                                                           = 1.14 m (b). the difference in path lengths from the two slits to thelocation of the second dark fringe onthe screen, away from the center of the pattern is = 5/ 2                                   = 1.425 m

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