A set of narrow vertical slits is located a distance D from a screen. The slits

Question

A set of narrow vertical slits is located a distance D from a screen. The slits are equally spaced and have the same width. The intensity pattern in the figure is observed when light from a laser passes through the slits, illuminating them uniformly. The screen is perpendicular to the direction of the light.

Q1:What is the spacing between the slits? Data: Distance to the screen = 3.07 m; Wavelength of light = 0.570 ?m; Distance between tick marks on the intensity figure = 1.60 cm.

Q2:If the slits' separation is increased by a factor of 3, what would be the distance between the principal peaks on the screen?

Explanation / Answer

d = lambda L / y = 570 * 10-9 * 3.07 / 1.60 * 10-2

d = 1.09 * 10-4 m

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y' = lambda L / d' = lambda L / 3 d = y /3 = 1.60 / 3

= 0.533 cm

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