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1)calculate the width of the slits 2)If the slits\' separation is increased by a

ID: 1795458 • Letter: 1

Question

1)calculate the width of the slits
2)If the slits' separation is increased by a factor of 3, what would be the distance the principal peaks on the screen?

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. What is the spacing between the slits? Data: Distance to the screen = 2.77 m; Wavelength of light = 0.520 m; Distance between tick marks on the intensity figure = 1.40 cm. 1.03x 102 um You are correct. eipt no, is 155-12 Previous Tries 840 PM

Explanation / Answer

a)
let d is the width of each slit.

distance between ma maxima,

delta_x = lamda*D/d

==> d = lamda*D/delta_x

= 0.520*10^-6*2.77/(1.4*10^-2)

= 1.03*10^-4 m


b) distance between pricipal peaks will be decreases by 3.

delta_x = 1.4/3

= 0.467 cm