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. What is the spacing between the slits? Data: Distance to the screen = 2.17 m; Wavelength of light = 0.570 ?m; Distance between tick marks on the intensity figure = 1.40 cm.

Calculate the width of the slits.

If the slits' separation is increased by a factor of 2, what would be the distance between the principal peaks on the screen?

Explanation / Answer

here use Y = mLR/d

where L = wavelgnth,

m = order = 1,2,3,4, ......... for brigth bands

m = 1.5, 2.5, 3.5, 4.5, ......for dark bands

R is the distance from slit to screen,

Y = disatnce from central spot to nth order fringe

so

d = mLR/Y

slid width d = 1 * 570*10^-9 * 2.17/(1.4 *10^-2)

d = 8.83 *10^-5 m

----------------------------------

if d = 2 times

y = 1/2 times

so Y = 2.8 cm

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