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 = 2.53 meters;
Wavelength of light = 520 nanometers;
Distance between tick marks on the intensity figure = 1.80 centimeters

Explanation / Answer

the distance between two tick marks gives us the width of dark fringe.now

the fring width of dark fringe is given by,

fringe width = lamda D/d

where D is the distance from screen

d= slit width

so,

fringe width =0.018 m=(520 x10-9 * 2.53 )/d

=> d= 7.3088 x10-5 m

= 73.8 micrometers

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