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Two straight and parallel slits 0.4 mm a...

Two straight and parallel slits 0.4 mm apart , are illuminated by a source of monochromatic light. Interfer- ence patter of fringe width 0.5 mm is produced 40 cm away from the slits . Find the wavelength of the light used.

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In this case , 2d = 0.4 mm = 0.04 cm , y = 0.5 mm
= 0.05 cm , D = 40 cm
we know the fringe width ,
`y (lambdaD)/(2d)`
`:. lambda=(2d.y)/(D)=(0.04 xx0.05)/(40) =5 xx 10^(-5)` cm
`=5000xx10^(-8)` cm =5000 Å
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