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Question

Two slits spaced 0.25 mm apart are placed 0.75 m from a screen and illuminated by coherent light with a wavelength of 650 nm. The intensity at the center of the central maximum (θ=0o) is I0. The distance on the screen from the center of the central maximum to the point where the intensity has fallen to I0/2 is nearly

A
0.1 mm
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B
0.25 mm
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C
0.4 mm
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D
0.5 mm
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Solution

The correct option is D 0.5 mm
Let x be the minimum distance from the central maximum then,
Io2=Iocos2(πxβ)
πxβ=π4x=λD4d=6.5×107×0.754×0.25×103=4.875×104m0.5mm

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