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Question

The angular width of the central maximum in a single sit diffraction pattern is 60. The width of the slit is 1 μm. The slit is illuminated by monochromatic plane waves. If another slit of same width is made near it, Young's fringes can be observed on a screen placed at a distance 50 cm from the silts. If the observed fringe width is 1 cm, what is slit separation distance? (i.e. distance between the centres of each slit)

A
75μm
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B
100μm
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C
25μm
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D
50μm
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Solution

The correct option is C 25μm
sin30=λb
λ=b2=1×1062=5×107m

Fringe width, ω=λDd
d=λDω
=5×107×0.51×102

d=25 μm

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