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Question

In Young's double-slit experiment, the slits are 0.5mm apart and the interference is observed on a screen at a distance of 100cm from the slits. It is found that the ninth bright fringe is at a distance of 7.5mm from the second dark fringe from the center of the fringe pattern. The wavelength of the light used is

A
5000˚A
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B
50007˚A
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C
2500˚A
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D
25007˚A
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Solution

The correct option is A 5000˚A
Path difference between ninth maxima and second minima, 7.5×103=(9)λDd(2×21)λD2d=15λD2d
λ=7.5×103×2d15D=7.5×103×2×0.5×10315×100×102=0.5×106m=5000Ao

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