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Q.

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

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a

5000 Å

b

50007 Å

c

2500 Å

d

25007 Å

answer is A.

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Detailed Solution

Path difference between ninth maxima and second minima is 7.5×10-3=9λDd-(2×2-1)λD2d⇒λ=5000 A0
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In Young's double-slit experiment, the slits are 0.5 mm apart and the interference is observed on a screen at a distance of 100 cm from the slits. It is found that the ninth bright fringe is at a distance of 7.5 mm from the second dark fringe from the center of the fringe pattern. The wavelength of the light used is