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Q.

Two slits separated by a distance of 1 mm, are illuminated with red light of wavelength 6.5 × 10-7 m. The interference fringes are observed on a screen place 1 m from the slits. The distance between the third dark fringe and the fifth bright fringe is equal to

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a

0.65 mm

b

1.63 mm

c

3.25 mm

d

4.88 mm

answer is B.

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Detailed Solution

distance between 3 rd dark and 5 th dark is 2 fringe width and 5th dark to 5 th bright  half fringe width so total distance i s 2.5 fringe width  2.5 λDd here D= 1m and d= 10-3m
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