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Q.

In a two slit experiment with monochromatic light, fringes are obtained on a screen placed at some distance from the slits. If screen is moved by 5 × 10-2 m towards the slits, then change in fringe width is 3 × 10-5m. If the distance between slits is  10-3m then wavelength of the light used will be

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a

4000A0

b

6000A0

c

5000A0

d

8000A0

answer is B.

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Detailed Solution

β=λDd  D is the distance between slit and the screen and d is the distance between the slits given β1-β2= λdD1-D2 ;     λ=d(β1-β2)D1-D2 λ=10-3×3×10-55×10-2=6×10-7
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In a two slit experiment with monochromatic light, fringes are obtained on a screen placed at some distance from the slits. If screen is moved by 5 × 10-2 m towards the slits, then change in fringe width is 3 × 10-5m. If the distance between slits is  10-3m then wavelength of the light used will be