Q.

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

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a

6000 Å

b

5000 Å

c

3000 Å

d

4500 Å

answer is A.

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Detailed Solution

β=λDd⇒β∝D⇒β1β2=D1D2⇒β1−β2β2=D1−D2D2⇒ΔβΔD=β2D2=λ2d2=λ2=3×10−55×10−2×10−3=6×10−7m=6000Å
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In a two slit experiment with monochromatic light fringes are obtained on a screen placed at some distance from the sits. If the screen is moved by 5×10−2 m towards the slits, the change in fringe width is 3×10−5 m. If separation between the slits is 10−3 m, the wavelength of light used is