Suppose i create a two-slit interference pattern using light with some wavelength lambda and slits with some separation d. if i were to increase lambda, what would happen to the interference pattern on the wall? the pattern would spread out nothing would happen to the pattern the pattern would compress

The pattern would spread out.

Explanation:

The fringe  width is given by the relation

fringe width = λ L / D where λ is wavelength of light used, L is distance of wall from the source of light and D is slit separation.

If we increase λ , fringe width will increase and therefore pattern will spread out .

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