A laser is shone through a double slit and a particular interference pattern is observed on a screen some distance away. If the separation between the openings is increased, the distance between the fringes will

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The distance between the fringes (y) will decrease.

What is meant by double slit?

  • In the double-slit experiment, a beam of light is aimed at a barrier with two vertical slits.
  • After the light passes through the slits, the resulting pattern is recorded on a photographic plate.
  • When one slit is covered, a single line of light is displayed, aligned with whichever slit is open.

To solve this problem it is necessary to apply the concepts related to double split conditions. The equation describing this effect is given by

dsinθ   = mλ

λ = dsinθ /m

λ = wavelength

d= distance between slits

m = Any integer, representing the repetitions of the spectrum

If  θ is small, then sinθ = y/L  and the previous equation can be given as

λ = dy /mL

L = Length from screen with slits

y = distance between fringes

From this last equation we can realize that if the separation between the openings (d) is increased, the distance between the fringes (y) will decrease.

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