A single-slit diffraction pattern is formed on a distant screen. If the distance

Question

A single-slit diffraction pattern is formed on a distant screen. If the distance from the slit to the screen is doubled, by what factor will the width of the central bright fringe on the screen change? Assume the angles involved remain small.

           The width of the central bright fringe will be eight times its original size.                     The width of the central bright fringe will be reduced to one-quarter of its original size.                     The width of the central bright fringe will be four times its original size.                     The width of the central bright fringe will remain the same.                     The width of the central bright fringe will be twice its original size.                     The width of the central bright fringe will be reduced to one-half of its original size.

Explanation / Answer

Y = mlR/d if R is doubles, Y also doublesi.e The width of the central bright fringe will be twice its original size.

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