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In a two-slit interference pattern on a distant screen, are the bright fringes midway between the dark fringes? Is this ever a good approximation?

Short Answer

Expert verified

For the bright fringe’s midway between the dark fringes, if the angle of diffraction θis sufficiently small then the approximation is good.

Step by step solution

01

Define the principle of superposition

The principle of superposition states:

When two or more waves overlap, the resultant displacement at any point and at any instant is found by adding the instantaneous displacements that would be produced at the point by the individual waves if each were present alone.

02

Determine whether the approximation is good or not.

To have bright fringes midway between the dark fringes:

For bright fringes the relation isdsinθm=

And for dark fringes relation isdsinθm=(m+12)λ

Thus, for good approximation θneeds to be sufficiently small.

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