# Problem: If a thin film has a thickness that is(a) 1/4 of a wavelength, constructive interference will always occur.(b) 1/4 of a wavelength, destructive interference will always occur.(c) 1/2 of a wavelength, constructive interference will always occur.(d) 1/2 of a wavelength, destructive interference will always occur.(e) None of the above is always true.

###### FREE Expert Solution

Constructive and destructive interference in thin films is predicted using the path difference, Δx.

Constructive interference:

Destructive interference:

Assuming the ray is incident nearly perpendicular:

Where t is the thickness.

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###### Problem Details

If a thin film has a thickness that is

(a) 1/4 of a wavelength, constructive interference will always occur.

(b) 1/4 of a wavelength, destructive interference will always occur.

(c) 1/2 of a wavelength, constructive interference will always occur.

(d) 1/2 of a wavelength, destructive interference will always occur.

(e) None of the above is always true.