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:

x=0, λ, 2λ, ... mλ

Destructive interference:

x = λ2, 3λ2, ... (m + λ2)

Assuming the ray is incident nearly perpendicular:

x = 2t

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.

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