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Chapter 17: Q. 25 (page 458)

What is the thinnest film of MgF2n=1.39on glass that

produces a strong reflection for orange light with a wavelength of 600 nm?

Short Answer

Expert verified

The thinnest film should be of 216nmthick that produces reflection of orange light.

Step by step solution

01

Given information

The reflected orange light has a wavelength of 位=600nm=6脳10-7m.

The refractive index of the thin film is,n=1.39

02

Thickness of the film determination

The thickness of the thinnest film of MgF2can be obtained by the equation of constructive interference as, localid="1650048664982" d=位m2n, where m=1,2,3......

For thinnest film, consider m=1

Thus, thickness of the film should be,

localid="1650050646256" d=位2nd=6脳10-7m2脳1.39d=2.16脳10-7md=216nm

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