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Chapter 17: Q. 26 (page 458)

A very thin oil film n=1.25floats on watern=1.33.

What is the thinnest film that produces a strong reflection for

green light with a wavelength of 500 nm?

Short Answer

Expert verified

The oil film has a thickness of200nm.

Step by step solution

01

Given data

The thin oil film has a refractive index of n=1.25

The reflected green light has a wavelength ofλ=500nm=5×10-7m.

02

Thickness of the film determination

The thickness of the thinnest film of oil can be obtained by the equation of constructive interference as, , where

For thinnest film, consider

Thus, thickness of the film should be,

d=λ2nd=5×10-7m2×1.25d=2×10-7md=200nm

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