   Chapter 27, Problem 83PE

Chapter
Section
Textbook Problem

Unreasonable ResultsTo save money on making military aircraft invisible to radar, an inventor decides to coat them with a non-reflective material having an index of refraction of 1.20, which is between that of air and the surface of the plane. This, he reasons, should be much cheaper than designing Stealth bombers. (a) What thickness should the coating be to inhibit the reflection of 4.00-cm wavelength radar? (b) What is unreasonable about this result? (c) Which assumptions are unreasonable or inconsistent?

(a)

To determine

Thickness of the coating to inhibit the reflection

Explanation

Given info:

Refractive index of film coating, n=1.20

Wavelength of the radar, λ=4cm

Formula used:

Thickness of the film producing destructive interference is calculated by the formula

2t=λ4n

Here,

λ is the wavelength of the reflected light

n is the refractive index

t is the thickness of

(b)

To determine

(c)

To determine

Assumptions that are unreasonable.

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