   Chapter 30, Problem 57PE

Chapter
Section
Textbook Problem

Integrated ConceptsWhat double-slit separation would produce a first-order maximum at 3.00° for 25.0-keV x rays? The small answer indicates that the wave character of x rays is best determined by having them interact with very small objects such as atoms and molecules.

To determine

What double slit separation would produce a first order maximum at d= for 25keV x-rays.

Explanation

Given Data:

Given that separation would produce a first order maximum at 3 for 25keV x-rays.

Formula Used:

The wavelength and energy is related as follows:

λ=hcE

Where λ= Wavelength

h= Planck's constant

c= speed of light

E= energy

The relation between the wavelength and the distance between the slits is given as

dsinθ=mλ

Where d= Distance between the slits

λ= Wavelength

θ= Angle

m= Order

Calculation:

We have E=25keV and hc=1.24×106eV.m

Wavelength is calculated as

λ=1.24×106eV.m25keV

λ=1.24×106eV

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