   Chapter 30, Problem 68PE

Chapter
Section
Textbook Problem

Unreasonable Results(a) What voltage must be applied to an X-ray tube to obtain 0.0100-fm-wavelength X-rays for use in exploring the details of nuclei? (b) What is unreasonable about this result? (c) Which assumptions are unreasonable or inconsistent?

To determine

(a)

What voltage must be applied to an X-ray tube to obtain0.0100fm wavelength X-rays for use in exploring the details of nuclei?

Explanation

Given Data:

Given that0.0100fm wavelength X-rays are used in exploring the details of nuclei

Formula Used:

Energy and applied voltage are related as

E=qV

WhereE= Energy

q= Charge

V= Applied voltage

Also, Energy is given as

E=hcλ

WhereE= Energy

h= Planck's Constant

c= Speed of light

λ= Wavelength

Calculation:

We haveE=qV

andE=hcλ

Equating the above two equations, we have

qV=hcλ

V=hcqλ

We haveh=6.626×1034J.s

c=3×108m/s

λ=0

To determine

(b)

To determine

(c)

Which assumptions are unreasonable or inconsistent?

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