   Chapter 30, Problem 25PE

Chapter
Section
Textbook Problem

(a) What is the shortest-wavelength x-ray radiation that can be generated in an x-ray tube with an applied voltage of 50.0 kV? (b) Calculate the photon energy in eV. (c) Explain the relationship of the photon energy to the applied voltage.

To determine

(a)

Find the shortest wavelength x-ray radiation that can be generated in an x-ray with an applied voltage of 50.0kV

Explanation

Given:

Applied voltage = V = 50.0 kV

Formula used:

Using:

hνmax=hc/λminλmin=hc/eV

Here e = charge on electron, V = applied voltage

Calculation:

λmin=hc/eV

Substituting the value h=6.626×1034J.s , c=3×108m/s , q=1.602×1019C and V=50.0×103V

λmin=(6

To determine

(b)

Find the photon energy in eV.

To determine

(c)

Explain the relation between the photon energy and applied voltage.

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