Chapter 30, Problem 28PE

### College Physics

1st Edition
Paul Peter Urone + 1 other
ISBN: 9781938168000

Chapter
Section

### College Physics

1st Edition
Paul Peter Urone + 1 other
ISBN: 9781938168000
Textbook Problem

# The maximum characteristic x-ray photon energy comes from the capture of a free electron into a K shell vacancy. What is this photon energy in keV for tungsten, assuming the free electron has no initial kinetic energy?

To determine

The photon energy for tungsten.

Explanation

Given info:

The K shell transition is taking place.

Formula used:

Change in energy when electron jumps from one energy level to another energy level is calculated as

â€ƒâ€ƒÎ”E=Eiâˆ’Ef

Where Î”E= Change in energy

â€ƒâ€ƒEi= Initial Energy

â€ƒâ€ƒEf= Final Energy

Also, equation to find the energy of electron for hydrogen like atom is given as

â€ƒâ€ƒE=Z2n2Eo

Calculation:

Here, electron is transitioned from infinity to the ground state.

Thus, ni=âˆž and nf=1

Also, the atomic number of tungsten is Z=73.

Thus, change in energy is calculated as

â€ƒâ€ƒÎ”E=Z2ni2Eoâˆ’Z2nf

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