   Chapter 30, Problem 32PE

Chapter
Section
Textbook Problem

Ruby lasers have chromium atoms doped in an aluminum oxide crystal. The energy level diagram for chromium in a ruby is shown in Figure 30.64. What wavelength is emitted by a ruby laser? Figure 30.64 Chromium atoms in an aluminum oxide crystal have these energy levels, one of which is metastable. This is the basis of a ruby laser. Visible light can pump the atom into an excited state above the metastable state to achieve a population inversion.

To determine

The wavelength emitted by ruby laser when Ruby lasers have chromium atoms doped in an aluminum oxide crystal.

Explanation

Given Data:

Given energy-level diagram for chromium in a ruby.

Formula Used:

Energy is given as

E=hcλ

Where, E= Energy

h= Planck's constant

c= Speed of light

λ= Wavelength

Energy released during transition between metastable state and ground state is given as

ΔE=EmEg

Where ΔE= Energy released during the transition between two states

Em= Energy of meta- stable state

Eg= Energy of ground state

Calculation:

From energy level diagram,

Em=1.79eV

Eg=0eV

Energy released during transition is calculated as

ΔE=(1.79eV)(0eV)

ΔE=1.79eV

Now, wavelength emitted by ruby laser is calculated using Planck's equation

We have h=6.626×1034J.s

E=1.79eV

c=3×108m/sec

Substituting the values in equation of energy, we have

E=hcλ

1

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