   Chapter 30, Problem 70PE

Chapter
Section
Textbook Problem

Construct Your Own ProblemThe solar corona is so hot that most atoms in it are ionized. Consider a hydrogen-like atom in the corona that has only a single electron. Construct a problem in which you calculate selected spectral energies and wavelengths of the Lyman, Balmer, or other series of this atom that could be used to identify its presence in a very hot gas. You will need to choose the atomic number of the atom, identify the element, and choose which spectral lines to consider.

To determine

The solar corona is so hot that most atoms in it are ionized. Consider a hydrogen like atom in the corona that has only a single electron. Construct a problem in which you calculate selected spectral energies and wavelengths of the Lyman, Balmer or other series of this atom that could be used to identify its presence in a very hot gas. You will need to choose atomic number of the atom, identify the element, and choose which spectral lines to consider.

Explanation

Given Data:

Given that the solar corona is so hot that most atoms in it are ionized. Consider a hydrogen like atom in the corona that has only a single electron

Formula Used:

Total energy of the electron is the sum of the potential energy and kinetic energy.

Calculation:

Let us assume a nucleus with charge+Ze

Also, assume that one electron orbits around the nucleus.

We know that the total energy of electron is the sum of the potential energy and kinetic energy.

Thus, we have

ETotal=p22meZe24πεor

Wherep22m

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