Modern Physics for Scientists and Engineers
Modern Physics for Scientists and Engineers
4th Edition
ISBN: 9781133103721
Author: Stephen T. Thornton, Andrew Rex
Publisher: Cengage Learning
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Chapter 4, Problem 25P

(a)

To determine

The binding energy of the electron in the ground state of deuterium.

(b)

To determine

The binding energy of the electron in the ground state of helium ion (He+).

(c)

To determine

The binding energy of the electron in the ground state of beryllium ion (Be+++).

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What is the binding energy of the electron in the ground state of (a) deuterium, (b) He+, and (c) Be+++?
In positron-emission tomography (PET) used in medical research and diagnosis, compounds containing unstable nuclei that emit positrons are introduced into the brain, destined for a site of interest in the brain. When a positron is emitted, it goes only a short distance before coming nearly to rest. It forms a bound state with an electron, called "positronium", which is rather similar to a hydrogen atom. The binding energy of positronium is very small compared to the rest energy of an electron. After a short time the positron and electron annihilate. In the annihilation, the positron and the electron disappear, and all of their rest energy goes into two photons (particles of light) which have zero mass; all their energy is kinetic energy. These high energy photons, called "gamma rays", are emitted at nearly 180° to each other. What energy of gamma ray (in MeV, million electron volts) should each of the detectors be made sensitive to? (The mass of an electron or positron is 9 x 10-31 kg.…
What is the binding energy for an electron in the ground state in the following hydrogen-like atoms? a) For: He++ (Z=2) E1 = ______ eV b) For: Li2+2+ (Z=3) E1= ________ eV
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