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. 1 eV = 1.6 × 10-19 joules.

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. 1 eV = 1.6 × 10-19 joules.

College Physics

11th Edition

ISBN:9781305952300

Author:Raymond A. Serway, Chris Vuille

Publisher:Raymond A. Serway, Chris Vuille

Chapter1: Units, Trigonometry. And Vectors

Section: Chapter Questions

Problem 1CQ: Estimate the order of magnitude of the length, in meters, of each of the following; (a) a mouse, (b)...

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Concept explainers

Rutherford's scattering experiment

Rutherford’s scattering experiment is also known as the gold foil experiment. This experiment disproved the plum pudding model of J.J. Thomson. In a gold foil experiment, high-energy alpha particles are made to strike a thin gold foil. The scattered alpha particles are detected using a detector. This experiment showed that the positive charge of the atom is at the center. Most of the atom’s mass is also confined to a small volume at the center. This region is known as the nucleus of the atom.

Question

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. 1 eV = 1.6 × 10-19 joules.
i
MeV
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