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### Fundamentals Of Physics

Book edition 10th Edition
Author(s) David Halliday
Pages 1328 pages
ISBN 9781118230718

# The magic nucleon numbers for nuclei are given in Module 42-8 as 2, 8, 20, 28, 50, 82, and 126. Are nuclides magic (that is, especially stable) when (a) only the mass number A, (b) only the atomic number Z, (c) only the neutron number N, or (d) either Z or N (or both) is equal to one of these numbers? Pick all correct phrases.

The correct phrase is (d).

See the step by step solution

## Step 1: The given data

The magic nucleon numbers are: 2, 8, 20, 28, 50, 82, and 126.

## Step 2: Understanding the concept of magic numbers

In nuclear physics, magic numbers are several nucleons such that the nucleons of the nuclide are arranged into complete shells within the atomic nucleus. Thus, their nuclei are more stable than in comparison to other nuclides. They are 2, 8, 20, 28, 50, 82, 126, and so on

## Step 3: Calculation on the factors that give magic numbers

According to the concept, the nucleons of the nuclide are arranged into complete shells. Also, any nuclide whose proton number Z or neutron number N has one of these values (or both) turns out to have a special stability that may be made apparent in a variety of ways are called magic (or double magic) nuclides.

Thus, the concept defines that only atomic number, only neutron number or both should be a match to one of the magic numbers, 2, 8, 20, 28, 50, 82, and 126 for them to be magic nuclides. Mass number only being a magic number does not satisfy the filling condition of the nucleon shells.

Hence, according to this, option (d) is the correct pick.

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