Worksheet: Properties of Stable Nuclei

In this worksheet, we will practice describing common properties of stable isotopes and using shell models to rationalize the existence of magic nuclei.

Q1:

Using the periodic table, identify which of the following is the most stable isotope.

  • A 8 4 3 6 K r
  • B 8 6 3 6 K r
  • C 7 4 3 6 K r
  • D 8 1 3 6 K r
  • E 7 3 3 6 K r

Q2:

Which of the following statements is true?

  • AMost stable isotopes contain an even number of protons and an odd number of neutrons.
  • BMost stable isotopes contain an even number of nucleons, but there are similar numbers of stable isotopes with odd and even atomic numbers.
  • CMost stable isotopes contain an odd number of protons and an odd number of neutrons.
  • DMost stable isotopes contain an even number of protons and an even number of neutrons.
  • EMost stable isotopes contain an odd number of nucleons: isotopes with an even atomic number usually contain an odd number of neutrons, and vice versa.

Q3:

Which of the following is a stable nuclide?

  • ABarium-83
  • BNeon-42
  • CIron-40
  • DAluminum-27
  • ELithium-12

Q4:

Which of the following is the most stable nuclide of an element?

  • A 2 4 1 4 S i
  • B 1 1 8 5 0 S n
  • C 1 4 2 8 2 P b
  • D 8 5 3 2 G e
  • E 2 0 6 C

Q5:

A nuclide contains 𝑍 protons and 𝑁 neutrons. Which of the following expressions is true for most stable nuclides?

  • A 𝑍 > 2 𝑁
  • B 2 𝑍 > 𝑁 > 𝑍
  • C 𝑁 > 2 𝑍
  • D 𝑁 = 𝑍
  • E 2 𝑁 > 𝑍 > 𝑁

Q6:

A nuclide is particularly stable if the number of protons or neutrons is equal to one of the magic numbers: 2, 8, 20, 28, 50, 82 and 126. A double magic nuclide is one in which the numbers of protons and neutrons are both magic.

Which of the following nuclides is double magic?

  • A 7 6 N i
  • B 2 1 0 P b
  • C 1 3 0 S n
  • D 4 8 C a
  • E 1 8 O

What is the difference between the mass numbers of the two most likely double magic isotopes of tin?

Q7:

A nuclide is particularly stable if the number of protons or neutrons is equal to one of the magic numbers: 2, 8, 20, 28, 50, 82 and 126. These nuclides are termed magic.

Which of the following nuclides is not magic?

  • A 2 0 O
  • B 5 2 C r
  • C 3 9 K
  • D 5 0 V
  • E 8 2 N i

How many elements in period 4 of the periodic table have a magic number of protons?

There is one naturally occurring magic isotope of bismuth. What is the mass number of this isotope?

Q8:

Which of the following nuclides has an even number of neutrons?

  • A 1 0 3 P d
  • B 1 0 8 A g
  • C 1 1 0 C d
  • D 1 0 2 R h
  • E 1 0 3 R u

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