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.

  • A8436Kr
  • B8636Kr
  • C7436Kr
  • D8136Kr
  • E7336Kr

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?

  • A2414Si
  • B11850Sn
  • C14282Pb
  • D8532Ge
  • E206C

Q5:

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

  • A𝑁=𝑍
  • B𝑍>2𝑁
  • C2𝑁>𝑍>𝑁
  • D𝑁>2𝑍
  • E2𝑍>𝑁>𝑍

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?

  • A210Pb
  • B76Ni
  • C18O
  • D48Ca
  • E130Sn

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?

  • A20O
  • B52Cr
  • C39K
  • D50V
  • E82Ni

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?

  • A103Pd
  • B108Ag
  • C110Cd
  • D102Rh
  • E103Ru

Q9:

Which of the following represents the heaviest and most stable nucleus? What is its number of neutrons?

  • ABeryllium, 94Be, 5
  • BCarbon, 126C, 6
  • CTin, 12050Sn, 70
  • DThorium, 23290Th, 142

Nagwa uses cookies to ensure you get the best experience on our website. Learn more about our Privacy Policy.