Review the key concepts, formulae, and examples before starting your quiz.
🔑Concepts
Radioactivity is the process by which an unstable atomic nucleus loses energy by radiation. The three main types are Alpha (), Beta (), and Gamma ().
Atomic notation is written as , where is the mass number (protons + neutrons) and is the atomic number (protons).
Alpha particles ( or ) consist of two protons and two neutrons. They are highly ionizing but have low penetration power, being stopped by a sheet of paper.
Beta particles ( or ) are high-energy electrons emitted when a neutron in the nucleus turns into a proton. They have moderate ionizing and penetration power, being stopped by a few millimeters of aluminum.
Gamma radiation () consists of high-frequency electromagnetic waves. They have very low ionizing power but high penetration power, requiring several centimeters of lead or meters of concrete to be stopped.
During Alpha decay, the mass number decreases by 4 and the atomic number decreases by 2. During Beta decay, the mass number remains the same and the atomic number increases by 1.
📐Formulae
💡Examples
Problem 1:
An isotope of Uranium-238 () undergoes alpha decay. Determine the resulting daughter nucleus.
Solution:
Explanation:
In alpha decay, the mass number decreases by 4 () and the atomic number decreases by 2 (). The element with atomic number 90 is Thorium ().
Problem 2:
Carbon-14 () is unstable and undergoes beta decay. Write the balanced nuclear equation.
Solution:
Explanation:
In beta decay, a neutron changes into a proton and an electron. The mass number remains , while the atomic number increases from to . The element with atomic number 7 is Nitrogen ().
Problem 3:
Calculate the number of neutrons in a Radium-226 nucleus ().
Solution:
Explanation:
The number of neutrons is found by subtracting the atomic number () from the mass number ().