Review the key concepts, formulae, and examples before starting your quiz.
🔑Concepts
The atom consists of a nucleus containing protons and neutrons (nucleons), surrounded by electrons. The notation for a nuclide is , where is the nucleon (mass) number and is the proton (atomic) number.
Isotopes are atoms of the same element with the same number of protons () but different numbers of neutrons (different ).
Radioactive decay is a random process in which unstable nuclei emit radiation to become more stable. The three main types are alpha (), beta (), and gamma ().
Alpha () particles are Helium nuclei (). They have high ionizing power, low penetration (stopped by paper), and are deflected by electric/magnetic fields.
Beta () particles are high-speed electrons () emitted when a neutron turns into a proton. They have moderate ionizing power and penetration (stopped by few mm of aluminum).
Gamma () rays are high-frequency electromagnetic waves. They have low ionizing power but very high penetration (reduced by thick lead or concrete).
Half-life () is the time taken for half the nuclei of a radioactive isotope in a sample to decay, or the time taken for the activity (measured in Becquerels, ) to halve.
Nuclear fission is the splitting of a large nucleus into two smaller daughter nuclei, releasing energy. Nuclear fusion is the joining of two light nuclei to form a heavier nucleus, occurring in stars at very high temperatures.
Background radiation is the low-level radiation present from natural sources (radon gas, cosmic rays, rocks) and artificial sources (medical X-rays, fallout).
📐Formulae
💡Examples
Problem 1:
A sample of undergoes alpha decay. Determine the proton number and nucleon number of the resulting Radon () nucleus.
Solution:
The resulting nucleus is .
Explanation:
In decay, the nucleus emits a particle. Therefore, the nucleon number decreases by () and the proton number decreases by ().
Problem 2:
A radioactive source has an initial activity of . If its half-life is , calculate its activity after .
Solution:
Explanation:
First, find the number of half-lives: . After 1 half-life: . After 2 half-lives: . After 3 half-lives: .
Problem 3:
Complete the beta decay equation for Carbon-14: . Find and .
Solution:
Explanation:
In decay, a neutron changes into a proton and an electron. The nucleon number remains unchanged (), while the proton number increases by ().