Review the key concepts, formulae, and examples before starting your quiz.
🔑Concepts
Radioactivity is a nuclear phenomenon; it is a spontaneous and random process by which an unstable nucleus emits radiations like , , and to reach a stable state.
The composition of an atom is represented as , where is the mass number (protons + neutrons) and is the atomic number (protons).
-particles are helium nuclei () with a charge of and mass of . They have the highest ionizing power but the least penetrating power.
-particles are fast-moving electrons () emitted from the nucleus when a neutron converts into a proton: .
-radiations are electromagnetic waves of very short wavelength (approx ). They have the highest penetrating power and travel at the speed of light ().
In -decay, the mass number decreases by and the atomic number decreases by .
In -decay, the mass number remains unchanged and the atomic number increases by .
Isotopes are atoms of the same element having the same but different . Isobars have the same but different . Isotones have the same number of neutrons .
📐Formulae
💡Examples
Problem 1:
A radioactive nucleus emits an -particle to form a nucleus . This nucleus then emits a -particle to form a nucleus . Find the atomic number and mass number of .
Solution:
Step 1: -decay of Uranium: . Step 2: -decay of : .
Explanation:
In -decay, the mass number decreases by () and the atomic number decreases by (). In -decay, the mass number remains the same () and the atomic number increases by ().
Problem 2:
Explain why the mass number of a nucleus does not change during -decay even though a particle is emitted.
Solution:
During -decay, a neutron inside the nucleus converts into a proton and an electron ().
Explanation:
Since the mass number is the total sum of protons and neutrons, the loss of one neutron is exactly balanced by the gain of one proton. Thus, remains constant while increases by .