ehabmozart said:We know that A=-λN ... They are propotional but there is a negative sign.
Radioactivity is the spontaneous decay of unstable atomic nuclei, resulting in the emission of particles and/or electromagnetic radiation.
Half-life is the time it takes for half of the atoms in a radioactive substance to decay. The rate of decay and half-life are inversely related, meaning the shorter the half-life, the faster the decay and the more radioactive a substance is.
The most commonly used unit for measuring radioactivity is the Becquerel (Bq), which represents one decay event per second. Other units include the Curie (Ci) and the disintegration per minute (dpm).
Scientists use graphs, specifically a type called a decay curve, to track the rate of decay of a radioactive substance over time. This allows them to determine the half-life and other important characteristics of the substance.
Studying radioactivity has many practical applications, including medical imaging and cancer treatment, nuclear power generation, and carbon dating. It also helps us understand the natural processes of the Earth and the universe.