PHYIC CALCULATOR
Radioactive Decay Calculator
A precise tool.
What is the Radioactive Decay Calculator & How does it work?
Radioactive decay is the process by which an unstable atomic nucleus loses energy by emitting radiation. The rate of decay is characterized by a constant called the decay constant, (lambda), or the half-life, (T_{1/2}). The remaining quantity of a radioactive substance after time (t) can be calculated using the formula:
N = N_0 e^{-lambda t}
N = remaining quantity, N_0 = initial quantity, (lambda) = decay constant, t = time
Alternatively, if the half-life is known, it can be used to calculate the decay constant using (lambda = frac{ln 2}{T_{1/2}}).
Parameters
Result
β
Frequently Asked Questions
How do I calculate the decay constant from the half-life?
The decay constant (lambda) can be calculated using the formula: (lambda = rac{ln(2)}{T_{1/2}}), where (T_{1/2}) is the half-life.
What does the remaining quantity N represent?
N represents the amount of a radioactive substance that remains after time t has passed.
How do I use this calculator if I know the half-life instead of the decay constant?
First, calculate the decay constant using (lambda = rac{ln(2)}{T_{1/2}}), then input it into the formula along with the initial quantity and time.
What is the significance of the decay constant in radioactive decay?
The decay constant (lambda) is a measure of how quickly a radioactive substance decays. It is unique to each radioactive isotope.
Can this calculator be used for any type of radioactive decay?
Yes, this calculator can be used for all types of radioactive decay as long as the decay constant or half-life is known.
What units should I use for time when calculating radioactive decay?
The units for time should match those used for the decay constant. Commonly, time is measured in seconds, minutes, hours, days, or years.
How do I interpret the result from this calculator?
The result represents the fraction of the initial quantity that remains after the specified time period. Multiply by 100 to get a percentage if needed.
Results are for informational purposes only and do not constitute professional advice.