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13 kwi 2023 · Answer. The half-life of the radioactive material is 4.8 days. Explanation. We are going to apply two methods to arrive at our answer. Method 1: Conventional method. 64 g to 32 g = 1 half-life. 32 g to 16 g = 2 half-life. 16 g to 8 g = 3 half-life. 8 g to 4 g = 4 half-life. 4 g to 2 g = 5 half-life. If 5 half-life is equal to 24 days.
The graph shows how the activity of a sample of a radioactive material changes with time. The sample has an initial activity of 80 counts per minute. Use the graph to find the half-life of the material. (ii) Another sample of the material has an initial count rate of 40 counts per minute.
A graph can be used to make half-life calculations. The graph shows how the activity of a radioactive sample changes over time. Each time the original activity halves, another half-life has passed. The time it takes for the activity of the sample to decrease from 100% to 50% is the half-life.
The definition of half-life is the time taken for the count rate from a sample to decrease to half the initial value. If we use a radiation detector, such as a Geiger-Muller tube, we can measure the radiation being emitted from a a sample and calculate the radioactive half life from the results.
Half Life Calculations revision video for AQA GCSE Physics and GCSE Combined science. This formula can be used for some of the count rate calculations. Sample question. A radioactive isotope has an initial count rate of 60000Bq, with a half life of 4 minutes. Calculate the count rate after 12 minutes. 12 minutes/4 minutes = 3 half lives.
Half-life \(t_{1/2}\) is the time in which there is a 50% chance that a nucleus will decay. The number of nuclei \(N\) as a function of time is \[N = N_0e^{-\lambda t},\] where \(N_0\) is the number present at \(t = 0\), and \(\lambda\) is the decay constant, related to the half-life by \[\lambda = \dfrac{0.693}{t_{1/2}}.\]
The half life of an element is the time it will take half of the parent atoms to transmutate into something else (through alpha or beta decays, or another process). This amount of time varies from just 10-22s to 1028s ... that's 1021 years!
