The radioactive decay of an unstable nucleus can be described by the equation below,where the symbols have their usual meaning𝑁 = 𝑁0𝑒−𝜆𝑡(i) Identify all the symbols in the equations above.
Question
The radioactive decay of an unstable nucleus can be described by the equation below,where the symbols have their usual meaning𝑁 = 𝑁0𝑒−𝜆𝑡(i) Identify all the symbols in the equations above.
Solution
In the given equation, the symbols represent the following:
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𝑁: This represents the number of radioactive nuclei that remain after time 't'. It is a variable quantity as it changes with time.
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𝑁0: This is the initial number of radioactive nuclei present at the start of the observation or experiment (i.e., when t = 0). It is a constant quantity.
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𝑒: This is the base of the natural logarithm, approximately equal to 2.71828. It is a mathematical constant.
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−𝜆: This is the decay constant, which is specific to the radioactive substance under consideration. It represents the probability per unit time that a nucleus will decay. It is a negative value in the equation because the number of radioactive nuclei decreases over time.
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𝑡: This represents time. It is a variable quantity as it changes during the observation or experiment.
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