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Lambda(λ) the Decay Constant and exponential decay
It may be the case that this derivation is not required by your particular syllabus. However, understanding how equations are derived from first principles will give you a deeper understanding of physics. This indirectly will probably lead to a better result.
The rate of decay(activity, A) is proportional to the number of parent nuclei(N) present.
λ(lambda) is a positive constant called the decay constant. It has the unit s-1 .
The minus sign is included because N decreases as the time t in seconds (s) increases .
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