|Apr5-12, 09:50 AM||#1|
Uncertainty in radioactive half-life experiment
1. The problem statement, all variables and given/known data
I have conducted an experiment and found the gradient λ of a graph to be (2.15x10^-4) +- (0.15x10^-4)
The graph being ln(A) i.e. the number of disintegrations/unit time - dN/dt against time t
The half-life is
T(1/2) = ln(2)/λ = -3223.9
How do I find the uncertainty in the half-life?
2. Relevant equations
3. The attempt at a solution
|Apr5-12, 11:11 AM||#2|
I now realise that the % uncertainty in λ is 0.15/2.15 = 0.069
Therefore multiply T(1/2) of -3223.9 by 0.069 which equals ±224.9, which is the uncertainty.
3223.9 ± 224.9
How do I correct this to take account of significant figures?
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