Uncertainty in radioactive halflife experimentby ZedCar Tags: experiment, halflife, radioactive, uncertainty 

#1
Apr512, 09:50 AM

P: 340

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 halflife is T(1/2) = ln(2)/λ = 3223.9 How do I find the uncertainty in the halflife? Thank you! 2. Relevant equations 3. The attempt at a solution 



#2
Apr512, 11:11 AM

P: 340

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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