Expressing the full width at half maximum Δω by τ

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Homework Statement



I need to express the full width at half maximum Δω as an expression in terms of τ.

Homework Equations



I'm guessing that the expression of Δω will fulfill this task.

The Attempt at a Solution



The problem is I have no idea how to go about the calculations :|
 
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Thread 'Modeling a graph that shows age in relation to depth of an ice sample'

To solve this, I first used the units to work out that a= m* a/m, i.e. t=z/λ. This would allow you to determine the time duration within an interval section by section and then add this to the previous ones to obtain the age of the respective layer. However, this would require a constant thickness per year for each interval. However, since this is most likely not the case, my next consideration was that the age must be the integral of a 1/λ(z) function, which I cannot model.
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