Help Calculate Errors: Lambda & n Uncertainty on 'n2

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SUMMARY

The discussion focuses on calculating the uncertainty of "n2" given the uncertainty in lambda and a constant value for n1 (which is 2). The user, Owen, attempts to apply the error propagation formula errorλ = error n * dλ/dn but struggles to derive dy/dn. A key formula provided in the discussion is dλ/λ = 2 * (n1^2 * dn2) / (n2 * |n2^2 - n1^2|), which is crucial for calculating the uncertainty accurately.

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Homework Statement



I need to find the uncertainty on "n2" I have the uncertainty on lambda, n1 is not a variable - its 2, R is a constant. Only things that have errors are lambda and n

Homework Equations



rydberg20equation201.jpe


The Attempt at a Solution



Tried working out using calculus, but every time I do it I get a different aswer

Im trying to use errorλ= error n * dλ/dn

But I can't get dy/dn - I've been up all night - don't judge me


Any help would be seriously SERIOUSLY helpful!

Thanks!
Owen.
 
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I think that the error is

<br /> \frac{d \lambda}{\lambda}=2 \frac{n_1^2 \; dn_2}{n_2 \: |n_2^2-n_1^2|}<br />
 
sorry - didnt get a chance to thank you for that - was too busy rushing out to get the project handed in - thanks a lot! :)
 

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