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Uncertainty, Signficant Figures, and Energy Diagrams

Find the absolute uncertainty of the following calculations and express the answer with the proper number of significant figures.
a) 2.0394 (± 0.0008) + 3.256 (± 0.004) - 1.17 (± 0.01) = ______________________________
b) 91.3 (± 0.5) * 40.03 (± 0.02) / 16.1 (± 0.3) = _____________________________________
c) [12.34 (± 0.04) - 7.453 (± 0.007)] / 18.4 (± 0.2) = _________________________________
(6 points)
On the energy level diagram below illustrate a process that involves absorption, nonradiative relaxation, and fluorescence. Use arrow notation and label each transition.
________________ v = 4
________________ v = 3
________________ v = 2
________________ v = 1
E1 ________________ v = 0
________________ v = 4
________________ v = 3
________________ v = 2
________________ v = 1
E0 ________________ v = 0

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ind the absolute uncertainty of the following calculations and express the answer with the proper number of significant figures.
a) 2.0394 (± 0.0008) + 3.256 (± 0.004) - 1.17 (± 0.01) =
______________________________

When you are adding or subtracting uncertainty, you just add the values. First add the actual numbers:
2.0394 + 3.256 - 1.17 = 4.1254  4.13 (the third number only has hundredths place)
Now add the uncertainties:
0.0008 + 0.004 + 0.01 = 0.0148. This needs to be 0.01 because it is the smallest place of the number ...

Solution Summary

This solution explains:

1) How to find absolute uncertainty and how to use significant figures in mathematical calculations.

2) How an energy level diagram representing absorption, nonradiative relaxation, and fluorescence will appear.

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