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# Uncertainty, Signficant Figures, and Energy Diagrams

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Find the absolute uncertainty of the following calculations and express the answer with the proper number of significant figures.
a) 2.0394 (Â± 0.0008) + 3.256 (Â± 0.004) - 1.17 (Â± 0.01) = ______________________________
b) 91.3 (Â± 0.5) * 40.03 (Â± 0.02) / 16.1 (Â± 0.3) = _____________________________________
c) [12.34 (Â± 0.04) - 7.453 (Â± 0.007)] / 18.4 (Â± 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 (Â± 0.0008) + 3.256 (Â± 0.004) - 1.17 (Â± 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 ïƒ  4.13 (the third number only has hundredths place)