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2 cards from this section. Quick, good the night before a test.
What is the combined uncertainty when measuring two lengths: 10.0 cm ± 0.2 cm and 5.0 cm ± 0.1 cm?
Use the quadrature method for addition.
If a weight of 300 g is measured with an uncertainty of ±2 g, what is the relative uncertainty?
Calculate the relative uncertainty as a percentage.
What is the formula for combined uncertainty in addition?
Think about how we combine errors, especially with measurements.
True or False: When multiplying two quantities, their absolute uncertainties simply add together.
Consider how errors might change with larger values.
You measure three different lengths: 100.0 ± 0.1 m, 150.0 ± 0.2 m, and 50.0 ± 0.05 m. Calculate their total length and its uncertainty.
Use quadrature for the uncertainties of each measurement.
A sample’s concentration is found using the formula C = A/(ε*ℓ) where A = measured absorbance with uncertainty of ±0.01, ε = molar absorptivity with uncertainty of ±0.1, and ℓ is 1.0 cm with no uncertainty. Calculate C and its uncertainty.
Remember the formulas for relative uncertainty when dividing.
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