For some measuring processes, the uncertainty is approximately proportional to the value of the measurement. For example, a certain scale is said to have an uncertainty of ±2%. An object is weighed on this scale.
a. Given that the reading is 100 g, express the uncertainty in this measurement in grams.
b. Given that the reading is 50 g, express the uncertainty in this measurement in grams.
(a) The uncertainty is 0.02(100) = 2 g
(b) The uncertainty is 0.02(50) = 1 g
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