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Uncertainty your friend tells you that his height is 182cm. In your own words,explain the range of heights implied by this statement.? What’s the answer?
The range of heigths is [181-183] cm
In physics, every measure has an uncertainty. The simplest source of uncertainty is the one due to the limited sensitivity used to do the measurement: in fact, no instrument has infinite sensitivity, so we cannot perform a measure specifying an infinite number of significant figures.
In the case described in the problem, the measure is quoted as 182 cm. We don’t know what instrument has been used to do the measurement; however, the last significant figure specified in the quoted number is the unit (2). Therefore, we have to assume that the sensitivity of the instrument used is 1 cm: this means that the uncertainty on the measure is 1 cm, and the central value can span in the range
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