University Physics Volume 1
18th Edition
ISBN: 9781938168277
Author: William Moebs, Samuel J. Ling, Jeff Sanny
Publisher: OpenStax - Rice University
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Textbook Question
Chapter 1, Problem 11CQ
Significant Figures
(a) What is the relationship between the precision and the uncertainty of a measurement? (b) What is the relationship between the accuracy and the discrepancy of a measurement?
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(a) How many significant figures are in the numbers 99.0 and 100.0?
99.0
100.0
(b) If the uncertainty in each number is 1, what is the percent uncertainty in each? (Give your answer to 3 significant figures.)
99.0
%
100.0
%
(c) Which is a more meaningful way to express the accuracy of these two numbers, significant figures or percent uncertainties?
significant figurespercent uncertainties
(a) What is the relationship between the precision and the uncertainty of a measurement? (b) What is the relationship between the accuracy and the discrepancy of a measurement?
So we take a pile of paper, we count the number of sheets, and obtain 226. Then, we measure how tall the pile is with a ruler: 24.0 mm.
As discussed in section 1, we could have a long argument about how much exactly should the uncertainty of this measurement be. Let’s settle to ± 0.5 mm
Chapter 1 Solutions
University Physics Volume 1
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