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Convert the following relative uncertainties to absolute
Chapter 3, Problem 12E(choose chapter or problem)
Convert the following relative uncertainties to absolute uncertainties.
a. \(48.41 \pm 0.3 \%\)
b. \(991.7 \pm 0.6 \%\)
c. \(0.011 \pm 9 \%\)
d. \(7.86 \pm 1\)
Equation Transcription:
Text Transcription:
48.41{+/-}0.3%
991.7{+/-}0.6%
0.011{+/-}9%
7.86{+/-}1%
Questions & Answers
QUESTION:
Convert the following relative uncertainties to absolute uncertainties.
a. \(48.41 \pm 0.3 \%\)
b. \(991.7 \pm 0.6 \%\)
c. \(0.011 \pm 9 \%\)
d. \(7.86 \pm 1\)
Equation Transcription:
Text Transcription:
48.41{+/-}0.3%
991.7{+/-}0.6%
0.011{+/-}9%
7.86{+/-}1%
ANSWER:
Solution
Step 1 of 4
Here we have to convert the relative uncertainties to absolute uncertainties
For that we have to multiply the relative uncertainties with estimated value and divide with 100
a) The given uncertainty is 48.410.3%
The absolute uncertainty is(48.41)(0.3)/100=0.145
The estimate is 48.410.145