Convert the following relative uncertainties to absolute

Chapter 3, Problem 12E

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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%

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


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