Multiple Choice
Calculate the absolute uncertainty from the given problem.
6.77 (± 5.6%)
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3
rank
3. Experimental Error
Uncertainty
Multiple Choice
Determine the absolute and relative uncertainty to the following addition and subtraction problem.
8.88 (± 0.03) - 3.29 (± 0.10) + 6.43 (± 0.001)
A
0.1 absolute; 0.012 relative
B
0.1 absolute; 0.010 relative
C
0.1 absolute; 0.008 relative
D
0.01 absolute; 0.0012 relative
Verified step by step guidance1
Identify the values and their absolute uncertainties: 8.88 (± 0.03), 3.29 (± 0.10), and 6.43 (± 0.001).
Perform the arithmetic operation: 8.88 - 3.29 + 6.43. Calculate the result of this operation without considering uncertainties yet.
Calculate the absolute uncertainty for the entire operation. For addition and subtraction, the absolute uncertainties are combined by taking the square root of the sum of the squares of the individual uncertainties: \( \sqrt{(0.03)^2 + (0.10)^2 + (0.001)^2} \).
Determine the relative uncertainty by dividing the absolute uncertainty by the calculated result from step 2. Express this as a percentage by multiplying by 100.
Summarize the absolute and relative uncertainties, ensuring the relative uncertainty is expressed as a percentage.
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