Why is the final answer for the micrometer measurement 3% instead of 2.9%?

In summary, the discussion is about determining the correct number of significant figures for a micrometer measurement. The micrometer has a range of 0.35 and 0.01mm, leading to a final answer of C, 3%. However, there is a debate on whether the final answer should also be to 2 significant figures or not. It is argued that the marks on the micrometer are more accurate than 0.01mm, and the actual error could be +/- (0.005+ε). Therefore, it is unclear how many significant digits should be used, but two seems reasonable. Additionally, it is pointed out that the ratio of 0.005/0.35 is 1.4%, not
  • #1
trew
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I thought that since he micrometer is to 2 significant figures (0.35 and 0.01mm) that the final answer should also be to 2 sig.figs, thus answer A.

But the final answer is C, 3%. Can someone explain why?
 
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  • #2
0.01 is one significant digit. Leading zeros do not count.
 
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  • #3
Orodruin said:
0.01 is one significant digit.
Yes, but the marks on the micrometer will be rather more accurate than to the nearest 0.01mm. If you take a reading to the nearest 0.01mm according to the gradations, the actual error will be +/-(0.005+ε) where ε is the error range for the gradations.
So there is insufficient information to say how many significant digits should be quoted, but two seems reasonable.

Worse, 0.005/0.35 = 1.4%, not 2.9%.
 

What is an experiment?

An experiment is a scientific procedure conducted to test a hypothesis or answer a research question. It involves manipulating one or more variables while keeping all other factors constant in order to observe the effects on the outcome.

What is uncertainty in an experiment?

Uncertainty in an experiment refers to the degree of doubt or error associated with the results. It is a measure of the accuracy and precision of the experiment and can be influenced by various factors such as equipment limitations, human error, and natural variability.

How is uncertainty quantified in an experiment?

Uncertainty can be quantified through a statistical measure called standard deviation. This measures the spread of data points from the average value, providing a numerical value for the uncertainty. It can also be represented graphically through error bars on a graph.

Why is it important to consider uncertainty in experiments?

Considering uncertainty in experiments is important because it allows for a more accurate and reliable interpretation of the results. It also enables other scientists to replicate the experiment and obtain similar results, thus increasing the validity and credibility of the findings.

How can uncertainty be reduced in experiments?

Uncertainty can be reduced in experiments by using more precise and accurate equipment, increasing the sample size, and controlling for external factors. Proper training and careful execution of the experiment can also help minimize human error. Additionally, conducting multiple trials and taking the average can help reduce uncertainty.

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