Measurements and their errors Flashcards

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1
Q

What are each of these prefixes powers

A
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2
Q

What are the types of errors and what does each mean

A
  1. Systematic errors:
    - arise from the use of faulty instruments used or from flaws in the experimental method
    - This type of error is repeated consistently every time the instrument is used or the method is followed, which affects the accuracy of all readings obtained
    - To reduce systematic errors:
    Instruments should be recalibrated, or different instruments should be used
    Corrections or adjustments should be made to the technique
  2. Random errors:
    - cause unpredictable fluctuations in an instrument’s readings as a result of uncontrollable factors, such as environmental conditions
    - This affects the precision of the measurements taken, causing a wider spread of results about the mean value
    - can be reduced by repeating the experiment + finding a mean value
  3. Zero error:
    - This is a type of systematic error which occurs when an instrument gives a reading when the true reading is zero
    - This introduces a fixed error into readings which must be accounted for when the results are recorded
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3
Q

What is accuracy

A
  • A measurement is considered accurate if it is close to the true value
  • The accuracy can be increased by repeating measurements and finding a mean of the results
  • Repeating measurements also helps to identify anomalies that can be omitted from the final results
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4
Q

What is precision

A
  • Precise measurements are ones in which there is very little spread about the mean value, in other words, how close the measured values are to each other
  • If a measurement is repeated several times, it can be described as precise when the values are very similar to, or the same as, each other
  • The precision of a measurement is reflected in the values recorded - measurements to a greater number of decimal places are said to be more precise than those to a whole number
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5
Q

What does repeatable mean

A

A measurement is repeatable if the original experimenter repeats the investigation using the same method and equipment and obtains the same results

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6
Q

What does reproducible mean

A

A measurement is reproducible if the investigation is repeated by another person, or by using different equipment or techniques, and the same results are obtained

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7
Q

What are the two types of uncertainty

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8
Q

How is absolute uncertainty measured

A
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9
Q

How is percentage uncertainty calculated (including the graphical method)

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10
Q

How to convert from J to eV

A
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11
Q

How to convert from J to kWh

A
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12
Q

What does it mean when a value is in an order of magnitude

A

When a number is expressed in an order of 10

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13
Q

What does it mean when a value is an order of magnitude, or two orders of magnitude, larger than another

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14
Q

How can precision and accuracy be shown on a graph

A
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15
Q

What is resolution

A
  • Resolution is the smallest change in the quantity being measured of a measuring instrument that gives a perceptible change in the reading
  • For example, the resolution of a wristwatch is 1 s, whereas the resolution of a digital stop-clock is typically 10 ms (0.01 s)
  • In imaging, resolution can also be described as the ability to see two structures as two separate structures rather than as one fuzzy entity
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16
Q

How to add/subtract uncertainties

A

Add together the absolute uncertainties

17
Q

How to divide/multiply uncertainties

A

Add the percentage or fractional uncertainties

18
Q

How to raise uncertainties to a power

A

Multiply the percentage uncertainty by the power

19
Q

How is parallax error minimised

A

by reading the value on a scale only when the line of sight is perpendicular to the scale readings (i.e.. at eye level)