Measurements and Errors Flashcards

1
Q

What are SI units, & name them all.

A

SI units are fundamental units consisting of mass (kg), length (m), time (s), amount of substance (mol), temperature (K), and electric current (A).

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2
Q

What is 1eV equal to?

A

1.60x10^-19 J

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3
Q

What is precision?

A

Consistent measurements about a mean value. Not specifically accurate/close to the true value.

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4
Q

What is accuracy?

A

Measurements are close to the true value.

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5
Q

What is repeatability?

A

When the original experimenter can repeat the same experiment and get the same results.

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6
Q

What is reproducibility?

A

When an experiment can be repeated using different methods, apparatus or experimenters, and get the same results.

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7
Q

What is resolution?

A

The smallest change in the quantity being measured.

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8
Q

What are random errors, and how can we reduce them?

A

Random errors affect precision and spread about the mean. They can be reduced by taking repeat measurements (anomalies can be identified), using computers/data loggers/cameras, and using appropriate equipment (higher resolution).

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9
Q

What are systematic errors and how can we reduce them?

A

Systematic errors affect accuracy, usually due to apparatus or faults in experimental method. Causes results to all be too low/high by the same amount (e.g. zero error, parallax error). They cam be reduces by being aware of the meniscus (read from eye level), background radiation, calibrating apparatus by measuring a known value, and using control variables.

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10
Q

What is uncertainty?

A

The bounds in which the accurate value can be expected to lie in.

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11
Q

What is a reading + how do we find the uncertainty?

A

A reading is where one value is observed. Uncertainty is found ±half the resolution.

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12
Q

What is a measurement + how do we find the uncertainty?

A

A measurement is the difference between two readings. Uncertainty is found ±resolution.

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13
Q

How do we find the uncertainty of digital readings and given values?

A

±the last significant digit.

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14
Q

How do we find the uncertainty of repeated data?

A

mean ±range/2

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15
Q

Combining uncertainties

A

Adding/subtracting: add absolute uncertainties.

Multiplying/dividing: add percentage uncertainties.

Raising to a power: multiply percentage uncertainty by power.

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16
Q

Percentage/fractional uncertainty

A

uncertainty/value

17
Q

Percentage uncertainty using a graph: gradient using best and worst

A

best gradient - worst gradient / best gradient

18
Q

Percentage uncertainty using a graph: y-intercept

A

best y - worst y / best y

19
Q

Percentage uncertainty using a graph: gradient using only worst

A

max worst - min worst / 2