1: Measurements and their Errors Flashcards

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1
Q

What are SI units?

A

The Fundamental (base) units

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2
Q

What are the 6 fundamental units?

A

Kilogram/Kg (mass), Amperes/A (electric current), Kelvin/C (temperature), Metres/m (length) , Time/s (time) and Moles/Mol (amount of substance).

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3
Q

What is a random error?

A

An error that affects precision and cannot be completely removed, it causes differences in measurements.

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4
Q

What is a systematic error?

A

An error that affects accuracy and occurs due to faults in equipment or experimental method, causing the result to be too large/small by the same amount each time.

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5
Q

What are 3 ways to reduce random error?

A
  • take at least 3 repeats and calculate a mean
  • use a computer or a data logger
  • use higher resolution equipment
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6
Q

How can systematic error be reduced?

A

Calibrate apparatus before using.

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7
Q

What is precision?

A

Precise measurements are consistent, they fluctuate slightly about a mean value - this doesn’t indicate the value is accurate.

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8
Q

What is repeatability?

A

If the original experimenter can redo the experiment with the same equipment and method then get the same results - that is repeatable.

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9
Q

What is reproductibility?

A

If the experiment is redone by a different person or with different techniques and equipment and the same results are found, it is reproduceible.

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10
Q

What is the standard form for each prefix? Negative

A

c - x10^-1, d - x10^-2, m - x10^-3, m - x10^-6, n - x10^-9, p - x10^-12, f - x10^-15

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11
Q

What is resolution?

A

The smallest change in the quantity being measured that gives a recognisable change in reading.

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12
Q

What is an accurate value?

A

If the value is close to the true value.

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13
Q

What is absolute uncertainty?

A

uncertainty given as a fixed quantity.

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14
Q

What are the prefixes?

A

Tera/T, Giga/G, Mega/M, Kilo/k, Centi/c, Deci/d, Milli/m, Micro, Nano/n, Pico/p, Femto/f.

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15
Q

What is the standard form for each prefix? Positive

A

T - x10^12, G - x10^9, M - x10^6, k - x10^3

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16
Q

What is fractional uncertainty?

A

Absolute uncertainty / measured value

17
Q

What is percentage uncertainty?

A

(absolute uncertainty / measured value) * 100

18
Q

How do we combine uncertainties?

A

When adding and subtracting we add the absolute uncertainties together, when multiplying or dividing we add the percentage or fractional uncertainties. When rising to a power, we multiply the percentage uncertainty by the power.

19
Q

What is an error bar?

A

The uncertainty shown on a graph. They show the absolute uncertainty.

20
Q

Where does the ‘best’ line of best fit sit?

A

Passes close to the points as possible.

21
Q

where does the ‘worst’ line of best fit sit?

A

either steepest or shallowest possible line that still goes through all the error bars.

22
Q

How do we calculate the percentage uncertainty from the gradient?

A

(best gradient - worst gradient) / best gradient * 100

23
Q

How do we calculate the percentage uncertainty from the y-intercept?

A

(best y-intercept - worst y-intercept) / best y-intercept x 100

24
Q

What are the derived units?

A

Newtons/N, Joules/J, Pascals/Pa

25
Q

How do you deduce Newtons?

A

Newtons =
Force = mass x acceleration
N = Kg x ms^-2
N = Kgms^-2

26
Q

How do we convert J to eV (electronvolts)?

A

J –> eV = divide by 1.6 x10^-19
eV –> J = multiply by 1.6 x 10^-19

27
Q

How to de convert J to kWh?

A

J –> kWh = divide by 3.6 x 10^6
kWh –> J = multiply by 3.6 x 10^6

1kWh = 3600kWs
3600kWs = 3,600,000Ws
3,600,000Ws = 3,600,000J = 3.6MJ

28
Q

How do you find the uncertainty of a reading?

A

1/2 x resolution

29
Q

How do you find the uncertainty of a measurement?

A

+/- smallest division

30
Q

what is the uncertainty for repeated data?

A

range / 2