1.0 Measurements And Their Errors Flashcards
SI unit for mass
Kilogram (Kg)
SI unit for length
Meter (m)
SI unit for time
Second (s)
SI unit for amount of substance
Mole (mol)
SI unit for temperature
Kelvin (K)
SI unit for electrical current
Ampere (A)
SI unit for light intensity
Candela (cd)
Value of Terra (T)
×10¹²
Value of Giga (G)
×10⁹
Value of Mega (M)
×10⁶
Value of Kilo (k)
×10³
Value of Centi (c)
×10⁻²
Value of Milli (m)
×10⁻³
Value of Micro (μ)
×10⁻⁶
Value of Nano (n)
×10⁻⁹
Value of pico (p)
×10⁻¹²
Value of femto (f)
×10⁻¹⁵
J to eV conversion
1.6×10⁻¹⁹
J to kW h conversion
2.778×10⁻⁷
Define random errors
Unpredictable deviations in the result from the true value
Define systematic errors
Constant deviations from true results due to flaws in experimental methods, instrument calibration, or environmental conditions.
Define zero errors
A type of systematic error where a reading is given when the true reading should be zero
Define precision
Degree of exactness or consistency in repeat readings
Define repeatability
The ability to produce consistent results when repeated
Define reproducibility
the ability to obtain the same results when with different equipment, different techniques or completed by another person
Define resolution
The smallest change in a measured quantity that an instrument can detect or display
Define accuracy
How close a result is to the true value
Define uncertainty
The measure of how confident you can be in a measurement
Absolute uncertainty
uncertainty given as a fixed quantity
e.g. 100 cm ± 1 cm
Fractional uncertainty
uncertainty given as a fraction of the measurement
Percentage uncertainty
uncertainty given as a percentage of the measurement
Uncertainty in a reading
± half the smallest division
Uncertainty in a measurement
at least ±1 smallest division
Uncertainty in repeated data
± half the range
The uncertainty in digital readings
± the last significant digit unless otherwise quoted
Adding or subtracting data with uncertainties
add absolute uncertainties
Multiplying or dividing data with uncertainties
add fractional or percentage uncertainties
Raising data with uncertainties to a power
multiply the percentage uncertainty by the power
How to measure uncertainty on graphs
Use error bars
Directions of error bars
vertical - uncertainty in y
horizontal - uncertainty in x
Error bar values
Shows the absolute uncertainty
Best gradient in graph uncertainties
best line that passes as close to the points as possible
Worst gradient in graph uncertainties
either the steepest possible or the shallowest possible line which fits within all the error bars
Percentage uncertainty in the gradient
=(best - worst)÷best × 100
Percentage uncertainty in the y-intercept
=(best - worst)÷best × 100
Orders of magnitude
Scale of a value expressed as an order of 10
Speed of sound in air
300m/s
Atmospheric pressure
1×10⁵Pa