Topic 1: Measurements and uncertainties Flashcards
What is the base unit for length?
metre
What is the symbol for metre?
m
What is the base quantity of a meter?
length
What is the base unit for mass?
kilogram
What is the symbol for a kilogram?
kg
What is the base quantity for a kilogram?
mass
What is the base unit for time?
second
What is the symbol for a second?
s
What is the base quantity for a second?
time
What is the base unit for a current?
ampere
What is the symbol for an ampere?
A
What is the base quantity for an ampere?
current
What is the base unit for temperature?
Kelvin
What is the symbol for Kelvin?
K
What is the base quantity for Kelvin?
temperature
What is the base unit of an amount of substance?
mole
What is the symbol for mole?
mol
What is the base quantity for a mole?
Amount of substance
What are derived units?
units that are made up out of base units
What are units that are made up out of base units?
derived units
What is the unit for force?
Newton
What does a Newton measure?
force
What is the unit for energy?
Joule
What does a Joule measure?
energy
What is the unit for pressure?
Pascal
What does a Pascal measure?
pressure
What is the unit for power?
Watt
What does a watt measure?
power
What is the unit for electric charge?
Coloumb
What does a Coulomb measure?
electric charge
What is the symbol for Newton?
N
What is the symbol for Pascal?
Pa
What is the symbol for Joule?
J
What is the symbol for watt?
W
How do you multiply scientific notation?
multiply numbers and add exponents
How do you divide scientific notation?
divide numbers and subtract exponents
What is precision?
how well repeated measurements of a value agree with one another (exact)
What is how well repeated measurements of a value agree with one another (exact)?
precision
What is accuracy?
how well a measurement agrees with the true value (correct)
What is how well a measurement agrees with the true value (correct)?
accuracy
What is calibration?
an instrument that is precise but not accurate can be calibrated
What is an instrument that is precise but not accurate can be calibrated?
calibration
When using an analog scale, what is the uncertainty?
plus or minus half the smallest scale division
On what scale is it when the uncertainty is plus or minus half the smallest scale division?
analog scale
When using a digital scale, what is the uncertainty?
plus or minus the smallest unit shown
On what scale is it when the uncertainty is plus or minus the smallest unit shown?
digital scale
When taking repeated measurement how do you find the uncertainty?
find the difference between the average and the measurement that is furthest from the average
How do you find the order of magnitude?
Put things in 10’s and see how many you need (exponent) for estimation
What is the order of magnitude for the size of subatomic particles to the extent of the visible universe?
10^-15 m to 10^25 m
What is the order of magnitude for the mass of the electron to the mass of the universe?
10^-30 kg to 10^50 kg
What is the order of magnitude for time for light to cross a nucleus to the age of the Universe?
10^-23 s to 10^18 s
What is the order of magnitude for the size of a hydrogen atom?
10^-10 m
What is the order of magnitude for the size of a proton?
10^-15 m
What is the ratio of diameter of a hydrogen atom to its nucleus?
10^-10/10^-15 = 10^5
What is displacement?
the distance moved in a stated direction (the distance and direction from the starting point)
What is the distance moved in a stated direction (the distance and direction from the starting point)?
displacement
Is displacement a vector?
Yes
What is velocity?
the rate of change of displacement
What is the rate of change of displacement?
velocity
Is velocity a vector?
Yes
What is acceleration?
the rate of change of velocity
What is the rate of change of velocity?
acceleration
Is acceleration a vector?
Yes
What is average speed/velocity?
change in distance/displacement divided by time taken over a period of time
What is the change in distance/displacement divided by time taken over a period of time?
average speed/velocity
What is instantaneous speed/velocity?
the change in distance/displacement divided by time at one particular time
What is the change in distance/displacement divided by time at one particular time?
instantaneous speed/velocity
Is motion relative?
Yes
What is a frame of reference?
a point from which a situation is observed
What is a point from which a situation is observed?
a frame of reference
What is a scalar quantity?
can be described by a number with units
What is a vector quantity?
must be described by a number (its magnitude) and its direction
How do you find displacement?
s2-s1
What are systematic errors and examples of them?
Systematic errors are constant errors that are due to faults in the system used to measure a variable.
Examples are miscalibration, wearing down over time, or a constant delay in every reading.
They will be precise but not accurate.
What are random errors and examples of them?
Random errors can occur in any method of measuring but happen primarily when estimating.
These will differ from trial to trial and are not precise.
For example, measuring the speed of sound when making a loud clap a distance from the wall might cause a random error due to the reaction time of the experimenters measuring the time it takes the sound to travel.
What are absolute uncertainties?
When the uncertainty is given in the same unit as the answer given and should be written to the same number of decimal places.
E.g. 294.56 ± 3.01 N
What are fractional uncertainties?
When the uncertainty is given as a fraction of the original quantity. It is dimensionless (without units).
E.g. 2.6 ± 0.2 = 2.6 ± (0.2/2.6 or 0.077)
What are percentage uncertainties?
When the uncertainty is given as a percentage of the original quantity. You can get this from multiplying the fractional uncertainty by 100.
E.g. 2.6 ± 0.2 = 2.6 ± 7.7%
What is the combination of the uncertainties of different quantities called?
Propagation of uncertainties
What do you do to the uncertainty of two values when you add or subtract them?
You add the absolute uncertainties.
What do you do to the uncertainty of two values when you multiply or divide them?
You add their fractional or percentage uncertainties.