Key Defintions Flashcards
Precise
Multiple measurements with the same or very similar results.
Accurate
How close a measurement is to the true value.
Systematic Error (what is it)
An error of measurement due to readings that systematically differ from the actual value (follow a pattern, trend or bias)
Systematic Error (defining features)
Poor accuracy
Definite causes
Reproducable
Cannot be eliminated with a mean
Random Error (what is it)
An error of measurement due to readings that vary randomly (or have an outlier) with no recognisable pattern, trend or bias.
Random Error (defining features)
Poor precision
Nonspecific causes
Not reproducable
Can be reduced by calculating a mean.
Elastic Behaviour
Deforms when force is applied, returns to original shape when force removed
Plastic Behaviour
Deforms when force is applied, does not return to original shape when force removed
Brittle
Breaks through cracks/fracture propagation (little/none plastic deformation)
Ductile
Undergoes plastic deformation under tensile forces
Malleable
Undergoes plastic deformation under compressive forces
Tough
Can absorb a lot of energy (by plastic deformation) before breaking
Hard
Resistance to scratching
Stiff
Requires lots of force for a little amount of deformation
Strong
Requires large forces to break
Hooke’s Law
For a material behaving elastically, the extension/compression is proportional to the force applied
Ionic Bonds
Strong bonds formed by the transfer of electrons between atoms
Covalent Bonds
Bonds that hold atoms together in molecules, formed by the sharing of electrons.
Metallic Bonds
Some electrons loosely held and not tied to particular atoms.
A metal is effectively made up of +ve ions in a sea of -ve electrons.
Hydrogen Bonds
Weak bonds which hold together adjacent molecules (such as water) through electrostatic attraction between the slightly +ve oxygen and slightly -ve hydrogen of adjacent molecules
Crystalline
Atoms bonded w/ a regular arrangement extending in all three spatial directions
Polycrystalline
Made up of many interlocking crystals
Atoms bonded in a ‘regular’ structure
Boundaries between separate interlocking grains
Amorphus
Atoms bonded w/out irregular structure
Has regions of weakness, brittle
Toughness
Can be indicated by the energy absorbed before breaking, per unit cross-sectional area
1D defect
Point Defect
Types of defect (1D)
Vacancy
Interstatial Impurity
Substitution Impurity
2D defect
Line Deformity
Types of defect (2D)
Edge Dislocation
Line defects often ____ under stress due to _____. This leads to ___ and will continue until ___.
Migrate
Breaking and reforming of bonds
The plastic flow of deformations
The line defects reach the grain boundary and build up
Charge Carrier Density
The number of free conduction electrons per m^3 of material
m-^3
Charge Carrier Density of an Insulator
approx. 10^7 m^-3
Charge Carrier Density of a Conductor
approx. 10^28 m^-3
Semi-Conductor
materials who’s conductivity changes depending on outside conditions
Metal
Consists of a single element or a blend of elements (alloy)
Metal properties
Tend to be good conductors (heat + elec)
Tend to be strong, stiff and tough
Generally hard, malleable and ductile
Ceramic
Chemical compound (often oxides or nitrates)
Often formed by mixing a starting material with water, shaping and then firing to harden
Ceramic Properties
Generally inert with high melting points
Generally very strong and stiff
Usually hard and brittle
Polymer (Definition + general property)
Organic compound made of long chain molecules
Typically strong and flexible
Thermoplastics (Polymer)
Easily moulded into desired shape when warm (can be remelted and shaped)
Thermosets (Polymer)
Hard and brittle, difficult to shape after polymerisation (even if heated)
Composites
Combine desirable properties of different component materials
Limit of Proportionality
Up until this point a material behaves as a regular elastic solid
Yield Point
Denotes the onset of plastic deformation
Yield Strength
The stress at which an object starts to plastically deform. This is at the Yield Point
Wavelength of Gamma Radiation
Less than 1 pm
Less than 1*10^-12 m
Wavelength of X-Rays
Between 1 pm and 1 nm
Between 1 *10^-12 m and 1 *10^-9 m
Wavelength of UV
Between 1 nm and 400 nm
Between 1 *10^-9 m and 400 *10^-9 m
Wavelength of Visible
Between 400 nm (purple) and 750 nm (red)
Between 400 *10^-9 m and 750 *10^-9 m
Wavelength of Infrared
Between 750 nm and 2.5 μm
Between 750 *10^-9 m and 2.5 *10^-6 m
Wavelength of Near Infrared
Between 2.5 μm and 25 μm
Between 2.5 *10^-6 m and 25 *10^-6 m
Wavelength of Microwave
Between 25 μm and 1 mm
Between 25 *10^-6 m and 1 *10^-3 m
Wavelength of Radiowave
Greater than 1 mm
Greater than 1*10^-3 m
Wavefronts after focussing are ____.
Curved
n.b. lenses add constant curvature
Lens Power
The curvature a lens adds to the wavefronts, measured in dioptres (D)
Focal length =
Radius of Curvature (r)
Convex Lens w/ a very distant object
Image at focal point
Convex Lens w/ object beyond focal point
Image visible (no specific place, depends on distance)
Convex Lens w/ object at focal point
Very distant image
Convex lens, object > 2f
Image -
Real
Inverted
Smaller than object
Convex lens, f < object < 2f
Image -
Real
Inverted
Larger than object
Convex lens, object = 2f
Image -
Real
Inverted
Same Size
Convex lens, object < f
Image -
Virtual
Upright
Larger than object
Smoothing an Image
Apply a mean filter to each pixel
(replace each pixel by the mean of it and its 8 neighbours)
Noise
False/Random data in an image caused by interferance
Removed using a median filter
Improving Brightness
Add/Subtract a constant value from each pixel
Improving Contrast
Multiply by a particular factor
You want the pixel values to be spread across the whole range (light becomes lighter, dark becomes darker)
Edge detection (Laplace Rule)
Enhances edges in an image (highlight regions with an abrupt change of brightness)
Subtract the N, E , S and W vals from 4 * the pixel val
If no edge but is a gradient, it simply smooths
Transverse wave
Oscillations are perpendicular to the direction of the wave
Polarised Light
The wave only oscillates in one particular direction. Produced by polarising filters or reflection and is made of EM waves
A grill is aligned perpendicular to a polarised wave
Little to no energy loss (before grill vs after)
A grill is aligned at 45° to a polarised wave
Some energy lost
A grill is aligned parallel to a polarised wave
Most/All energy lost
What happens when light reflects off a surface at a suitable angle?
The oscillations of the electric fields become restricted to a direction parallel to the plane of the surface.
Unpolarised light
Has oscillations in many directions. Is produced by the Sun and most lightbulbs and is made of EM waves
Analogue signal
Continuous signals that can have any value between a maximum and a minimum. Likely to pick up noise which affects signal quality
Attenuation
A gradual loss of intensity (or amplitude) of a signal
Digital signal
Has only two values, 0 and 1. Due to this, if noise is picked up, the signal quality is not affected. They can be changed/scrambled/interrupted significantly easier than analogue.
Nyquist Theorem
For a signal to be represented well:
Sampling Frequency > 2 * smallest important freq change
Sampling Frequency > 2 * highest freq
Levelling
The conversion of an analogue signal to a digital signal through sampling
Shannon’s Criteria
A formula to find the number of bits per sample required to adequately translate Analogue -> Digital
Transmission Rate
The amount of information sent per second
Electric Current
‘rate of flow of charge’
the amount of charge passing a certain point in the circuit each second
Coulumb
‘The total charge passing a point when a current of 1 Amp flows for a time of 1 second’
Ammeters
Measure the amount of charge flowing through a point in a circuit each second. Must be in series.
Voltmeter
Compares the energy of charge carriers before and after the component. Must be in parallel.
Resistance
The opposition to current for a given p.d.
Ohms Law
For a fixed resistor at a constant temperature, the current through the resistor is directly proportional to the p.d. across it.
Conductance
The inverse of Resistance
Kirchoff’s First Law
The total current entering a junction is equal to the sum of currents leaving the junction
Rheostat
Electrical instrument used to control a current by varying the resistance
Diode
Unidirectional component. Large amounts of current can only flow in one direction (eg A to B). Little/no current can flow in the other direction (eg B to A)
Thermistor
A resistor which resistance changes depending on the temperature it is at.
Thermistor - PTC
as temp increases, resistance increases
Thermistor - NTC
as temp increases, resistance decreases
Competing effects in a thermistor
Heat up causes greater lattice ion vibrations - resistance up
Heat up releases more electrons, so more current - resistance down
LDR - light dependant resistor
High resistance in standard conditions. When illuminated, electrons are released - resistance down
Calibrated
Correlating the readings of an instrument with known readings in order to check accuracy of instrument
Response Time
The time it takes for a sensor to respond to a change in outside conditions
Sensitivity
The change in reading on the instrument per unit change in outside condition
Resolution
The smallest change an instrument can detect
Electromotive Force (EMF)
Energy per unit charge transferred into the circuit at the power supply. ε
Energy gained per unit charge by the charge carriers in a circuit
Internal resistance
The resistance of the power supply.
Treated as an extra resistor in series with the external circuit
Terminal p.d.
The sum of the p.d. of all the load resistors. Always less than EMF because of internal resistance (not included in ‘load’ resistors)
Longitudional
The oscillations are parallel to the direction of motion
Amplitude
Maximum displacement of a wave
Frequency
The number of oscillations that occur each second
Displacement (wave)
Distance of a point on a wave from its position of equilibrium
Compression (wave)
Lots of particles in a set area
Rarefaction
Very few particles in a set area
Wave Speed
The speed at which energy is transmitted by a wave
The speed at which a wave front propagates
Coherent
Two waves with the same frequency, same wavelength and a constant phase relationship
Superposition
Two waves meeting and combining. Their displacements add together
Constructive Superposition (coherent)
When two coherant waves meet and combine (and are in phase), the displacements add together.
(a +ve displacement plus a +ve displacement or -ve plus -ve)
Destructive Superposition (coherent)
When two coherent waves meet and combine (and are antiphase) the displacements subtract.
(a -ve displacement plus a +ve displacement or +ve plus -ve)
Incoherent waves or not antiphase waves superposing
Can get very complex as can end up with a mix of constructive or destructive
When does a standing wave form
When two progressive waves of the same frequency and wavelength travel in opposite directions and superpose
Node (standing wave)
A place where the waves always meet in antiphase (undergo destructive superposition). They are always stationary on the middle line
Antinode (standing wave)
A place where the waves always meet in phase (undergo constructive superposition). They are always at the same point but can be max +ve or max -ve (two different wave forms)
Phase difference
The difference in phase (or angular difference) between two points on a wave (or the same point on two waves)
In phase
One complete cycle apart (0° or a multiple of 360°)
Can be written in radians
Antiphase
A half cycle out of phase (a multiple of 180° excluding multiples of 360°)
Out of Phase
Not in phase or antiphase.
Diffraction
The spreading out of a wave into a ‘shadow region’ as the wave travels through a gap or past a barrier
When does the greatest diffraction occur
When the gap/barrier is the same as the wavelength of the incident wave
Interference
Occurs when waves overlap and their resultant displacement is the sum of the displacement of each wave. Often occurs after diffraction
What colour of light diffracts the most/least?
Red diffracts most and violet the least as red has a longer wavelength
What happens when white light is diffracted
Different wavelengths of light separate out as they are diffracted different amounts
Single slit diffraction
Produces a fringe pattern, central fringe is much brighter + 2x the width of the other fringes
Double slit diffraction
Fringe intensity is max at n = 0
The intensity decreases symmetrically as n increases
All fringes are a uniform thickness
Diffraction grating diffraction
Fringes have a similar intensity
Fringes are symmetrical about n = 0
Fringe width < distance between fringes
Fringes equally spaced
Total Internal Reflection
Occurs when the angle of incidence exceeds the critical angle
Path length
The difference between a wave source and a point in space
Often measured in multiples of λ
Path difference
The difference in path lengths between two sources to the same point.
What happens when a wave is transmitted from low - > high density medium
Wave speed decreases
Wave length decreases
Frequency remains constant
Refraction
The bending of light as it hits a boundary between two media of different optical densities at an angle
Refractive Index
The ratio of the speed of light in the first medium to the speed of the wave in the second medium
Absolute refractive index
The ratio of speed of light in air (or a vacuum) to the speed of light in the medium
Charge carried by one electron
1.6 * 10^-19 C
Electrons in 1 C of charge
6.3 * 10^18 electrons
Capacitor
Stores charge (and therefore pd) on parallel conductive plates, separated by an insulating layer (dielectric)
Radioactive decay is ___
Random
Exponential
Spontanious
Radioactive decay (Spontaneous)
Is not affected by external conditions
Radioactive decay (Exponential)
The rate of decay is proportional to the number of radioactive (parent) isotopes present
Radioactive decay (Random)
Can’t predict exactly when each nucleus will decay
Can give a probability it will decay in a fixed time interval
The photoelectric effect
The emission of electrons from the surface of a material due to the exposure of a material to EM radiation
Threshold Frequency
The minimum frequency of the EM required for a specific material to undergo the photoelectric effect.
Intensity and the photoelectric effect
Once the threshold frequency has been reached, the higher the intensity the more electrons are released from the surface of the material
Frequency and the photoelectric effect
Once the threshold frequency has been reached, the higher the frequency the higher the maximum KE of the emitted electrons.
Key Problems with Wave Theory (photoelectric effect)
Threshold Frequency - All frequencies should have eventually caused emission (but didn’t)
Increase in Intensity - Should have increased emissions for all frequencies, not just those above threshold
The metal should not have immediately released electrons, it should have taken time (esp on lower frequencies)
Photon
A quanta of light
Intensity
energy arriving per m^2 of area per second