Karteikarten
Chapter 7: Quantum Behaviour
Karten in diesem Stapel (122)
- 17.1; QUANTUM BEHAVIOUR.
- 2What 3 things can you explain by modelling light as a wave?-Refraction
-Diffraction
-Interference. - 3What can this model not explain however?Some other phenomena.
- 4What happens when you take a photograph in progressively dimmer light? What does this suggest?Photograph breaks up into randomly arranged exposed patches on the film/
Suggesting light is arriving randomly in small packets. - 5What happens when you turn up the brightness?The packets of light arrive at a greater rate, produces smooth-looking picture
- 6What are these packets, or quanta of light called?Photons.
- 7So what does a dimmer photograph mean there are?Fewer photons.
- 8So what is the case where the picture is: -bright? -dim?-Bright: Good chance of photons arriving at that location.
-Dim: Lower chance. - 9What are these however?Probabilities, not certainties.
- 10When is the random nature of the arrival of photons much more obvious?When the rate of arrival is low.
- 11What did Planck suggest?The idea that electromagnetic radiation can be emitted in energy quanta (discrete packets of energy).
- 12How did Einstein extend this concept?Electromagnetic radiation is not only emitted in energy quanta, but is also absorbed as quanta (photons).
- 13What happens to electromagnetic radiation of frequency f? What is this relationship?It is emitted and absorbed in quanta (of energy E) where:
Energy E (J) = Planck Constant h (Js) x Frequency f (Hz).
E=hf - 14Since the speed of light c=fλ, what can we write?Can write f=c/λ, and substitute this into the photon-energy equation to give:
E = hc/λ - 15Why is the Joule not a convenient energy unit to use when discussing the energy of photons or sub-atomic particles?Because the energy values considered are so small.
- 16What is often used as an alternative unit?The electronvolt (eV)
- 17What is one electronvolt?The energy transferred when an electron moves through a potential difference of one volt.
- 18How many joules is one electronvolt (1 eV)?(Charge of an electron) J.
- 19What is the photoelectric effect?Emission of electrons (photoelectrons) when light of a sufficiently high frequency strikes a metal surface.
- 20What is the intensity of light?The amount of energy transferred per m^2 per second.
- 21What do we think of intensity as in everyday language?The brightness of a light source.
- 22What 2 things did the wave model of light suggest?-Would be a delay in the emission of photoelectrons from the metal surface using low intensity light to strike it.
-More intense light = greater kinetic energy of photoelectrons. - 23However, what 3 things were found?-Kinetic energy of the ejected electrons not affected by the intensity of light.
-Kinetic energy depends on frequency of light
-Intensity effects the number of electrons produced (higher intensity = greater numbers). - 24Is there a measurable delay in the emission with low intensity light?No.
- 25What happened if the frequency was lower than a certain threshold frequency 'fo'?No electrons were released, no matter how high intensity was.
- 26What does it take to remove an electron from the metal surface? What is this known as?A certain amount of energy- known as the work function of the metal, ϕ
- 27What does Einstein's equation state that?The maximum kinetic energy of the ejected electrons =
The energy of an individual photon -
The work function of the metal.
Ek(max) = hf - ϕ - 28Why must the energy of the electron be described as the maximum kinetic energy?Some photons interact with electrons a little below the surface (Require more energy to be released than at surface).
-Cannot be sure where the electrons emitted came from. - 29What happens when one photon strikes the surface of the metal?-It transfers energy, hf, to an individual electron.
-Some of this energy, ϕ, goes to releasing the electron from the surface.
-Any remaining energy is transferred as the kinetic energy of the electron. - 30What is the gradient of a frequency-Ek(max) graph?The Planck constant
- 31How can the work function be calculated? Therefore what can we say?By finding the threshold frequency (intercept on frequency axis) and multiplying it by the Planck constant (the gradient).
ϕ=hfo. - 32What do electrons in atoms have?Different energies.
- 33How can these electrons gain and lose energy?By changing energy levels.
- 34When do atoms release photons?When an electron falls from a higher energy level to a lower energy level.
- 35What is the energy of this released photon?Equal to the difference between the energy levels.
- 36How could this be shown in a diagram?(See diagram).
- 37What would be the case for a photon emitted by an electron moving from level 4 to level 1?High energy, so short wavelength and higher frequency.
- 38What would be the case for a photon emitted by an electron moving from level 4 to level 3?Low energy, so long wavelength and lower frequency.
- 39What 2 things will higher energy photons have?-Higher frequency
-Shorter wavelength. - 40What happens when a compound or element is heated?Electrons in the atoms move into higher energy levels, and photons are released as the electrons fall back to lower levels.
- 41What is an example of this?Materials 'glowing' red-hot when heated to a sufficiently high temperature.
- 42What do atoms of each element have?Their own set of energy levels.
- 43What does this mean they will emit?Emit photons of different energies, so light of different wavelengths.
- 44What can a diffraction grating be used to do?Spread incident light into its component wavelengths.
- 45What do line spectra resemble?Multi-coloured bar codes- each line produced by electrons dropping from a higher energy level to a lower one within the visible spectrum.
- 46So what do atoms of each element have?Their own pattern of lines.
- 47For example, what if yellow-orange light was the only pattern of lines on a spectra?Then this is the colour of that particular light.
- 48What are LEDs?Semiconducting devices that only allow current to travel in one direction.
- 49What happens as an electron crosses from one side of the diode to the other?It falls to a lower energy level and emits a photon.
- 50How can the energy change between levels be calculated?By multiplying the p.d. across the diode when it just begins to glow (strike voltage) by the charge on an electron.
- 51What does this value also depend on? Why?Depends on the semiconducting material-because diodes made from different semiconducting materials will release photons of different energy (so light of different wavelengths).
- 52What do semiconductors have?A band gap.
- 53What happens if enough voltage is applied?Electrons can move across the gap, so a photon is emitted.
- 54Why does the energy of the photon have a set value?Because the gap has a set value.
- 55What do LEDs requite to light? What is this given by?Requite a minimum voltage (strike voltage) to light:
eVo = hf - 56Since power is energy per second, what is the power of a lamp in terms of photons?(Number of photons emitted per second x energy per photon) / Time.
- 577.2; QUANTUM BEHAVIOUR AND PROBABILITY..
- 58How do quantum objects such as photons behave? Is it wave or particle behaviour?Have own way of behaving- not wave or particle behaviour.
- 59What is the rule for quantum behaviour?Explore all possible paths.
- 60What 2 types of effects does this quantum behaviour produce?- Wave-like effects- such as interference
- Particle-like effects- such as the way images build up. - 61What is a photon emitted by and how it is detected?Emitted by a source and is detected at a certain place and time.
- 62What must we imagine?The photon taking every possible path from the source to arrive at that place and time.
- 63What does a longer path mean?The photon will have to be emitted at an earlier time.
- 64What does the path include?The emission, travel and detection of a photon.
- 65What can be calculated for each path?A phasor arrow.
- 66What can the phasor arrow be thought of as?Rotating with frequency.
- 67What does f=E/h for?The time it takes the photon to travel the length of the path- the trip time
- 68What can be determined for each path?The angle at which the phasor ends up.
- 69How do you get the resultant phasor?You add the phasor arrows for all possible paths, tip-to-tail.
- 70What 2 things determine trip time?Trip distance and speed.
- 71What do longer paths lead to? Why?More phasor rotation, as it takes longer to explore each path.
- 72How do you find the chance of a photon hitting the detector?By squaring the amplitude from the resultant phasor.
- 73What produces more accurate calculations?Repeating for more paths.
- 74What does the amplitude of the resultant phasor arrow at a particular location give?A measure of the probability of a photon arriving at that point.
- 75What is this relationship?The larger the amplitude, the higher the probability of arrival.
- 76Why is this an important statement?Because it shows that where photons end up is not a certainty, but a probability.
- 77What does this explain?The random nature of the arrival of protons.
- 78What does 'probability' in this sense mean?How likely it is that a photon will arrive at a particular place during a given time interval.
- 79What is the rate at which energy arrives at a point on a screen?The intensity of the light at that point.
- 80What is intensity proportional to?The probability of the arrival of a photon.
- 81What is this intensity of light also proportional to?The square of the length of the resultant phasor arrow at that point.
- 82Therefore, what relationship can we form?Probability of the arrival of a photon ∝ Square of the length of the resultant phasor arrow.
- 83What can we use to turn this relationship into an equation?A constant of proportionality (k).
- 84What law do photons obey?The law of reflection.
- 85So, what angle do they come off the surface of a mirror at?The same angle at which they reach it.
(See diagram). - 86How is the angle through which a phasor turns related to the trip time?Longer the trip time, larger the angle.
- 87Where is the smallest rotation?For the path in the middle.
- 88What happens if the resultant phasor is found?(See diagram).
- 89What happens if this is repeated for many significant paths?-Phasors from the end paths curl up
-Phasors from the centre paths line up
(See diagram). - 90What does a longer trip lead to?More rotations.
- 91What do the phasors from the ends do?Reach the detector at very different phases and tend to curl up.
- 92Do these paths contribute much to the resultant amplitude?No.
- 93What do the paths taken near the equal-angled path (path that follows the law of reflection)?They have little phase difference and line up.
- 94What comes from these paths?Most of the probability of photons arriving at the detector.
- 95What happens to photons in glass?They slow down.
- 96So, what will a phasor arrow for a photon travelling a given distance in glass make?More rotations than the arrow for a photon travelling the same distance through air.
(See diagram) - 97What happens to photons travelling straight through the lens to the detector?They take the shortest possible route but are slowed down in the glass.
- 98What happens to photons taking the longest route (to the tip of the lens)?They take the longest route but are not slowed down by the glass.
- 99What is the point at which the lens focuses the light?The point at which all the phasor arrows have made the same number of rotations.
- 100What must be remembered?V = s/t,
and the velocity of photons in air is c. - 1017.3; ELECTRON DIFFRACTION.
- 102What wave-like behaviour do electrons show?They can diffract.
- 103What did Davisson and Thomson demonstrate?That a thin layer of atoms can act as a natural diffraction grating.
- 104What does the 2-dimensional array of atoms produce?A diffraction pattern of concentric circles.
- 105What does this show?That electrons show wave-like behaviour.
- 106What would particle behaviour result in?A central bright region with no concentric circles.
- 107What do experiments show?That electrons diffract through slits in the same manner as light.
- 108What did de Broglie develop?An equation which suggested that an electron has a wavelength associated with it.
- 109What is this wavelength related to?The Planck constant, h, and the momentum of the electron, p.
- 110What is de Broglie's equation?λ = h/p
- 111Because momentum is given as mv (mass x velocity) of the electron, what can this be rewritten as?λ = h/mv
- 112Why are electrons not exactly like protons?Electrons have mass, so cannot travel at the speed of light like a photon- they travel at slower speeds.
- 113However, how are electrons similar to protons?They explore all possible paths between 2 points.
- 114What can therefore be done?A phasor can be used to track the phase change along every path.
- 115What is similar about phasors for photons and electrons?They superpose in the same way.
- 116When an electron is emitted, what does a longer path mean?The electron will have to be emitted at an earlier time.
- 117What does this depend on?The speed of the electron.
- 118What does a path include?The whole process of emission, travel and detection of an electron.
- 119What can the phasors arrows be thought of as doing?Making one turn for each distance h/p along the path.
- 120What can be calculated from the square of the resultant phasor?The probability of detection of an electron.
- 121What would modern electron microscopes not work without?The quantum behaviour of electrons.
- 122What is built up as electrons arrive at a detector?An electron interface pattern.
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- AS - Level Physics (AS) Karteikarten am Chapter 7: Quantum Behaviour, erstellt von Matt Clancy am 22/04/2016.
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- Matt Clancy · Apr 2016
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- 23 Mai 2016
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