AQA AS Physics – Module 1 revision notes AS Module 1: Particles, Radiation, and Quantum Phenomena General Notes: Main headings in blue, number refers to AQA syllabus reference. Red text is not implicitly required for this syllabus, but included for the sake of completeness. Tasks are in italics. Refraction at plane surfaces (10.2.1) When light (or any electromagnetic radiation) travels from one medium to another, it’s velocity changes. This also results in a change in the direction of travel (unless the light hits the boundary between the two surfaces at exactly 90o). This effect is called refraction. The amount of refraction depends upon how much the velocity of the wave is altered. The refractive index for light passing from medium 1, to medium 2 is expressed as 1n2. Where, n2 = v1/v2 1 Also, the change in direction can be found using Snell’s law of refraction; n2 = sin 1 / sin 2 1 Page 1 of 7 © NRToone - 12/02/2016 AQA AS Physics – Module 1 revision notes Practical Exercise Find the refractive index of perspex to 3 sig. fig. using a ray box and a rectangular perspex block. Record between 8 and 12 data sets of 1 and 2 , and use these to find the refractive index of perspex by plotting a suitable graph. Hint, use the equation of a straight line y=m x + c method. Then use the refractive index to calculate the velocity of light in Perspex if the velocity of light in air is 3.00 x 108m/s. Relationship between refractive Indices of different Media Total Internal Reflection When light travels from a more dense to a less dense medium (e.g. from glass to air) it’s path is bent away from the normal (fig a). If you increase the angle of incidence, angle i, then the angle r also increases. However, as angle r is always greater than angle i, it will become equal to 90 before angle i does (fig b). This value for the angle of incidence is called the critical angle, angle c. At this point, and for all angles greater than the critical angle, since the light can no longer be reflected, it is all reflected, hence Total Internal Reflection. Page 2 of 7 © NRToone - 12/02/2016 AQA AS Physics – Module 1 revision notes The relationship between the critical angle and the refractive index is: NB This gives the refractive index for light going from the less dense to the more dense medium. [Proof: 1n2 = sin 1 / sin 2 1n2 = sin 90 / sin c but sin 90 = 1, therefore; n2 = 1 / sin c 1 ] Fibre Optics AQA syllabus requires simple treatment of fibre optics including function of cladding with lower refractive index around central core limited to step index only; candidates should be familiar with modern applications of fibre optics, e.g. endoscopy, communications, etc. The optical fibre (in its simplest form) consists of a core of glass of one refractive index, and a cladding of a slightly lower refractive index. A protective plastic coating protects the fibre from damage. Page 3 of 7 © NRToone - 12/02/2016 AQA AS Physics – Module 1 revision notes A light source coupled to the optical fibre emits a cone of light into the core of the fibre. Only rays such as the blue and the magenta ones which meet the requirement for total internal reflection to occur will be guided in the fibre along a zig-zag path. However, other rays such as the red one will be refracted in the cladding and will not be propagated along the fibre. Page 4 of 7 © NRToone - 12/02/2016 AQA AS Physics – Module 1 revision notes The Photoelectric Effect (10.2.2) Description The photoelectric effect is when light is incident on a metal surface, electrons are liberated from that metal surface. The light has to be of a sufficiently high frequency (the threshold frequency), for this effect to occur. The threshold frequency is different for different metals, but is usually in the UV region of the E-M spectrum. The photoelectic effect is evidence for the particle nature of light. Observation 1: Light intensity does not increase the KE of the liberated electrons, but it does increase the number that are emitted. Conclusion: Light is made up of particles (photons), and increasing the intensity, increases the number of photons incident on the surface. Each photon can release one electron. Observation 2: Below a certain frequency, no electrons are emitted from the surface. Conclusion: The energy of a photon is proportional to it’s frequency, and below the threshold frequency, the energy of the photon is not sufficient for the electron to overcome the forces binding it to the surface of the metal. Energy in the Photoelectric effect When a photon is incident on the metal surface and releases an electron, the photon disappears and it’s energy is used in two ways. Some energy is used to overcome the forces holding the electron to the surface of the metal (the work function), and the remainder is the maximum KE that the electron may acquire as it leaves the surface. hf = +Ek hf = energy of photon of frequency f h = Planck’s constant = work function of metal Ek = maximum kinetic energy of emitted photon The work function is the minimum energy required to eject a (photo-)electron from the metal surface. Common examination errors: Saying that a photon is emitted instead of a (photo-)electron. Confusing this effect with ionisation, the metal atom is not ionised. Page 5 of 7 © NRToone - 12/02/2016 AQA AS Physics – Module 1 revision notes Energy Levels and Spectra (10.2.3) The electronvolt Because the energies involved are very small, the electronvolt (eV), a much smaller unit than the joule, is often used. 1 eV = 1.6 x 10 -19 J Remember to convert all energies from eV to Joules before doing any calculations. Ionisation and excitation If an electron gains energy it may rise to a higher energy level within the atom. To do this it can absorb a photon, as long as the energy of the photon is exactly the energy difference between two energy levels, e.g. hf=E2 - E1. In this case the photon disappears although a new photon will be emitted when the electron de-excites a short time later. An alternative mechanism for excitation is that the electron can gain energy from a collision with another particle. In this case the electron gains some but not all of the KE of the colliding particle, which will continue on it’s way with the remainder. Again the amount of energy transferred will be equivalent to the difference between two energy levels. Ionisation occurs when an electron gains enough energy to escape from an atom. If the energy gained by the escaping electron is greater than the energy it needed to escape (the ionization energy) then the difference will be carried off as KE. Photon emission After excitation, the electron very quickly falls back down to a lower energy level. In doing so, a photon is released with an energy equivalent to the difference between two energy levels, e.g. hf=E4 - E1. It may drop down directly to the lowest ground state, or, if it is at level 3 or higher, it may drop down in two or more stages, in which case it will release a photon at each stage, e.g. E4 -> E1 or E4 -> E3 then E3 -> E1. Line Spectra When excited electrons de-excite (drop down to a lower energy level) and release a photon, these photons can be observed in the form of a line spectrum. Each of the bright lines in the spectrum represent one specific energy level transition. As different elements will have different electron configurations, each element will have a unique line spectrum. The simplest atom is hydrogen with only one electron so not surprisingly it’s line spectrum is the simplest and is most commonly used in examination questions. Page 6 of 7 © NRToone - 12/02/2016 AQA AS Physics – Module 1 revision notes Wave-particle duality (10.2.4) State what is meant by the wave-particle duality of electromagnetic radiation: The properties of electromagnetic radiation can be explained by considering it behave as either a wave or as a particle. Evidence for Electrons behaving as waves: Electrons can be diffracted. Evidence for Electro-magnetic radiation behaving as particles: The photo-electric effect. Evidence for Electro-magnetic radiation behaving as waves: Diffraction, interference and refraction. Calculation of the de Broglie wavelength of electrons: Wavelength = h/mv h = Planck’s constant (Note: mv = momentum) Sometimes you will be asked to calculate what frequency electromagnetic radiation of this wavelength would posses, in which case use wave speed = frequency x wavelength. Page 7 of 7 © NRToone - 12/02/2016