Astrophysics. | ||
Introduction to the universe. [link] | ||
The solar system and beyond. | ||
E.1.1 | Outline the general structure of the solar system. | |
E.1.2 | Distinguish between a stellar cluster and a constellation. | |
E.1.3 | Define the light year. | |
E.1.4 | Compare the relative distances between stars within a galaxy and between galaxies, in terms of order of magnitude. | |
E.1.5 | Describe the apparent motion of the stars/constellations over a period of a night and over a period of a year, and explain these observations in terms of the rotation and revolution of the Earth. | |
Stellar radiation and stellar types. | ||
Energy source. | ||
E.2.1 | State that fusion is the main energy source of stars. | |
E.2.2 | Explain that, in a stable star (for example, our Sun), there is an equilibrium[] between radiation pressure and gravitational pressure. | |
Luminosity. | ||
E.2.3 | Define the luminosity of a star. | |
E.2.4 | Define apparent brightness and state how it is measured. | |
Wiens law and the Stefan-Boltzmann law. | ||
E.2.5 | Apply the Stefan-Boltzmann law to compare the luminosities of different stars. | |
E.2.6 | State Wiens (displacement) law and apply it to explain the connection between the colour and temperature[] of stars. | |
Stellar spectra. | ||
E.2.7 | Explain how atomic spectra may be used to deduce chemical and physical data for stars. | |
E.2.8 | Describe the overall classification system of spectral classes. | |
Types of star. | ||
E.2.9 | Describe the different types of star. | |
E.2.10 | Discuss the characteristics of spectroscopic and eclipsing binary stars. | |
The Hertzsprung-Russell diagram. | ||
E.2.11 | Identify the general regions of star types on a Hertzsprung-Russell (HR) diagram. | |
Stellar distances. | ||
Parallax method. | ||
E.3.1 | Define the parsec. | |
E.3.2 | Describe the stellar parallax method of determining the distance to a star. | |
E.3.3 | Explain why the method of stellar parallax is limited to measuring stellar distances less then several hundred parsecs. | |
E.3.4 | Solve problems involving stellar parallax. | |
Absolute and apparent magnitudes. | ||
E.3.5 | Describe the apparent magnitude scale. | |
E.3.6 | Define absolute magnitude. | |
E.3.7 | Solve problems involving apparent magnitude, absolute magnitude and distance. | |
E.3.8 | Solve problems involving apparent brightness and apparent magnitude. | |
Spectroscopic parallax. | ||
E.3.9 | State that the luminosity of a star may be estimated from its spectrum. | |
E.3.10 | Explain how stellar distance may be determined using apparent brightness and luminosity. | |
E.3.11 | State that the method of spectroscopic parallax is limited to measuring steallar distances less than about 10 Mpc. | |
E.3.12 | Solve problems involving stellar distances, apparent brightness and luminosity. | |
Cepheid variables. | ||
E.3.13 | Outline the nature of a Cepheid variable. | |
E.3.14 | State the relationship between period and absolute magnitude for Cepheid variables. | |
E.3.15 | Explain how Cepheid variables may be used as "standard candles". | |
E.3.16 | Determine the distance to a Cepheid variable using the luminosity-period relationship. | |
Cosmology | ||
Olbers paradox | ||
E.4.1 | Describe Newtons model of the universe. | |
E.4.2 | Explain Olbers paradox. | |
The Big Bang model. | ||
E.4.3 | Suggest that the red-shift of light from galaxies indicates that the universe is expanding. | |
E.4.4 | Describe both space and time as originating with the Big Bang. | |
E.4.5 | Describe the discovery of cosmic microwave background (CMB) radiation by Penzias and Wilson. | |
E.4.6 | Explain how cosmic radiation in the microwave region is consistent with the Big Bang model. | |
E.4.7 | Suggest how the Big Bang model provides a resolution[] to Olbers paradox. | |
The development of the universe. | ||
E.4.8 | Distinguish between the terms open, flat and closed when used to describe the development of the universe. | |
E.4.9 | Define the term critical density by reference to a flat model of the development of the universe. | |
E.4.10 | Discuss how the density of the universe determines the development of the universe. | |
E.4.11 | Discuss problems associated with determining the density of the universe. | |
E.4.12 | State that current scientific evidence suggests that the universe is open. | |
E.4.13 | Discuss an example of the international nature of recent astrophysics research. | |
E.4.14 | Evaluate arguments related to investing significant resources into researching the nature of the universe. | |
Stellar processes and stellar evolution. | ||
Nucleosynthesis. | ||
E.5.1 | Describe the conditions that initiate fusion in a star. | |
E.5.2 | State the effect of stars mass on the end product of nuclear fusion. | |
E.5.3 | Outline the changes that take place in nucleosynthesis when a star leaves the main sequence and ecomes a red giant. | |
Evolutionary paths of stars and stellar processes. | ||
E.5.4 | Apply the mass-luminosity relation. | |
E.5.5 | Explain how the Chandrasekhar and Oppenheimer-Volkoff limits are used to predict the fate of stars of different masses. | |
E.5.6 | Compare the fate of a red giant and a red supergiant. | |
E.5.7 | Draw evolutionary paths of stars on an HR diagram. | |
E.5.8 | Outline the characteristics of pulsars. | |
Galaxies and the expanding universe. | ||
Galactic motion. | ||
E.6.1 | Describe the distribution of galaxies in the universe. | |
E.6.2 | Explain the red-shift of light from distant galaxies. | |
E.6.3 | Solve problems involving red-shift and the recession speed of galaxies. | |
Hubbles law. | ||
E.6.4 | State Hubbles law. | |
E.6.5 | Discuss the limitations of Hubbles law. | |
E.6.6 | Explain how the Hubble constant may be determined. | |
E.6.7 | Explain how the Hubble constant may be used to estimate the age of the universe. | |
E.6.8 | Solve problems involving Hubbles law. | |
E.6.9 | Explain how the expansion of the universe made possible the formation of light nuclei and atoms. | |
Communications. |
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Radio communication. | ||
F.1.1 | Describe what is meant by the modulation of a wave. | |
F.1.2 | Distinguish between a carrier wave and a signal wave. | |
F.1.3 | Describe the nature of amplitude modulation (AM) and frequency modulation (FM). | |
F.1.4 | Solve problems based on the modulation of the carrier wave in order to determine the frequency and amplitude of the information signal. | |
F.1.5 | Sketch and analyse graphs of the power[] spectrum of a carrier wave that is amplitude-modulated by a single-frequency signal. | |
F.1.6 | Define what is meant by sideband frequencies and bandwidth. | |
F.1.7 | Solve problems involving sideband frequencies and bandwidth. | |
F.1.8 | Describe the relative advantages and disadvantages of AM and FM for radio transmission and reception. | |
F.1.9 | Describe, by means of a block diagram, an AM radio receiver. | |
Digital signals. | ||
F.2.1 | Solve problems involving the conversion between binary[] numbers and decimal numbers. | |
F.2.2 | Distinguish between analogue and digital signals. | |
F.2.3 | State the advantages of the digital transmission, as compared to the analogue transmission, of information. | |
F.2.4 | Describe, using block diagrams, the principles of the transmission and reception of digital signals. | |
F.2.5 | Explain the significance of the number of bits and the bit-rate on the reproduction of a transmitted signal. | |
F.2.6 | Describe what is meant by time-division multiplexing. | |
F.2.7 | Solve problems involving analogue-to-digital conversion. | |
F.2.8 | Describe the consequences of digital communication and multiplexing on worldwide communications. | |
F.2.9 | Discuss the moral, ethical, economic and environmental issues arising from access to the Internet. | |
Optic fibre transmission. | ||
F.3.1 | Explain what is meant by critical angle and total internal reflection. | |
F.3.2 | Solve problems involving refractive index[] and critical angle. | |
F.3.3 | Apply the concept of total internal reflection to the transmission of light along an optic fibre. | |
F.3.4 | Describe the effects of material dispersion and modal dispersion. | |
F.3.5 | Explain what is meant by attenuation and solve problems involving attenuation measured in decibels (dB). | |
F.3.6 | Describe the variation with wavelength of the attenuation of radiation in the core of a monomode fibre. | |
F.3.7 | State what is meant by noise in an optic fibre. | |
F.3.8 | Describe the role of amplifiers and reshapers in optic fibre transmission. | |
F.3.9 | Solve problems involving optic fibres. | |
Channels of communication. | ||
F.4.1 | Outline different channels of communication, including wire pairs, coaxial cables, optic fibres, radio waves and satellite communication. | |
F.4.2 | Discuss the uses and the relative advantages and disadvantages of wire pairs, coaxial cables, optic fibres and radio waves. | |
F.4.3 | State what is meant by a geostationary satellite. | |
F.4.4 | State the order of magnitude of the frequencies used for communication with geostationary satellites, and explain why the up-link frequency and the down-link frequency are different. | |
F.4.5 | Discuss the relative advantages and disadvantages of the use of geostationary and of polar-orbiting satellites for communication. | |
F.4.6 | Discuss the moral, ethical, economic and environmental issues arising from satellite communication. | |
Electronics. | ||
F.5.1 | State the properties of an ideal operation amplifier (op-amp). | |
F.5.2 | Draw circuit diagrams for both inverting and non-inverting amplifiers (with a single input) incorporating operational amplifiers. | |
F.5.3 | Derive an expression for the gain of an inverting amplifier and for a non-inverting amplifier. | |
F.5.4 | Describe the use of an operational amplifier circuit as a comparitor. | |
F.5.5 | Describe the use of a Schmitt trigger for the reshaping of digital pulses. | |
F.5.6 | Solve problems involving circuits[] incorporating operational amplifiers. | |
The mobile phone system. | ||
F.6.1 | State that any area is divided into a number of cells (each with its own base station) to which is allocated a range of frequencies. | |
F.6.2 | Describe the role of the cellular exchange and the public switched telephone network (PSTN) in communications using mobile phones. | |
F.6.3 | Discuss the use of mobile phones in multimedia communication. | |
F.6.4 | Discuss the moral, ethical, economic, environmental and international issues arising from the use of mobile phones. | |
Electromagnetic waves. |
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The nature of EM waves and light sources. | ||
Nature and properties of EM waves. | ||
G.1.1 | Outline the nature of electromagnetic (EM) waves. | |
G.1.2 | Describe the different regions of the electromagnetic spectrum. | |
G.1.3 | Describe what is meant by the dispersion of EM waves. | |
G.1.4 | Describe the dispersion of EM waves in terms of the dependence of refractive index[] on wavelength. | |
G.1.5 | Distinguish between transmission, absorption and scattering of radiation. | |
G.1.6 | Discuss examples of the transmission, absorption and scattering of EM radiation. | |
Lasers | ||
G.1.7 | Explain the terms monochromatic and coherent. | |
G.1.8 | Identify laser light as a source of coherent light. | |
G.1.9 | Outline the mechanism for the production of laser light. | |
G.1.10 | Ouline an application of the use of a laser. | |
Optical instruments. | ||
G.2.1 | Define the terms principle axis, focal point, focal length and linear magnification as applied to a converging (convex) lens. | |
G.2.2 | Define the power[] of a convex lens and the dioptre. | |
G.2.3 | Define linear magnification. | |
G.2.4 | Construct ray diagrams to locate the image formed by a convex lens. | |
G.2.5 | Distinguish between a real image and a virtual image. | |
G.2.6 | Apply the convention "real is positive, virtual is negative" to the thin lens formula. | |
G.2.7 | Solve problems for a single convex lens using the thin lens formula. | |
The simple magnifying glass. | ||
G.2.8 | Define the terms far point and near point for the unaided eye. | |
G.2.9 | Define angular magnification. | |
G.2.10 | Derive an expression for the angular magnification of a simple magnifying glass for an image formed at the near point and at infinity. | |
The compound microscope and astronomical telescope. | ||
G.2.11 | Construct a ray diagram for a compound microscope with final image formed close to the near point of the eye (normal adjustment). | |
G.2.12 | Construct a ray diagram for an astronomical telescope with the final image at infinity (normal adjustment). | |
G.2.13 | State the equation relating angular magnification to the focal lengths of the lenses in an astronomical telescope in normal adjustment. | |
G.2.14 | Solve problems involving the compound microscope and the astronomical telescope. | |
Aberrations. | ||
G.2.15 | Explain the meaning of spherical aberration and of chromatic aberration as produced by a single lens. | |
G.2.16 | Describe how spherical aberration in a lens may be reduced. | |
G.2.17 | Describe how chromatic aberration in a lens may be reduced. | |
Two source interference of waves. | ||
G.3.1 | State the conditions necessary to observe interference between two sources. | |
G.3.2 | Explain, by means of the principle of superposition, the interference pattern produced by waves from two coherent point sources. | |
G.3.3 | Outline a double-slit experiment for light and draw the intensity distribution of the observed fringe pattern. | |
G.3.4 | Solve problems involving two-source interference. | |
Diffraction[] grating. | ||
Multiple-slit diffraction. | ||
G.4.1 | Describe the effect on the double-slit intensity distribution of increasing the number of slits. | |
G.4.2 | Derive the diffraction grating formula for normal incidence. | |
G.4.3 | Outline the use of a diffraction grating to measure wavelengths. | |
G.4.4 | Solve problems involving a diffration grating. | |
X-rays. | ||
G.5.1 | Outline the experimental arrangement for the production of X-rays. | |
G.5.2 | Draw and annotate a typical X-ray spectrum. | |
G.5.3 | Explain the origins of the features of a characteristic X-ray spectrum. | |
G.5.4 | Solve problems involving accelerating potential difference and minimum wavelength. | |
X-ray diffraction. | ||
G.5.5 | Explain how X-ray diffraction[] arises from the scattering of X-rays in a crystal. | |
G.5.6 | Derive the Bragg scattering equation. | |
G.5.7 | Outline how cubic crystals may be used to measure the wavelength of X-rays. | |
G.5.8 | Outline how X-rays may be used to determine the structure of crystals. | |
G.5.9 | Solve problems involving the Bragg equation. | |
Thin-film interference. | ||
Wedge films. | ||
G.6.1 | Explain the production of interference fringes by a thin air wedge. | |
G.6.2 | Explain how wedge fringes can be used to measure very small separations. | |
G.6.3 | Describe how thin-film interference is used to test optical flats. | |
G.6.4 | Solve problems involving wedge films. | |
Parallel films. | ||
G.6.5 | State the condition for light to undergo either a phase change of π, or no phase change, on reflection[] from an interface. | |
G.6.6 | Describe how a source of light gives rise to an interference pattern when the light is reflected at both surfaces of a parallel film. | |
G.6.7 | State the conditions for constructive and destructive interference. | |
G.6.8 | Explain the formation of coloured fringes when white light is reflected from thin films, such as oil and soap films. | |
G.6.9 | Describe the difference between fringes formed by a parallel film and a wedge film. | |
G.6.10 | Describe applications of parallel thin films. | |
G.6.11 | Solve problems involving parallel films. |