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H1/H2 Physics Definition Booklet 1. Measurement No. 1 Term Base Quantities 2 Derived Quantities Homogeneous Equation 3 4 Systematic Error 5 Random error 6 Accuracy 7 Precision 8 9 Scalar Vector 1 2 Distance Displacement 3 4 5 6 Speed Velocity Acceleration Free Fall Updated Sep 2015 Definitions Base quantities are quantities that can be accurately and easily reproduced and are unchanging with time. Derived quantities are quantities that are obtained from the multiplication or division of base quantities. A physical equation is said to be homogeneous if each of the terms, separated by plus, minus, equality or inequality signs has the same base units. An error is systematic if repeating the measurement under the same conditions yields readings with error of same magnitude and sign. An error is random if repeating the measurement under the same conditions yields readings with error of different magnitude and sign. Readings with random error spread over a certain range within which a mean value may be determined. The accuracy of an experiment is a measure of how close the result of an experiment comes to the true value. The accuracy of an experiment is generally dependent of how well we can control or compensate for systematic errors. The precision of an experiment is a measure of how exactly the result is determined without reference to what that result means. The smaller the uncertainty of the measurement, the more precise is the measurement. The precision of an experiment is dependent on how well we can minimize random errors. A scalar is a physical quantity which has magnitude only. A vector is a physical quantity which has both magnitude and direction. 2. Kinematics Distance is the length of the path taken. Displacement is the distance travelled along a specified direction. Speed is the rate of change of distance. Velocity is the rate of change of displacement. Acceleration is the rate of change of velocity. In the absence of air resistance, an object is said to be in free fall if the only force acting on it is the gravitational force of the Earth. Page 1 H1/H2 Physics Definition Booklet 3. Forces 1 Hooke’s Law 2 Moment of a Force 3 Couple 4 Torque 5 Equilibrium 6 Stable Equilibrium Unstable Equilibrium 7 8 Rigid Body 9 Centre of Mass 10 Centre of gravity 11 Archimedes’ Principle Principle of Flotation 12 1 2 3 4 Hooke’s Law states that within the limit of proportionality, the extension produced in a material is directly proportional to the load applied. Moment is defined as the product of the force and the perpendicular distance between the axis of rotation and the line of action of the force. A couple is a pair of forces, equal in magnitude but opposite in direction but their lines of action do not coincide Torque is the moment of a couple. It is the product of one of the forces and the perpendicular distance between their lines of action An object is said to be in equilibrium if the resultant force acting on it is zero and the resultant torque acting on the object about every axis is zero. A body is said to be in stable equilibrium if it returns to its original position after it has been displaced slightly. An object is in unstable equilibrium if any displacement from its original position lowers its centre of gravity. Toppling occurs when the centre of gravity of an object falls outside its base. One that does not change its shape appreciably when undergoing acceleration. The centre of mass of a body is the single point at which the entire mass of the body can be considered to act The centre of gravity of a body is the single point at which the entire weight of the body can be considered to act. When an object is immersed in a fluid, it experiences an upthrust which is equal to the weight of fluid displaced by it. For a body floating in equilibrium, the weight of the fluid displaced is equal to the weight of the body. 4. Dynamics Newton's first law of motion Newton's first law of motion states that a body will remain in its state of rest or uniform motion in a straight line unless acted upon by a resultant force. Newton's second Newton's second law of motion states that the rate of change law of motion of momentum of a body is proportional to the resultant force acting on it and the change takes place in the direction of the resultant force. Newton's third Newton's third law of motion states that if body A exerts a law of motion force on body B, then body B exerts an equal and opposite force on body A. Inertia Inertia is the property of a body that resists change in motion. Updated Sep 2015 Page 2 H1/H2 Physics Definition Booklet 5 Mass 6 7 Linear Momentum 1 Newton 8 Impulse 9 10 Principle of Conservation of Momentum Elastic collision 11 Inelastic collision 12 Completely inelastic collision 1 Work Done 2 1 Joule 3 4 Energy Principle of Conservation of Energy 5 Kinetic Energy 6 Potential Energy 7 Internal Energy 8 Work-Energy Theorem 9 Principle of Conservation of Mechanical Updated Sep 2015 Mass is a measure of the amount of substance/inertia of the body. The linear momentum of a body is defined as the product of its mass and its velocity. 1 Newton is defined as the force which, when acting on a 1 kilogram mass, produces an acceleration of 1 m s-2. Impulse is the product of the force acting on a body and the time interval during which the force is exerted. (The impulse of the force acting on a body is equal to the change in momentum of the body.) The principle of conservation of momentum states that the total momentum of a system remains constant if no resultant external force acts on the system. Elastic collision in which both momentum and kinetic energy are conserved. Inelastic collision in which momentum is conserved but kinetic energy is not. Completely inelastic collision in which momentum is conserved and the particles stick together after collision so that their final velocities are the same 5. Work, Energy and Power Work done W is defined as the product of the force F and the displacement s made in the direction of the force. 1 joule is defined as the work done by a force of 1 newton when its point of application moves through a distance of 1 metre in the direction of the force. Energy is defined as the stored ability to do work. The Principle of Conservation of Energy states that energy can neither be created nor destroyed in any process. It can be transformed from one form to another, and transferred from one body to another but the total amount remains constant. Kinetic Energy is defined as the energy of a body by virtue of its motion. Potential Energy is defined as the energy of a body by virtue of its position. Internal energy of a gas is the sum of random distribution of kinetic and potential energies of the molecules of a system. The Work-Energy Theorem states that the net work done by external forces acting on a particle is equal to the change in kinetic energy of the particle. When work is done by conservative forces, the total mechanical energy (ie. total kinetic energy and potential energy) of a system is conserved. In other words, the gain in Page 3 H1/H2 Physics Definition Booklet Energy 10 Power 1 Radian 2 Angular Displacement 3 Angular Velocity 4 Period, T 1 Newton's law of gravitation 2 Gravitational Field Gravitational Field Strength, g Gravitational potential energy, U Gravitational potential, 𝜙 3 4 5 6 Equipotential 7 Escape Speed 1 Oscillation or Oscillatory motion Simple harmonic motion 2 3 Amplitude Updated Sep 2015 kinetic energy is equal to the loss in potential energy for the conservative system and vice versa. Power is defined as the rate of doing work. 6. Circular Motion One radian is the angle subtended by an arc length of 1 m in a circle of radius 1 m. Angular displacement is defined as the angle an object makes with respect to a fixed point. For circular motion, this point is taken to be the centre of the circle. Angular velocity ω is defined as the rate of change of angular displacement or the change in angular displacement per unit time. Time taken to complete one revolution 7. Gravitation Newton's law of gravitation states that two point masses attract each other with a force that is proportional to the product of their masses and inversely proportional to the square of the distance between them. The gravitational field is a region of space whereby a test mass placed in it experiences a force. The gravitational field strength at a point is defined as the gravitational force per unit mass at that point. Gravitational potential energy U at a point is defined as the work done by an external agent in bringing a body from infinity to that point (without any change in its kinetic energy). Gravitational potential at a point is defined as the work done per unit mass by an external agent in bringing a body from infinity to that point (without any change in its kinetic energy). Equipotential surfaces are surfaces on which the potential is the same at all points. Escape speed is the minimum speed at which a body can be projected from the surface of a planet so that it reaches an infinite distance from the planet. 8. Oscillation An oscillation or oscillatory motion is a motion in which a system moves back and forth along the same path repeatedly. Simple harmonic motion is as an oscillatory motion of a particle whose acceleration is directly proportional to its displacement from the equilibrium position and this acceleration is always directed towards that position. The amplitude xo is the maximum displacement of the oscillating particle from the equilibrium position. Page 4 H1/H2 Physics Definition Booklet 4 5 6 Period Frequency Phase difference The time taken for one complete oscillation. The number of complete oscillation per unit time. Phase difference , is the difference in the phase angle between the two oscillations which have the same frequency. 7 Damped Oscillation 8 Light or under damping 9 Heavy or over damping 10 Critical damping 11 Forced Oscillation 12 Resonance A damped oscillation is one that is subjected to frictional or dissipative forces like air resistance, so that the amplitude of the oscillation and hence the total energy of the system decreases with time. Light or under damping: The dissipative force is minimal. Definite oscillations occur and the amplitude of oscillation decays exponentially with time. Heavy or over damping: Large dissipative force. No oscillation occurs and the system returns very slowly to equilibrium. Critical damping: Suitable dissipative conditions so that the system returns to equilibrium without overshooting in the shortest possible time When an oscillating system is subjected to this external oscillatory force, the system will oscillate with a frequency equal to the driving frequency, and forced oscillation is said to have occurred. Resonance is said to have taken place when the driving frequency of the external oscillatory force is equal to the natural frequency of the oscillating system. The driving oscillator most easily transfers its energy to the oscillating system. The energy of the system becomes a maximum and the system will oscillate with maximum amplitude 9. Waves 1 Wave 2 Progressive Waves 3 Transverse Waves 4 Longitudinal Waves 5 Polarisation 6 Wavelength Updated Sep 2015 A wave is a propagation of a disturbance which carries energy(and momentum) from one point in space (and time) to another. A progressive or travelling wave is the movement of a disturbance from a source which transfers energy but not material to places around it. Transverse waves are waves in which the displacement of the particles of the medium is perpendicular to the direction of the transfer of energy. Longitudinal waves are waves in which the displacement of the particles of the medium is parallel to the direction of the transfer of energy. A wave is plane polarized if the oscillations in the wave are confined to one direction only. The wavelength is the distance between any two successive points which are in phase. Page 5 H1/H2 Physics Definition Booklet 7 8 9 Wave speed Wavefront Phase difference 10 Intensity of a wave 11 Stationary or standing wave When two progressive waves of equal amplitude and equal frequency travelling with the same speed in opposite directions are superposed, a stationary or standing wave is formed. 10. Superposition 1 Principle of Superposition 2 Diffraction 3 Interference 4 Coherent When two or more waves of the same kind exist simultaneously at a point in space, the resultant displacement of the waves at any point is the vector sum of the displacement due to each wave acting independently. Diffraction is the spreading of waves around an obstacle or through a gap, into its geometrical shadow. Interference occurs when two or more waves of the same kind meet at a point and superpose to produce a resultant wave. The displacement of the resultant wave at any point is given by the Principle of Superposition. Waves from each source have the same frequency and a constant phase difference between them. 11. Thermal Physics 1 Temperature 2 Thermal Equilibrium 3 Zeroth law of thermodynamics 4 Absolute zero 5 Triple point of water 6 One kelvin 7 Internal energy, Updated Sep 2015 Distance the wave profile moves per unit time. A line or surface joining points of a wave that are in phase. Phase difference is a measure, in angular form, of the fraction of a cycle two particles in a waves or two waves are out of step by in their motion. Intensity of a wave is defined as the rate of energy flow per unit cross-sectional area perpendicular to the direction of wave propagation. Temperature is defined as a measure of the average kinetic energy of molecules in a body. Two bodies are said to be in thermal equilibrium when they are in thermal contact and there is no net flow of heat from one body to another. It also means that the two bodies are at the same temperature Zeroth law of thermodynamics states that if bodies A and B are separately in thermal equilibrium with a third body C, then A and B are in thermal equilibrium with each other. Absolute zero (0 K) is the temperature at which the pressure of an ideal gas becomes zero. Triple point of water (273.16 K) is the temperature at which the three phases of water (i.e. ice, water and water vapour) coexist in dynamic equilibrium. One kelvin is defined to be 1/273.16 of the thermodynamic temperature of the triple point of water Internal energy, U of a body can be defined as the sum of the Page 6 H1/H2 Physics Definition Booklet U 8 9 10 11 12 13 14 15 16 17 18 19 1 kinetic energy of all the atoms (molecules) due to their random motion and the potential energy of all the atoms (molecules) due to their positions relative to each other and the forces between them. Heat capacity, C of a body is defined as the quantity of heat Heat capacity absorbed or liberated, Q, by the body per unit temperature change Specific heat capacity of a material, c is defined as the Specific heat quantity of heat absorbed or liberated, Q, per unit mass of the capacity material per unit temperature change Latent heat Latent heat is defined as the quantity of heat absorbed or liberated by a substance in order to change a substance from one phase to another phase without a temperature change. Specific latent heat of fusion of a substance, Lf is defined as Specific latent heat of fusion the quantity of heat required per unit mass to change the substance from the solid phase to the liquid phase without a change in temperature. Specific latent heat of vaporization of a substance, Lv is Specific latent heat of defined as the quantity of heat required per unit mass to vaporization change a substance from the liquid phase to the vapour phase without a change in temperature Evaporation Evaporation is the process by which a liquid, at any temperature, becomes vapour. Boyle’s Law The pressure of a fixed mass of gas is inversely proportional to its volume if the temperature is constant. (isothermal process) Charles’ Law The volume of a fixed mass of gas is directly proportional to its absolute temperature if its pressure is kept constant. (isobaric process) Gay-Lussac’s The pressure of a fixed mass of gas is directly proportional to its absolute temperature if its volume is kept constant. Law (Pressure Law) (isovolumetric/isochoric/isometric process) An ideal gas is one which obeys the equation pV = nRT, at all Ideal Gas pressures, volumes and temperatures. One Mole One mole is the amount of substance which contains the same number of elementary entities as there are atoms in 12 g of carbon-12. The First Law of The First Law of Thermodynamics states that the internal Thermodynamics energy of a system is a function of its state. The increase in internal energy of a system is equal to the sum of the heat absorbed by the system and the work done on the system 12. Electric Field Coulomb's Law Updated Sep 2015 Coulomb's Law states that the electric force between two point charges is proportional to the product of their charges and inversely proportional to the square of the distance Page 7 H1/H2 Physics Definition Booklet 2 Electric field 3 Electric Field Strength Electric Potential V 4 5 Electric Potential Energy U 6 Equipotential Surface 1 Charge 2 3 Electric current Coulomb 4 Electromotive Force (e.m.f) 5 Potential difference (p.d.) 6 One Volt 7 Electrical Resistance 8 One Ohm 9 Ohm’s Law Updated Sep 2015 between them. An electric field is a region of space where a stationary charge placed anywhere in it experiences a force. The electric field strength at a point is defined as the electric force acting per unit positive charge placed at that point. The electric potential V at a point is defined as the work done per unit positive charge by an external agent in bringing a charged body from infinity to that point The electric potential energy U at a point is defined as the work done by an external agent in bringing a charged body from infinity to that point. An equipotential surface is one on which all the points have the same potential. 13. Current of Electricity Charge is the property of a particle that causes an interaction of the particle with other charged particles and material of electrical nature. Electric current is the rate of flow of charge. The coulomb is defined as the charge which passes a section of a circuit when a steady current of one ampere flows for one second. Electromotive force (e.m.f.) of a source of electrical energy is defined as the energy converted from other forms (e.g. chemical, mechanical) into electrical energy per unit charge passing through it. Potential Difference (p.d.) across an electrical device in a circuit is defined as the amount of electrical energy converted to other forms of energy (e.g. heat and light) per unit charge passing through it. One volt is defined as the p.d. across a device in a circuit if one joule of electrical energy is converted to other forms of energy per coulomb of charge passing through it. Electrical resistance of a conductor is defined as the ratio of the potential difference across it to the current flowing through it. One Ohm is defined as the resistance of a conductor per ampere of current flowing through when the p.d. across it is one volt. Ohm’s Law states that the current through a metallic conductor is directly proportional to the potential difference across it, provided the temperature and other physical conditions are kept constant. 14. DC Circuit (No definition) Page 8 H1/H2 Physics Definition Booklet 15. Magnetic Fields and Electromagnetism 1 Magnetic Field 2 Magnetic Flux Density 3 One Tesla 1 Magnetic Flux 2 One weber 3 Faraday’s Law 4 Lenz’s Law 1 Root Mean The root mean square value of an a.c. is defined as the value Square of an a.c. of the steady direct current that would dissipate heat at the same rate as the a.c. in a given resistor. Rectification A process converting a d.c. to an a.c. 18. Quantum Physics 2 1 2 3 4 5 A magnetic field is a region of space where a magnet will experience a force. The magnetic flux density at a point is defined as the force acting per unit current per unit length of the conductor when the conductor is placed at right angles to the field. One tesla is the uniform magnetic flux density which, acting normally to a long straight wire carrying a current of 1 ampere, causes a force per unit length of 1 𝑁𝑚−1 on the conductor. 16. Electromagnetic Induction The magnetic flux through a plane surface is the product of the flux density normal to the surface and the area of the surface. One weber is the quantity of magnetic flux passing through an area of 1 square metre when the flux density normal to the area is 1 tesla. Faraday’s Law states that the induced e.m.f. in a circuit is directly proportional to the rate of change of flux-linkage or to the rate of cutting of magnetic flux. Lenz’s Law states that the direction of the induced e.m.f. is such that it tends to oppose the flux change causing it, and does oppose it if induced current flows 17. Alternating Current Planck’s Quantum Theory Planck’s Quantum Theory states that light is emitted and absorbed as particles or discrete packets of energy called photons. Photon A photon is a quantum of electromagnetic radiation with discrete package of energy. Photoelectric Photoelectric effect is the emission of electrons from the effect surface of a metal when electromagnetic radiation of sufficiently high frequency is shone on it. Work function Work function is the minimum amount of energy required for an electron to escape from the surface of a metal Ionization energy The ionization energy of an atom is the energy required to remove the electron completely from the atom Updated Sep 2015 Page 9 H1/H2 Physics Definition Booklet 6 Transmission Coefficient, T 7 Reflection Coefficient, R 1 Absorption 2 Spontaneous emission 3 Stimulated emission 4 5 Population Inversion Metastable State 6 Forbidden band 7 8 Valence band Conduction band 9 Energy gap 1 Nucleon number (or mass number), A Proton number (or atomic number), Z 2 3 4 Neutron number, N Isotopes Updated Sep 2015 The transmission coefficient T represents the probability with which an approaching particle will penetrate to the other side of the barrier The reflection coefficient R represents the probability with which an approaching particle will be reflected by the barrier. 19. Laser and Semiconductor Absorption is the process whereby the energy of a photon is absorbed by an atom causing the atom to make a transition from the ground state to a higher energy level. Spontaneous emission is the process whereby an atom in an excited state makes a transition on its own accord to a lower energy level, emitting a photon. Stimulated emission is the process whereby an incident photon causes an atom in an excited state to return to its ground state with the emission of an additional photon. The emitted photon has the same energy, phase, frequency and travels in the same direction as the incident photon. The condition of having more atoms in an excited state than in the lower state is called population inversion. Metastable State is the state in which the electrons remain longer than usual so that the transition to the lower state occurs more likely by stimulated emission than by spontaneously emission. Forbidden band represents a region where no electron state is allowed. Valence band is the highest populated band that is full. Conduction band is the empty or partially filled band that is just above the valence band. The energy separation between the valence and conduction bands is known as the energy gap of the material. 20. Nuclear Physics Nucleon number (or mass number), A, is the sum of the number of protons and neutrons (i.e. the number of nucleons) in the nucleus. Proton number (or atomic number), Z, of an element is the number of protons in the nucleus. Therefore, it is also equal to the number of electrons in a neutral atom. It defines the chemical characteristics of an atom and the place of the element in the periodic table. Neutron number, N, of an element is the number of neutrons in the nucleus. Isotopes are atoms of the same element with the same number of protons but different number of neutrons. They are chemically the same, but have different masses. Page 10 H1/H2 Physics Definition Booklet 5 1u 6 Binding energy of a nucleus 7 Binding energy per nucleon 8 Nuclear fission 9 Nuclear fusion 10 Radioactivity 11 Spontaneous 12 Random 13 14 Rate of disintegration or Activity A Decay constant 15 Half-life t1/ 2 1 u is defined such that the mass of carbon-12 is exactly 12 u. The binding energy of a nucleus is defined as the energy released when the nucleus is formed from its separate protons and neutrons. The binding energy per nucleon of a nucleus is the binding energy of the nucleus divided by the nucleon number of the nucleus. Nuclear fission is the disintegration of a heavy nucleus into two lighter nuclei of comparable size. Nuclear fusion occurs when two light nuclei combine to form a single more massive nucleus, leading to the release of an enormous amount of energy. Radioactivity is the spontaneous and random emission of radiation from a radioactive source like uranium and radium. Spontaneous means that the process cannot be speeded up or slowed down by physical means such as changes in pressure or temperature and are unaffected by chemical combination. A process is random means that it is impossible to predict which nucleus and when any particular nucleus will disintegrate. The rate of disintegration or activity A of a radioactive substance is defined as the rate of disintegration of a nuclide. The decay constant may be defined as the fraction of the total number of nuclei present which decay per unit time Half-life t1/ 2 is defined as the average time taken for half the original number of radioactive nuclei to decay THE END Updated Sep 2015 Page 11