1 Copyright belongs to the creator and owners. Sp Heat Capacity Q = m x c x ∆ t P t = m x c x ∆ t V I t = m x c x ∆ t Thermal Capacity = m x C Or = Q /∆ t Sp Latent Heat of Fusion Q = m X Lf or P t = m x Lf VIt = m X Lf Sp Latent Heat of Vaporisation Q = m x Lv or Pt = m x Lv V I t = m x Lv2 Copyright belongs to the creator and owners. PHYSICS NOTES REVISION. 1.General Physics 1.1 Length and time The Use of rules to measure length Submultiples of m 1cm=10 -2 m 1mm=10-3m 1um=10-6 m 1nm= 10-9 m 1km=1000 m How measurements are done: Stare directly above a ruler The use of measuring cylinder for volume 3 Copyright belongs to the creator and owners. Measuring Time: Instruments are the stop clock or stopwatch 4 Copyright belongs to the creator and owners. 1.2 Speed, velocity and acceleration Speed is the distance travelled in unit time. Speed-time graphs Start to Point A-Constant speed To find distance-find area under graph 5 Copyright belongs to the creator and owners. A to B-Uniform Acceleration-To find acceleration find its slope or gradient Driving away from A is Constant speed Then the body is at rest or not moving EQUATIONS OF MOTION When a (acceleration) is a constant: V=u+at S=(u+v)t/2 V2=u2+2as S=ut+1/2at2 6 Copyright belongs to the creator and owners. Acceleration of free fall= Any body falling under the effect of gravity alone will fall down at a constant and uniform acceleration is called acceleration of free fall. Value-10m/s2 What is Terminal Velocity? As a body falls from a particular height the air resistance opposing it increases as its speed increases, thus its accelerations falls. Gradually, the air resistance increases and eventually its value will match the value of the object’s weight or gravitational force. (Air resistance=Weight) The resultant force is zero so the body will travel at a constant velocity called terminal velocity. Value of Terminal Velocity differs. Depends on: weight, size and shape. Example 1: A small dense object. It will have a high terminal velocity as it will travel a longer distance before air resistance equals its weight. Example 2: A light object with larger area It has a low terminal velocity as it will travel a shorter distance before air resistance equals its weight. 7 Copyright belongs to the creator and owners. 1.3 Mass and weight The above beam balance balances when we add an object to one pan and more objects of known mass to the other pan. The balance actually compares the weights i.e. gravitational force on both the pans. Since the pans balance when both weights are equal, the masses should also be equal. So both mass and weight can be compared at the same time using the beam balance. What is mass? 1. It is the amount of matter in a substance. 2. Mass can be related to inertia, which is the resistance of the body or its inability to a change in velocity and motion. What is weight? 1. Weight is the gravitational force of the earth acting on a body. 2. “g” can be of two meanings. Firstly it is the gravitational field strength that is the force of gravity acting on unit mass of a body that is at rest (g=10 kg/N). Secondly it is called acceleration of free fall that is the uniform acceleration of a body falling under effect of gravity alone (g=10 m/s2). Both are denoted by the letter “g”. 8 Copyright belongs to the creator and owners. 1.4 Density Density is defined as the mass per unit volume. 1 g/cm3=1000 kg/m3 Determining density 1. Liquid a. Use a measuring cylinder to find the volume. b. Use a balance to get the mass. c. Use the formula to get the density. D=m/v 2. Regular solid a. Use a ruler to measure the necessary dimensions. Then use correct formula to get the volume. b. Use a balance to get mass. c. Use d=m/v to get the density 3. Irregular solid a. Use a balance to get the mass. b. Pour water to the measuring cylinder. Note initial volume, then add the solid inside and measure final volume. Find the difference between both, which is the volume of the solid. c. Or just use the displacement method. 9 Copyright belongs to the creator and owners. d. Use d=m/v to get the density. 1.5 Forces a)Effects of forces. • Forces acting on an object may cause a change in its size and shape. • A force can change the speed and direction of a moving object. • On force-extension graphs the stretching force is plotted in the y-axis while the total extension on the xaxxis • F=ma To interpret Force-extension graphs: • This shows a spring stretched beyond its elastic limit • Extension means difference between stretched and unstretched lengths • Hooke’s Law applies here. It states that stretching force and extension are both proportional only if the elastic limit is not exceeded. • In the proportional limit, removing the load, returns the spring to its origin length. • Beyond the elastic limit, at any point where we remove the load the spring will not return to its original length. 10 Copyright belongs to the creator and owners. Important points about Hooke’s Law • Extension and stretching force are both proportional to each other as long as the elastic limit is not exceeded. • For force-extension questions use the formula: F=kx • Where “k” is the force constant which can be found from two other readings F and x. X is the extension. Circular motion • Motion along a circular path is Circular Motion. • It is an accelerated motion because velocity keeps changing i.e. direction of speed changes. • This acceleration is called Centripetal acceleration. • The force needed to move an object in a circular path is called centripetal force. • Both centripetal acceleration and force act inwards and towards the centre of the circular path. • The force depends on mass of the mass and speed of the object, and the radius of the circular path. • Different type of forces causes centripetal force on the object: a. Frictional force gives the force between road and tire of the car. b. Tension of the string gives the centripetal force to move a stone in a circle If an object is released from the circular path it will move through the tangent. 11 Copyright belongs to the creator and owners. b) Turning Effect Moment of a force is a measure of its turning effect. It is measured by multiplying the force into the distance from a pivot or fulcrum. Examples include balancing pans in a beam balance. A beam is normally balanced when: 1. The weights on both pans are same. 2. Same mass. 3. Equal distance from the pivot. 4. So in the end the clockwise moment is equal to the clockwise moment. All equilibrium systems follow the Law of moments which says: When a system is in equilibrium the sum of clockwise moment equals the sum of anticlockwise moment about the same pivot. C)Conditions for equilibrium to occur: 1. Sum of the forces in one direction equals the sum of forces in the opposite direction. 2. Law of moments should apply. 12 Copyright belongs to the creator and owners. d) Centre of Mass Centre of mass of a plane lamina (Very important for Paper 6) 1. Make a hole in the lamina. 2. Hang it so it can swing freely. 3. Hang a plumb line in the hole and mark the line it passes through. 4. Repeat the procedure again to get another line 5. Their intersection point is the centre of mass. Stability of simple objects The position of the centre of mass affects its stability. If the centre of mass of an object is low, it is less likely that will tip over if we tilt it. To increase stability we should: 1. Increase surface area 2. Making the object shorter. How to know if an object will not tip over after tilting them? The vertical line through the centre of mashould be within the base. 13 Copyright belongs to the creator and owners. e) Scalars and vectors Difference Scalar Vector Has a magnitude. Has a magnitude. No direction. Direction present. Eg: distance, speed Eg: Force,weight,velocity Resultant of two vectors We should use the Parrallogram law: 1. Give a suitable scale to the forces such as 10 N= 1cm. So 50 N will be 5 cm and 100 N will be 10 cm. 14 Copyright belongs to the creator and owners. 2. Draw the two lines using the suitable scale given with the correct angle in between in graphical form (on paper). 3. Using a compass with 10 cm wide length, place the needle on the point A, and draw an arc. 4. Change the compass to 5 cm and make a 5cm wide length and place it on point B. Draw another arc. 5. Draw a line through point A to the intersection point of the arc. And draw another line through point B to the arc. So now we got a complete parellogram. 6. Draw the diagonal from the intersection point of the two arcs to the centre of the angle 50 degrees. 7. Measure the diagonal. Convert the length to Newton. That is the resultant force. 8. The direction will be stated as “making an angle X 0 with the force 100 N” 15 Copyright belongs to the creator and owners. 1.6 Energy, work and power a)Energy Kinetic Energy: An energy possessed by a body by the virtue of its motion. K.E= ½ mv2 Potential energy: An energy possessed by a body by the virtue of its position. P.E=mgh Different forms of energy a) Kinetic energy b) Gravitational potential energy (a form of potential energy) c) Chemical energy d) Elastic potential energy (a strained condition of potential energy) e) Nuclear energy f) Internal energy g) Electrical energy h) Light/heat energy i) Sound energy 16 Copyright belongs to the creator and owners. Conversion of energy Energy is not lost, but is converted from one form to another. Law of Conservation of energy Energy cannot be created nor destroyed. If it disappears, it converts to another form in which the total energy is still the same. Examples include: 17 Copyright belongs to the creator and owners. b) Energy Resources Renewable and Non renewable resources Renewable sources of energy are natural sources of energy which can be replaced and be used over and over again. Non-renewable sources of energy are natural sources which cannot be replaced and so once using it, there is no more use of it in the future. Obtaining useful forms of energy Fossil fuels-The fuels are burned in a thermal power station which in turns heat up the water in a boiler and turns it to steam. The steam drives the turbines which in turn drives the generator that generates electricity. Chemical energyHeat energyKinetic energyElectrical energy Water-They are used in Hydroelectric power stations. The water is stored behind dams, found in a large water reservoir. When the dam is opened so water moves which rotates a turbine which in turn drives a generator to create electricity. Potential energyKinetic energyElectrical energy Geothermal energy: If water is pumped into the hot rocks down the earth they can be heated to steam. This steam can drive a turbine and in turn allows a generator to generate electricity. Nuclear energy: The radioactive materials are decomposed by nuclear fission and so they release heat that boils water in a boiler. The steam drives the turbine and so electricity is generated by the generator. Nuclear energyHeat energyKinetic energyElectrical energy Solar energy: Solar cells convert light energy directly to electrical energy. Light energyElectrical energy 18 Copyright belongs to the creator and owners. Advantages and disadvantages A. Fossil fuels Advantages: 1. High energy density 2. Ready availability 3. Small size of energy transfer device Disadvantages: 1. Non Renewable 2. Causes air pollution by waste gases CO2 and SO2 B. Nuclear fuels Advantages: 1.Ready availability 2.High energy density 3.Does not cause air pollution with CO2 and SO2. Disadvantages: 1. Expensive to build and to decommission 2. Wastes from fuels are very dangerous and will stay reactive for many years. 3. High safety standards are needed. Renewable Resources advantages: They are renewable so it can be replaced. And they do not pollute the atmosphere. Disadvantages: Solar energy: 1. It is not always renewable 2. Low energy density 3. Expensive. 19 Copyright belongs to the creator and owners. Wind energy: 1. Wind is variable. 2. Spoils landscape and is very noisy. 3. It needs a large site to build turbine towers Wave energy: Difficult to build. Hydroelectric energy: 1. Expensive to build. 2. Not all sites are suitable 3. Can damage the environment Geothermal Energy: Difficult and expensive to dig deep inside the earth. Biofuel: Large sites are needed to grow enough plants. c)Work Work is done when a force moves an object through a particular distance. When a work is done energy is being converted to another form. Work= Force x Distance Unit=Joules. 20 Copyright belongs to the creator and owners. e) Power Power is defined as the rate at which work is done. P = E/t 1.7 Pressure Pressure is defined as the force acting on unit area. Lower the surface area, the higher is the pressure. The higher is the surface area, the lower is the pressure. P=F/A Mercury Barometer The mercury barometer is used to measure the atmospheric pressure. It consists of a glass tube placed upside down on a reservoir. The entire device is filled with mercury. It works on the principle that the weight of the mercury should balance the atmospheric pressure. If its weight is less than the air, then it will rise so that it can balance itself with the air pressure. If it is more than the air, its level will reduce. 21 Copyright belongs to the creator and owners. Liquid Pressure Liquid pressure depends on both density and depth inside the liquid. Denser the liquid like oil, has higher pressure than a water. Deep sea divers face more pressure inside the water than when at near the surface. So p=hpg Manometer A manometer is used to measure gas pressure. At first, the liquid levels will be the same, as atmospheric pressure is same. But when we add an extra supply of gas, the pressure will be different. Thus, the liquid will increase by a certain height. So the gas pressure will be= Atmospheric pressure + pressure due to the liquid column AB The pressure on the liquid column AB can be found by the formula hpg. 22 Copyright belongs to the creator and owners. 2.Thermal Physics 2.1 Simple kinetic molecular model of matter (a) States of matter Distinguishing features of solids, liquids, and gases. Property Solid Liquid Gas Packing Molecules are closely packed, arranged in regular pattern. Loosely packed, so they are slightly further apart than in solids. Molecules are much farther apart than in solids and liquids. Shape Definite shape No definite shape. Takes shape of container. No definite shape. Volume Definite volume Definite volume No definite volume Movement Vibrate in its place Moves rapidly past each other in short distances Moves quickly in all directions Compress Difficult. Possible but only at a limit. Easy to compress. Forces Attraction and repulsion both balance. Weak force of attraction and repulsion. No forces seen only when molecules are close. 23 Copyright belongs to the creator and owners. Temperature of a gas As a gas is heated, its molecules will gain energy and they will move faster in all directions. This means that their average speed and kinetic energy increases. So temperature can be said to be the measure of the average kinetic energy of molecules. Pressure of a gas Molecules are in constant and rapid motion in gas, and so they collide with the walls of the container many times a second. So they will exert a pressure by giving an average force on a unit area. Relations of temperature and pressure at constant volume When the volume of a gas is kept constant, and there is a temperature increase in the gas molecules; the gas particles will move around at a greater speed with a great average kinetic energy, so there will be more number of collisions on the wall of the container per second. And so the pressure increases. Formula= p/t= constant Brownian motion Random motion of smoke particles when viewed under a microscope in a zig-zag manner. This is because of random collisions between smoke particles and molecules of air. NOTE: Large and heavy particles can be moved by collisions with light and smaller particles like air. 24 Copyright belongs to the creator and owners. c) Evaporation Evaporation occurs when fast moving water molecules from the liquid surface escape to the atmosphere. The average kinetic energy of the liquid left behind falls. So the temperature of the liquid falls. Factors: Temperature: The rate of evaporation increases as the temperature increases. Surface area: The greater the surface area, the more the molecules evaporate. Humidity: The lower the humidity more is the rate of evaporation. d) Pressure changes Eg: Temperature of a gas in a container is kept constant, and then we half the volume of the gas by halving the volume of the container. The pressure will increase as there will be more molecules of gas per cm3 so the number of collisions per second is more on the walls of the container. Formula-pV=constant 2.2 Thermal properties (a) Thermal expansion of solids, liquids and gases Thermal Expansion: Most substances increase in size when heated. This is called thermal expansion. Remember= V/T=constant Effect of temperature on volume: When the pressure of a gas is kept constant and temperature increases. The gas molecules will gain more kinetic energy so they move around at a much greater average speed at longer distances. So the gas will increase in volume 25 Copyright belongs to the creator and owners. And so the volume of a gas is directly proportional to its temperature if the pressure is constant. (b) Measurement of temperature Properties of a thermometer: The liquid must expand Liquid must be easily seen Liquid must not stick on wall of glass Liquid must expand or contract rapidly and by large range of temperatures. Fixed points of a thermometer Fixed points on a thermometer are very important for finding the scale and unit of temperature. The two fixed points are: Lower fixed point: The temperature of melting ice which is taken as 0oC. Upper fixed point: The temperature of pure boiling water which is taken at 100oC. Then the ranges between these points are divided into equal divisions called degrees. This means that the thermometer has now been calibrated. Typical terms needed Sensitivity: How easily the liquids expand from small changes in temperature. Linear scale: Equal distance between each degree on the scale. Range: The set of degrees between two points on the scale of a thermometer. 26 Copyright belongs to the creator and owners. Thermocouple thermometers This mainly consists of a digital thermometer that has two wires joint together. The wire are of two different metals kept at different junctions: hot and cold. Electrons start to flow through it and so give a reading on the meter. This is used to measure large temperatures and rapidly changing ones. (c) Thermal capacity When the temperature of a body rises, this occurs when the internal energy increases. Internal energy means heat energy that is as the increase in both the kinetic and potential energy of molecules. Specific heat capacity/Thermal capacity: It is the heat energy needed to increase the temperature of 1 kg of an object by 1oC. d) Melting and boiling Melting is defined as the process in which a solid changes to a liquid by supplying it with heat energy. There is no temperature change during this process. Melting point is the fixed temperature in which the solid changes to a liquid. Boiling is the process in which liquid changes to a gas by supplying it with heat energy. There is no temperature change. Boiling point is the temperature in which a liquid changes itself to a gas. 27 Copyright belongs to the creator and owners. Latent heat of fusion and vaporization Specific Latent heat of fusion: Is defined as the amount of heat needed to change a unit mass of a solid to liquid without a temperature change. In terms of Kinetic theory: Latent heat of fusion is the energy needed by solid molecules to overcome the force of attraction between them and become a liquid. Their potential energy increases but not their kinetic energy so the temperature remains constant. Q-m x lf Specific latent heat of vaporization: Is defined as the amount of heat needed to change a unit mass of a liquid to gas without temperature change. In terms of Kinetic theory: The latent heat of vaporization is defined the energy needed by liquid molecules to overcome their force of attraction and become a gas. An extra energy is needed to push back air molecules from atmosphere as it becomes a gas. Their potential energy remains the same but not their kinetic energy. So temperature is constant. Q=m x lv Differences between boiling and evaporation Boiling-• Occurs only at a particular temperature called the boiling point • Occurs throughout the liquid • Bubbles are formed Evaporation-• Occurs at any temperature • Occurs only at the liquid surface • No bubbles formed. 28 Copyright belongs to the creator and owners. Conductors Experiments demonstrating good and bad conductors The Rod and Wax experiment Suppose each of the rods A,B,C, D,E,F are made of different metals. A match if fixed to each end of the rods using a little piece of wax. The other ends are heated. The result: The rod falls down from metal B. Because the end of B reaches the melting point of wax the match immediately falls off. So B is the best conductor of heat. What causes conduction? 1. In metals: The free electrons of the warmer end move faster and so “jostle” atoms in colder areas. So the energy is passed, the kinetic energy of the atoms in the colder region have their temperature increased. 2. In non metals: The atoms in the region being heated move faster and collide with the atoms in the colder region. So they vibrate much faster and so the temperature in increases. Remember: Heat always flows from hotter to colder regions. 29 Copyright belongs to the creator and owners. Convection Convection is a way of carrying heat in liquids and gases. Suppose we place potassium permanganate crystals in a beaker. And then we heat the beaker. The crystals will move upwards and downwards. The streams of warm moving fluid are called convection currents. The convection currents rise when the fluid expands and becomes less dense. And falls down when the colder fluid is more dense. The concept is same for all kinds of convection. Radiation: Flow of heat from one place to another by electromagnetic waves. Good and bad absorbers/Good and bad emitters: Dull black surfaces are good absorbers and good emitters. Shiny surfaces are bad absorbers and bad emitters. They are good reflectors. Vacuum flask: 1Stopper 2Case 3Double walled glass vessel: Reduces conduction 4Vacuum: Reduces conduction and convection 5Silvered surface: Reduces radiation 6Felt pad 7Additional insulation 30 Copyright belongs to the creator and owners. 3.Properties of waves, including light and sound Wave motion Wave is a way of carrying energy from one place to another. Components of a wave: Crest-Upper tip Trough-Lower tip Wavelength-Distance between two crests or troughs Frequency-Number of waves produced in a second Speed-Distance moved by a crest or any point in one second. Amplitude-Distance between undisturbed position with the crest or trough. Type of waves (a)Transverse wave: Moves perpendicular to the direction of wave Example: Light waves (b)Longitudinal wave: Moves parallel the direction of wave. Example: Sound wave 31 Copyright belongs to the creator and owners. Applying wave properties in a ripple tank Reflection Angle of incidence= Angle of reflection The angle is measured by measuring the angle between the direction of the wave and the normal. Or the wavefront with the barrier. Refraction Deep water Shallow water (Longer wavelength) (Shorter wavelength) (Higher speed) (Low speed) So the direction of the wave is bent towards the normal. Diffraction-The spreading of waves (Left)-Waves are passing through a wide gap. There will be less spreading of waves. (Right) Waves are passing through a narrow gap. There will be more spreading of waves. Remember for all waves : speed= frequenecy x wavelength 32 Copyright belongs to the creator and owners. 3.2 Light Reflection of light Optical images Virtual iamge: Image that cannot be formed on a screen. Properties: a.The distance of the image from the mirror is same as the object in front. b. Same size as object c. Laterally inverted Angle of incidence= Angle of reflection Refraction: Refraction= Bending of light rays From rarer (eg;air) to denser medium (eg: glass) the light rays bend towards the normal. Reason: Speed is changing i.e the speed is less in the denser medium. From denser (eg: glass) to rarer mediums (air) the light rays bend away from the normal. Reason: Speed is changing i.e. the speed is more in the rarer medium. The angle of incidence is equal to the angle of emergence! 33 Copyright belongs to the creator and owners. Critical angle: The angle of incidence in a denser medium where the angle of refraction is 90oC. Total internal reflection: When the angle of incidence in the denser medium is greater than the critical angle and the incident ray is in the denser medium, the light ray reflects back in the denser medium. Important points: Refractive index=speed of light in air/speed of light in medium Refractive index=sin i/sin r Total internal Reflection in fibre optics (Important for Paper 3) 1. They are denser mediums surrounded by rarer mediums. 2. The light rays striking each boundary of the fiber is more than the critical angle so total internal reflection occurs. All the light rays are reflected back in the denser medium. 3. There will be multiple reflections till it reaches the other end of the fiber. 4. There are many fibers together to increase flexibility. This “flexibility” gives a more detailed image of the object. 5. When the light rays reach the other end, they get reflected back again to the fiber when they strike the object! 34 Copyright belongs to the creator and owners. Thin Converging Lens Three rays are needed to find the image: A ) A ray parallel to the principal axis ( a horizontal access drawn through a lens) which is refracted through the principal focus. B )A ray pass immediately through the centre of the lens without bending at all! C) A ray passing through the principal focus and then bends. The ray will be parallel to the principal axis. Two or more of these two rays will meet each other. A line is drawn from the intersection point straight/perpendicular to the horizontal axis. Principal focus: When a light ray parallel to the principal axis passes through a lens and bends. It touches a point of the principal axis called the Principal focus. Focal length: The line between the focus and centre of a lens. Images formed by a convex lens Object position Image position Size Upright or inverted Real or virtual Beyond 2F Between F and 2F Small Inverted Real At 2F At 2F Same size Inverted Real Between F and 2F Beyond 2F Larger Inverted Real Between F and lens Behind the object Larger Upright Virtual At F At infinity Larger Inverted Real Light dispersion: Dispersion is the splitting of white light into different colors of the rainbow. Remember them as VIBGYOR going backwards! Violet bends the most because it has the highest refractive index. Red deviates least! 35 Copyright belongs to the creator and owners. Electromagnetic waves Features: 1. Travels at 3 x 108 m/s 2. Uses the wave equation speed= frequenecy x wavelength 3. Are tranverse waves (moves perpendicular to the direction of wave) 4. Able to travel in a vacuum What is needed to know: 1. As we go forwards the wavelength decreases 2. The frequency increases as we go forwards Nothing else is needed to know but the names of the rays and their typical uses and basics: Radiowaves -> Radio and television communication Microwaves -> Satellite and telephones (Living cells are endangered from such rays) Infrared -> Remote controllers X-rays -> Medicines for x-ray detection of bones (Dangerous so safety precautions are needed) Gamma rays ->Kills cancer cells And remember ultra-violet rays are the powerful rays causing skin cancer. 36 Copyright belongs to the creator and owners. Sound Sound is produced by objects such as a tuning fork by vibrating the air molecules. There will be a series of compressions (regions of high pressure when air molecules are close) and rarefactions (regions of low pressure when molecules are far apart. Important points a.Sound waves are longitudinal waves b.Humans are able to hear within the range of 10Hz to 10KHz. c.A medium is needed for sound to travel through d.Frequency means pitch and amplitude relates to the loudness! e. Sound travels fastest in solids then liquids, and finally gases. To find the speed of sound: speed=distance/time Echo: Echo is the reflection of sound waves. A sonar is used to transmit sound waves which detect an object and then gets reflected. This way the distance of a target can be found. Using this formula: Distance= speed x time 2 37 Copyright belongs to the creator and owners. 4.Electricity and magnetism Properties of a magnet: 1.It has a magnetic field around it 2.They run from the north pole to the south pole of the magnet 3.They attract magnetic materials to it by induced magnetism. (induced can be said as introduced or “created” magnetism”. It works by this: The magnet attracts the iron paper clips because it creates poles on each iron clip! Each iron clip will have a pole that attracts each other and the magnet. For example North and south to attract each other. To magnetise and demagnetize: Magnetising can be done by placing a steel bar in a solenoid (a coil with many turns) Demagnetising can be done by moving the bar magnet from a solenoid carrying an alternating current. Experiment: 38 Copyright belongs to the creator and owners. Iron is a temporary magnet. While steel is permanent. Ferrous meterials are magnetic materials such as iron and other metal alloys (cobalt, nickel). Non-ferrous materials are non magnetic materials such as aluminum and copper. Magnetic field around a wire A current carrying wire has a magnetic field around in the form of circles. To know the direction of the magnetic field use the right hand grip rule. Imagine you are holding the wire, the direction of your thumb is the direction of the current and the direction of your fingers are the same as the magnetic field. This is shown on the given diagram. Magnetic field around a solenoid A solenoid is a coil with many turns. The magnetic field lines are like those of a bar magnet. Hold your hands as shown. Your finger tips should be like the direction of the solenoid. Your fingers point to the north. So the left side is the North Pole and right is the south pole. The magnetic field runs now from north to south! 39 Copyright belongs to the creator and owners. Magnetic force on a current If you know the direction of the field lines and the current you can find the direction of force acting on the wire if placed between two magnets. You have to use Flemming’s left hand rule. First old your left hand this way: Remember it as FFC: Force, field current. Your fingers point to the direction of the force! DC Motor Main idea: Changes electrical energy to kinetic energy. How it works? When the coil is horizontal a force acts on the coil that makes it turn. The commutator rotates with it. The brushes are needed to keep contact with the coil. Then the coil is vertical, and no current passes through. It relies on its own momentum to turn, and so it makes contact again with the commutator. The current direction of the coil changes, so the direction of the forces change. This principle keeps turning the motor on and on…. 40 Copyright belongs to the creator and owners. Electromagnetic induction When a magnet is moved through a wire an e.m.f./voltage is generated in the wire because the field lines are cut. The current changes direction based on the movement of the magnet. Len’z law states that: The direction of the current flows in a direction that opposes the changing that produced it. Transformer It works by the principle of Mutual induction: where an AC current in the primary coil produces a changing magnetic field. The magnetic field gets cut and an e.m.f. is induced in the secondary coil. The more the number of turns in the secondary coil, the higher is the voltage. The less the number of turns, lower is the voltage. Three important points to know: Step up transformer; Secondary coil has more number of turns Step down transformer: Secondary coil has less number of turns. High voltage transmission is very important because less current is used, cheaper and thinner cables can be used. There will be less risk of the cables being heated from the high current. So less power is lost. 41 Copyright belongs to the creator and owners. AC Generator and the oscilloscope The coil is rotated many times in between two magnets. An AC current is produced as a result. It will look like this on the oscilloscope: 5.Atomic Physics The atom: <>At the center is the nucleus, containing the protons and neturons. <> Electrons revolve around it Detection of radioactivity 1. The radiation coming from the various objects around us are called background radiation. 2. A radioactive substances releases: gamma particles y, beta particles β and alpha particles. 3.A GM tube is used to measure the radiation from the radioactive source. It is a high priority to subtract the measured value with the value of background radiation 42 Copyright belongs to the creator and owners. Characteristics of the three kinds of emission Alpha Gamma y Beta Made up of 2 protons and 2 neutrons Electromagnetic wave An electron Strong ionizing effect Very low ionizing effect Weak Weak penetration Able to penetrate but stops when a metal is placed Strong penetration Radioactive decay Alpha decay: Radium-226 (atomic number 88) decays by alpha emission. The loss of the alpha particles leaves the nucleus with 2 protons and 2 neutrons less than before. It changes to element radon. 88Ra226 -> 86Rn22 + 2a4 Beta decay: Idionine-131 decays by beta emission. When this happens the neutron is that it changes to a proton, an electron and a antineutrino. Idione-131 changes to Xenon-131 53I131 -> 54Xe131 + -1 β 0 + 0v0 v=antineutrino 43 Copyright belongs to the creator and owners. Half life and activity Half life is the time taken for half of nuclei of a radioactive sample to decay. Activity is the number of disintegrations per second. There is an important relation between these two ideas. Activity is proportional to half-life. So as the radioactive material decays, the activity halves at the same time. This can be shown by this graph: Suppose the half life is every 1 day. We can say that half life is the time taken for the activity of a radioactive sample to be halved.