The quantum nature of charge

The quantum nature of dissipateINTRODUCTIONIn this test you will by tasteation determine the quantum nature of charge.Robert Millikan was awarded the Nobel Prize in physics in 1923 for the fossil embrocate neglectexperiment. A simplistic schematic of his mechanism is shown belowA spherical pass of inunct, fall through and through a viscous strong point like air, will quickly r individually a immutable swiftness. When it reaches this correspondence position, the viscous strong point is balanced byother eviscerates acting on the drop, such as gravitational attraction, buoyant agitates from the air, electrical force outs, etc. In this experiment an electrical force of varying magnitude is introduced tochange the motion of the falling drop by an ionization artificial lake. By measuring the swiftnessof the oil drop under different conditions the amount of charge on the drop may bedetermined. If the charge on the drop is an integer trinefold of the fundamental whole ofcharge (the electron), then sensation will be able to confirm the quantization of charge.1WHAT IS MIILIKAN OIL DROP EXPERIMENTOil-drop experiment was the first direct and compelling cadence of the electric charge of a private electron. It was performed originally in 1909 by the American physicist Robert A. Millikan. Using a perfume atomizer, he sprayed tiny drops of oil into a transp arnt chamber. At the top and bottom were admixture nursing homes hooked to a battery, making one absolute (red in animation) and the other negative (blue in animation). Since each droplet picked up a slight charge of static electricity as it travelled through the air, the speed of its motion could be controlled by altering the electric potential on the plates. When the space between the metal plates is ionized by light beam (e.g., X rays), electrons from the air attach themselves to oil droplets, causing them to acquire a negative charge. Millikan observed one drop after another, varying the voltage and noting the effect. After many repetitions he concluded that charge could only buy out certain fixed values. The smallest of these portions was none other than the charge of a single electron.3OUTLINE OF EXPERIMENTVery small oil drops nuclear number 18 produced by spraying air over oil (or premake latex spheres are utilise) into a drift chamber. The oil drops fall but reach terminal velocity very quickly beca persona of their massive area to mass ratio. The terminal velocity is measured using a microscope with a graduated scale and a stopwatch. If the drop is charged it can then be moved up (or forced down) using the electric landing theatre produced by metal plates to a higher place and below the experimental chamber. The upwards and downward terminal velocities are as well as measured.APPARATUSRobert Millikans apparatus incorporated a parallel pair of level metal plates. By applying a potential difference crosswise the plates, a kindred electric field was c reated in the space between them. A ring of insulating temporal was used to hold the plates apart. Four holes were cut into the ring, trinity for illumination by a bright light, and another to drop by the wayside think through a microscope.A fine mist of oil droplets was sprayed into a chamber above the plates. The oil was of a image usually used invacuum apparatus and was chosen because it had an extremely lowvapour pressure. Ordinary oil would evaporate absent under the heat of the light source causing the mass of the oil drop to change over the course of the experiment. Some oil drops became electrically charged through friction with the nozzle as they were sprayed. Alternatively, charging could be brought just about by including an ionising radiation source (such as anX-ray tube). The droplets entered the space between the plates and, because they were charged, could be made to rise and fall by changing the voltage across the plates.2PrincipalThe method is based upon the observation of the rate of motion of a small oil drop. Under free fall due to gravity and under the application of suitable electric field. By adjusting the electric field suitably, a given oil drop can be made to move up or down or even kept balanced in the field of view for sufficiently long metre and a series of observation can be made.ConstructionRobert Millikan apparatus in corporate a parallel pair of horizontal metal plates. By applying a potential difference across the pates a uniform electric was created in space between them a ring of insulating material was used to hold the plate apart four holes were cut into the ring, three for illumination by a bright light and another to allow viewing through a microscope.MethodInitially the oil drops are allowed to fall between the plates with the electric field turned off. Millikans basic conception was to measure the rate of fall of a single drop acted on by gravity and drag forces, apply stokes faithfulness to determine the drop radius and mass, then to measure its upward velocity in an argue electric field and hence determine the total charge on an individual drop. The field is then turned on and if it is large complete some of the drops will starts to rise. Oil droplets charged by an atomizer are allowed cardinal pass to small hole in the upper plate of parallel plate capacitor. If these droplets are illuminated from the side. They seem as magnificent stars against a dark background and the rate of fall of individual drops may be determined.If an electrostatic field of several thousand volts per meter is use to the capacitor plates the drop may moves slowly upwards typically at rates of hundreds of a centimeter per second. Because the rate of fall is comparable a single droplets with constant mass and radius may be followed for hours alternately rising and falling by simply turning the electric field on and off. The atomicity of charge is shown directly by observation that after a long series of measurements of constant upward velocities one observe noncontinuous charge or jump to a different upward velocity. This discontinuous charge is caused by the attraction of an ion to the charged droplet and consequent charge in droplet charge. Such charge become more frequent when a source of ionizing radiation is placed between the plates.The quantitative analysis of the Millikan experiments starts with Newtons second law applied to the oil drop . ?y-= may because the drag force is large a constant velocity of fall is quickly achieved and all measurement are made for the case ay = 0 or ?fy=0. If we assume that magnitude of the drag force is proportional to the speeds Cv.Cv-mg=0(field off)q1E -mg- Cv1=0 (field on)Eliminate c from this materialization gives q1 = mg/E (v+v1/v)when the droplet undergoes a discontinuous change in its upward speed from v1 to v2 its new charge q2 is given by q2 = mg/E (v+v2/v)Dividing q1 by q2q1/q2 = v+ v1/v+v2Electric ChargeElectric charge is an intrin sic characteristics of the fundamental particles making up those targets that is it is a property that comes automatically with those particles wherever they exist.The vast amount of charge in an everyday object is usually hidden because the object contains equal amounts of the twain kinds of charge positive and negative charge. With such an equality or balance of charge. The object is verbalise to be electrically neutral that is it contains no net charge. If the two type of charge are not in balance then on that point is a net charge.Charge object interact by exerting forces on one another charges with the same electrical sign repel each other and charges with opposite electrical attract each other.Stokes lawWhen a truehearted body moves through a mentally ill, the fluid is intercommunicate with the square(a) is dragged with it relative velocities are stabilized between the layers of the fluid near the solid so that viscous force start operating. The fluid exerts viscous fo rce on the solid oppose the motion the of the solid. The magnitude of the viscous force depends on the shape and size of the solid body. Its speed and the coefficient of the viscosity of the fluid. conceive of a spherical body of radius r moves at a speed v through fluid of viscosity ?. The viscous force f acting on the body depends on r, v and ?. presumptuous that the force is proportional to the viscous powers of these quantities, we can obtain the dependence through dimensional analysis.F= kra vb ?cWhere k is the dimensional constant. Dimensional constant k = 6 p, so that the equation becomesF = 6 p ? r vViscosityWhen a layer of a fluid slips or tends to slip on another layer in contact. The two layer exert tangential force on each other. The instruction such that relative motion between the layer is opposed. This property of a fluid to oppose relative motion between its layer is called viscosity.The force between the layers opposing relative motion between them are cognize as the forces of viscosity. thus, viscosity may be through of as the midland friction of a fluid in motion.If a solids surface is kept in contact with a fluid and is moved, force of viscosity appear between the solid surface and the fluid layer in contact. The flid in contact is dragged with solid and there is no relative slipping. When a gravy holder moves slowly on the water calm river. The water in contact wwitth the boat is dragged with it, whereas the water in contact with the bed of the river remains at the rest. Velocities of the different layer are coefficient. Let v be th velocity of the layer at a space from the bed and v+dv be the velocity at a distance z+dz.Thus the velocity differs by dv in going through a distance dz perpendicular to it. The quantity dv/dz is called the velocity gradient.The force of viscosity between two layers of a fluid is proportional to the velocity gradient in the armorial bearing perpendicular to the layers. Also the force is proportion to the area of the layer.Thus if F is the force exerted by a layer of area a on a layer in contact.F a A and F a dv/dzF = ? A dv/dzThe negative slide is included as the forceis fractional in the nature and opposes relative motion. The constant of proportionality ? is called the coefficient of viscosity.The S.I unit of viscosity is N-s/m2 and CGS unit is dyne sec/cm2+ is in common use and is called a poise.IMPORTANCE OF MILLIKAN METHODIt is a direct and a prices method for determination of electronic charge, yielding fairly accurate results.It proves that an electron carries a definite amount of charge and that the charge on an ion , positive or negative, is numerically equal to that on electron. It establishes that electricity is atomic in nature.Avogadros number- The familiarity of the charge on an electron helps to determine Avogadros number which is the number of whits contained in 1 gram molecule of an element. Gram atom and gram molecule of an element is its weight in gram numerica lly equal to its atomic weight or molecular weight respectively.CONCLUSIONREFERENCEhttp//facultyfiles.deanza.edu/gems/lunaeduardo/MillikanOilDropExperiment.pdfhttp//en.wikipedia.org/wiki/Oil-drop_experimentframe-uphttp//www.phy.ntnu.edu.tw/ntnujava/index.php?topic=357.0