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Physics LibreTexts

Glossary

  • Page ID
    47005
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    Glossary Entries

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    Definition

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    classical physics physics that was developed from the Renaissance to the end of the 19th century          
    conversion factor

    a ratio expressing how many of one unit are equal to another unit

           
    derived units units that can be calculated using algebraic combinations of the fundamental units        
    English units system of measurement used in the United States; includes units of measurement such as feet, gallons, and pounds        
    fundamental units units that can only be expressed relative to the procedure used to measure them        
    kilogram the SI unit for mass, abbreviated (kg)        
    law a description, using concise language or a mathematical formula, a generalized pattern in nature that is supported by scientific evidence and repeated experiments        
    meter the SI unit for length, abbreviated (m)        
    metric system a system in which values can be calculated in factors of 10        
    model representation of something that is often too difficult (or impossible) to display directly        
    modern physics the study of relativity, quantum mechanics, or both        
    order of magnitude refers to the size of a quantity as it relates to a power of 10        
    physical quantity a characteristic or property of an object that can be measured or calculated from other measurements        
    physics the science concerned with describing the interactions of energy, matter, space, and time; it is especially interested in what fundamental mechanisms underlie every phenomenon        
    quantum mechanics

    the study of objects smaller than can be seen with a microscope

           
    relativity the study of objects moving at speeds greater than about 1% of the speed of light, or of objects being affected by a strong gravitational field        
    scientific method a method that typically begins with an observation and question that the scientist will research; next, the scientist typically performs some research about the topic and then devises a hypothesis; then, the scientist will test the hypothesis by performing an experiment; finally, the scientist analyzes the results of the experiment and draws a conclusion        
    second the SI unit for time, abbreviated (s)        
    SI units the international system of units that scientists in most countries have agreed to use; includes units such as meters, liters, and grams        
    theory an explanation for patterns in nature that is supported by scientific evidence and verified multiple times by various groups of researchers        
    units a standard used for expressing and comparing measurements        
    kinematics the study of motion without considering its causes        
    position the location of an object at a particular time        
    displacement the change in position of an object        
    distance the magnitude of displacement between two positions        
    distance traveled the total length of the path traveled between two positions        
    scalar a quantity that is described by magnitude, but not direction        
    vector a quantity that is described by both magnitude and direction        
    average speed distance traveled divided by time during which motion occurs        
    average velocity displacement divided by time over which displacement occurs        
    instantaneous velocity velocity at a specific instant, or the average velocity over an infinitesimal time interval        
    instantaneous speed magnitude of the instantaneous velocity        
    time change, or the interval over which change occurs        
    model simplified description that contains only those elements necessary to describe the physics of a physical situation        
    elapsed time the difference between the ending time and beginning time        
    acceleration the rate of change in velocity; the change in velocity over time        
    average acceleration the change in velocity divided by the time over which it changes        
    instantaneous acceleration acceleration at a specific point in time        
    free-fall the state of movement that results from gravitational force only        
    acceleration due to gravity acceleration an object undergoes while in free-fall        
    air resistance a frictional force that slows the motion of objects as they travel through the air; when solving basic physics problems, air resistance is assumed to be zero        
    motion displacement of an object as a function of time        
    projectile an object that travels through the air and experiences only acceleration due to gravity        
    projectile motion the motion of an object that is subject only to the acceleration of gravity        
    range the maximum horizontal distance that a projectile travels        
    trajectory the path of a projectile through the air        
    centripetal acceleration the acceleration of an object moving in a circle, directed toward the center        
    ultracentrifuge a centrifuge optimized for spinning a rotor at very high speeds        
    uniform circular motion an object moving in a circular path at constant speed        
    dynamics the study of how forces affect the motion of objects and systems        
    force a push or pull on an object with a specific magnitude and direction; can be represented by vectors; can be expressed as a multiple of a standard force        
    inertia the tendency of an object to remain at rest or remain in motion        
    law of inertia see Newton’s first law of motion        
    mass the quantity of matter in a substance; measured in kilograms        
    Newton’s first law of motion a body at rest remains at rest, or, if in motion, remains in motion at a constant velocity unless acted on by a net external force; also known as the law of inertia        
    free-fall a situation in which the only force acting on an object is the force due to gravity        
    external force a force acting on an object or system that originates outside of the object or system        
    net external force the vector sum of all external forces acting on an object or system; causes a mass to accelerate        
    free-body diagram a sketch showing all of the external forces acting on an object or system; the system is represented by a dot, and the forces are represented by vectors extending outward from the dot        
    Newton’s second law of motion The acceleration of a system is directly proportional to and in the same direction as the net external force acting on the system, and inversely proportional to its mass.        
    system the object or the group of objects under consideration        
    weight the force due to gravity; \(w=mg\) for objects on Earth        
    Newton’s third law of motion Whenever one body exerts a force on a second body, the first body experiences a force by the second body that is equal in magnitude and opposite in direction to the force that it itself exerts.        
    thrust a reaction force that pushes a body forward; rockets, airplanes, and cars are pushed forward by a thrust, a reaction force to propellants pushed backward        
    normal force the force that a surface applies to an object to support the weight of the object; acts perpendicular to the surface on which the object rests        
    apparent weight sensation of weight due to contact forces; usually the same as normal force        
    tension the pulling force that acts along a medium, especially a stretched flexible connector, such as a rope or cable; when a rope supports the weight of an object, the force on the object due to the rope is called a tension force        
    deformation displacement from equilibrium        
    spring constant a constant related to the rigidity of a system: the larger the spring constant, the more rigid the system; the spring constant is represented by k        
    restoring force force acting in opposition to the force caused by a deformation        
    friction a force that opposes relative motion or attempts at motion between systems in contact        
    kinetic friction a force that opposes the motion of two systems that are in contact and moving relative to one another        
    static friction a force that opposes the motion of two systems that are in contact and are not moving relative to one another        
    magnitude of static friction \(f_{\mathrm{s}} \leq \mu_{\mathrm{s}} N\), where \(\mu_{\mathrm{s}}\) is the coefficient of static friction and \(N\) is the magnitude of the normal force        
    magnitude of kinetic friction \(f_{\mathrm{k}}=\mu_{\mathrm{k}} N\), where \(\mu_{\mathrm{k}}\) is the coefficient of kinetic friction        
    gravitational constant, G a proportionality factor used in the equation for Newton’s universal law of gravitation; it is a universal constant—that is, it is thought to be the same everywhere in the universe        
    center of mass the point where the entire mass of an object can be thought to be concentrated        
    microgravity an environment in which the acceleration of a body due to non-gravitational forces is small compared with that produced by Earth on its surface        
    Newton’s universal law of gravitation every particle in the universe attracts every other particle with a force along a line joining them; the force is directly proportional to the product of their masses and inversely proportional to the square of the distance between them        
    centripetal force any net force causing uniform circular motion        
    ideal banking the sloping of a curve in a road, where the angle of the slope allows the vehicle to negotiate the curve at a certain speed without the aid of friction between the tires and the road; the net external force on the vehicle equals the horizontal centripetal force in the absence of friction        
    banked curve the curve in a road that is sloping in a manner that helps a vehicle negotiate the curve        
    energy the ability to do work        
    work the transfer of energy by a force that causes an object to be displaced; the product of the component of the force in the direction of the displacement and the magnitude of the displacement        
    joule SI unit of work and energy, equal to one newton-meter        
    net work work done by the net force, or vector sum of all the forces, acting on an object        
    work-energy theorem the result, based on Newton’s laws, that the net work done on an object is equal to its change in kinetic energy        
    kinetic energy the energy an object has by reason of its motion, equal to \(\frac{1}{2} m v^{2}\) for the translational (i.e., non-rotational) motion of an object of mass \(m\) moving at speed \(v\)        
    gravitational potential energy energy associated with height of objects on the Earth        
    conservative force a force that is a function of position alone, with the result that the work done by the force depends only on the starting and ending points of a motion and not on the particular path taken        
    potential energy energy due to position, shape, or configuration        
    conservation of mechanical energy the rule that the sum of the kinetic energies and potential energies remains constant if only conservative forces act on and within a system        
    mechanical energy the sum of kinetic energy and potential energy        
    law of conservation of energy the general law that total energy is constant in any process; energy may change in form or be transferred from one system to another, but the total remains the same        
    electrical energy the energy carried by a flow of charge        
    chemical energy the energy in a substance stored in the bonds between atoms and molecules that can be released in a chemical reaction        
    radiant energy the energy carried by electromagnetic waves        
    nuclear energy energy released by changes within atomic nuclei, such as the fusion of two light nuclei or the fission of a heavy nucleus        
    thermal energy the energy within an object due to the random motion of its atoms and molecules that accounts for the object's temperature        
    deformation displacement from equilibrium        
    elastic potential energy potential energy stored as a result of deformation of an elastic object, such as the stretching of a spring        
    power the rate at which work is done        
    watt (W) SI unit of power, with \(1 \mathrm{~W}=1 \mathrm{~J} / \mathrm{s}\)        
    horsepower an older non-SI unit of power, with \(1 \mathrm{~hp}=746 \mathrm{~W}\)        
    kilowatt-hour \((\mathrm{kW} \cdot \mathrm{h})\)unit used primarily for electrical energy provided by electric utility companies        
    linear momentum the product of mass and velocity        
    second law of motion physical law that states that the net external force equals the change in momentum of a system divided by the time over which it changes        
    change in momentum the difference between the final and initial momentum; the mass times the change in velocity        
    impulse the average net external force times the time it acts; equal to the change in momentum        
    conservation of momentum principle when the net external force is zero, the total momentum of the system is conserved or constant        
    elastic collision a collision that also conserves total kinetic energy, in addition to the total momentum        
    inelastic collision a collision in which total kinetic energy is not conserved        
    perfectly inelastic collision a collision in which the colliding objects stick together        
    oscillate moving back and forth regularly between two points        
    wave a disturbance that moves from its source and carries energy        
    period time it takes to complete one oscillation        
    periodic motion motion that repeats itself at regular time intervals        
    frequency number of events per unit of time        
    amplitude the maximum displacement from the equilibrium position of an object oscillating around the equilibrium position        
    simple harmonic motion the oscillatory motion in a system where the net force can be described by Hooke’s law        
    simple harmonic oscillator a device that implements Hooke’s law, such as a mass that is attached to a spring, with the other end of the spring being connected to a rigid support such as a wall        
    natural frequency the frequency at which a simple harmonic oscillator oscillates if it is set in motion without a driving force        
    damping force a frictional force which converts the mechanical energy of the oscillatory motion into thermal energy        
    resonance the phenomenon of driving a system with a frequency equal to the system's natural frequency        
    resonate a system being driven at its natural frequency        
    longitudinal wave a wave in which the disturbance is parallel to the direction of propagation        
    transverse wave a wave in which the disturbance is perpendicular to the direction of propagation        
    wave velocity the speed at which the disturbance moves; also called wave speed, propagation velocity, or propagation speed        
    wavelength the distance between adjacent identical parts of a wave        
    antinode the location of maximum amplitude in standing waves        
    beat frequency the frequency of the amplitude fluctuations of a wave        
    constructive interference when two waves arrive at the same point exactly in phase; that is, the crests of the two waves are precisely aligned, as are the troughs        
    destructive interference when two identical waves arrive at the same point exactly out of phase; that is, precisely aligned crest to trough        
    fundamental frequency the lowest frequency of a periodic waveform        
    nodes the points where the string does not move; more generally, nodes are where the wave disturbance is zero in a standing wave        
    overtones multiples of the fundamental frequency of a sound        
    superposition the phenomenon that occurs when two or more waves arrive at the same point        
    audible range frequencies between 20 Hz and 20,000 Hz        
    infrasound sound waves below audible frequencies (less than 20 Hz)        
    hearing the perception of sound        
    sound a disturbance of matter that is transmitted from its source outward        
    ultrasound sound waves above audible frequencies (greater than 20,000 Hz)        
    pitch the perception of the frequency of a sound        
    Doppler shift the change in wave frequency due to relative motion of source and observer        
    sonic boom a constructive interference of sound created by an object moving faster than sound        
    bow wake V-shaped disturbance created when the wave source moves faster than the wave propagation speed        
    angular acceleration the rate of change of angular velocity with time        
    angular velocity the rate of change of angular position with time        
    change in angular velocity the difference between final and initial values of angular velocity        
    radian a unit of angular measure defined by the arc length covered by the angle divided by the radius of the circle that the arc length is part of; one full circle is \(2 \pi\) radians.        
    tangential acceleration the acceleration in a direction tangent to the circle at the point of interest in circular motion        
    torque the turning effectiveness of a force        
    lever arm the perpendicular distance between the center of rotation and the point at which force is being applied        
    rotational inertia resistance to change of angular velocity; also called moment of inertia; for a point mass, \(I=m r^{2}\)        
    rotational kinetic energy the kinetic energy due to the rotation of an object. This is part of its total kinetic energy        
    angular momentum the product of moment of inertia and angular velocity        
    law of conservation of angular momentum angular momentum is conserved, i.e., the initial angular momentum is equal to the final angular momentum when no external torque is applied to the system        
    precession a type of motion that an object possessing angular momentum undergoes, as a torque perpendicular to the direction of angular momentum is applied, causing the direction of angular momentum to change; the circular wobbling motion traced by a slightly tilted circular top is an example        
    right-hand rule direction of angular velocity \(\omega\) and angular momentum L in which the thumb of your right hand points when you curl your fingers in the direction of the disk’s rotation        
    fluids liquids and gases; a fluid is a state of matter that yields to shearing forces        
    density the mass per unit volume of a substance or object        
    pressure the force per unit area perpendicular to the force, over which the force acts        
    pressure due to the weight of fluid pressure at a depth below a fluid surface due to its weight; given by \(P=\rho g h\)        
    Archimedes’ principle the buoyant force on an object equals the weight of the fluid it displaces        
    buoyant force the net upward force on any object in any fluid        
    specific gravity the ratio of the density of an object to a fluid (usually water)        
    flow rate abbreviated Q, it is the volume V that flows past a particular point during a time t, or Q = V/t        
    liter a unit of volume, equal to 10−3 m3        
    Bernoulli’s equation the equation resulting from applying conservation of energy to an incompressible frictionless fluid: P + 1/2pv2 + pgh = constant , through the fluid        
    Bernoulli’s principle Bernoulli’s equation applied at constant depth: P1 + 1/2pv12 = P2 + 1/2pv22        
    temperature the quantity measured by a thermometer        
    Celsius scale temperature scale in which the freezing point of water is 0ºC and the boiling point of water is 100ºC        
    degree Celsius unit on the Celsius temperature scale        
    Fahrenheit scale temperature scale in which the freezing point of water is 32ºF and the boiling point of water is 212ºF        
    degree Fahrenheit unit on the Fahrenheit temperature scale        
    Kelvin scale temperature scale in which 0 K is the lowest possible temperature, representing absolute zero        
    absolute zero the lowest possible temperature; the temperature at which all molecular motion ceases        
    thermal equilibrium the condition in which heat no longer flows between two objects that are in contact; the two objects have the same temperature        
    zeroth law of thermodynamics law that states that if two objects are in thermal equilibrium, and a third object is in thermal equilibrium with one of those objects, it is also in thermal equilibrium with the other object        
    ideal gas law the physical law that relates the pressure and volume of a gas to the number of gas molecules or number of moles of gas and the temperature of the gas        
    Boltzmann constant k , a physical constant that relates energy to temperature; k=1.38×10–23 J/K        
    heat the spontaneous transfer of energy due to a temperature difference        
    kilocalorie \(1 \text { kilocalorie }=1000 \text { calories }\)        
    mechanical equivalent of heat the work needed to produce the same effects as heat transfer        
    conduction heat transfer through stationary matter by physical contact        
    convection heat transfer by the macroscopic movement of fluid        
    radiation heat transfer which occurs when microwaves, infrared radiation, visible light, or other electromagnetic radiation is emitted or absorbed        
    specific heat the amount of heat necessary to change the temperature of 1.00 kg of a substance by 1.00 ºC        
    heat of sublimation the energy required to change a substance from the solid phase to the vapor phase        
    latent heat coefficient a physical constant equal to the amount of heat transferred for every 1 kg of a substance during the change in phase of the substance        
    sublimation the transition from the solid phase to the vapor phase        
    first law of thermodynamics states that the change in internal energy of a system equals the net heat transfer into the system minus the net work done by the system        
    internal energy the sum of the kinetic and potential energies of a system’s atoms and molecules        
    human metabolism conversion of food into heat transfer, work, and stored fat        
    heat engine a machine that uses heat transfer to do work        
    isobaric process constant-pressure process in which a gas does work        
    isochoric process a constant-volume process        
    isothermal process a constant-temperature process        
    adiabatic process a process in which no heat transfer takes place        
    reversible process a process in which both the heat engine system and the external environment theoretically can be returned to their original states        
    irreversible process a process which occurs in only one direction in nature; a process that cannot be exactly reversed        
    second law of thermodynamics heat transfer flows from a hotter to a cooler object, never the reverse, and some heat energy in any process is lost to available work in a cyclical process        
    cyclical process a process in which the path returns to its original state at the end of every cycle        
    Otto cycle a thermodynamic cycle, consisting of a pair of adiabatic processes and a pair of isochoric processes, that converts heat into work, e.g., the four-stroke engine cycle of intake, compression, ignition, and exhaust        
    Carnot cycle a cyclical process that uses only reversible processes, the adiabatic and isothermal processes        
    Carnot engine a heat engine that uses a Carnot cycle        
    Carnot efficiency the maximum theoretical efficiency for a heat engine        
    heat pump a machine that generates heat transfer from cold to hot        
    coefficient of performance for a heat pump, it is the ratio of heat transfer at the output (the hot reservoir) to the work supplied; for a refrigerator or air conditioner, it is the ratio of heat transfer from the cold reservoir to the work supplied        
    entropy a measurement of a system's disorder and its inability to do work in a system        
    change in entropy
    the ratio of heat transfer to temperature \(Q/T\)
           
    second law of thermodynamics stated in terms of entropy the total entropy of a system either increases or remains constant; it never decreases        
    macrostate an overall property of a system        
    microstate each sequence within a larger macrostate        
    statistical analysis using statistics to examine data, such as counting microstates and macrostates        
    static electricity a buildup of electric charge on the surface of an object        
    electromagnetic force one of the four fundamental forces of nature; the electromagnetic force consists of static electricity, moving electricity and magnetism        
    electric charge a physical property of an object that causes it to be attracted toward or repelled from another charged object; each charged object generates and is influenced by a force called an electromagnetic force        
    law of conservation of charge states that whenever a charge is created, an equal amount of charge with the opposite sign is created simultaneously        
    electron a particle orbiting the nucleus of an atom and carrying the smallest unit of negative charge        
    proton a particle in the nucleus of an atom and carrying a positive charge equal in magnitude and opposite in sign to the amount of negative charge carried by an electron        
    Coulomb’s law the mathematical equation calculating the electrostatic force vector between two charged particles        
    Coulomb force another term for the electrostatic force        
    electrostatic force the amount and direction of attraction or repulsion between two charged bodies        
    field a map of the amount and direction of a force acting on other objects, extending out into space        
    point charge A charged particle, designated \(Q\), generating an electric field        
    test charge A particle (designated \(q\)) with either a positive or negative charge set down within an electric field generated by a point charge        
    electric field a three-dimensional map of the electric force extended out into space from a point charge        
    electric field lines a series of lines drawn from a point charge representing the magnitude and direction of force exerted by that charge        
    vector a quantity with both magnitude and direction        
    vector addition mathematical combination of two or more vectors, including their magnitudes, directions, and positions        
    electric potential potential energy per unit charge        
    potential difference (or voltage) change in potential energy of a charge moved from one point to another, divided by the charge; units of potential difference are joules per coulomb, known as volt        
    electron volt the energy given to a fundamental charge accelerated through a potential difference of one volt        
    mechanical energy sum of the kinetic energy and potential energy of a system; this sum is a constant        
    conductor an object with properties that allow charges to move about freely within it        
    free charge an electrical charge (either positive or negative) which can move about separately from its base molecule        
    electrostatic equilibrium an electrostatically balanced state in which all free electrical charges have stopped moving about        
    polarized a state in which the positive and negative charges within an object have collected in separate locations        
    Faraday cage a metal shield which prevents electric charge from penetrating its surface        
    capacitor an arrangement of conductors designed to store charge using voltage difference        
    parallel-plate capacitor an example of capacitor using arrangement of two parallel conducting plates placed near each other        
    Van de Graaff generator a machine that produces a large amount of excess charge, used for experiments with high voltage        
    electrostatics the study of electricity in electrostatic equilibrium        
    photoconductor a substance that is an insulator until it is exposed to light, when it becomes a conductor        
    xerography a dry copying process based on electrostatics        
    grounded connected to the ground with a conductor, so that charge flows freely to and from the Earth to the grounded object        
    laser printer uses a laser to create a photoconductive image on a drum, which attracts dry ink particles that are then rolled onto a sheet of paper to print a high-quality copy of the image        
    ink-jet printer small ink droplets sprayed with an electric charge are controlled by electrostatic plates to create images on paper        
    electrostatic precipitators filters that apply charges to particles in the air, then attract those charges to a filter, removing them from the airstream        
    electric current the rate at which charge flows, \(I=\Delta Q / \Delta t\)        
    ampere (amp) the SI unit for current; 1 A = 1 C/s        
    Ohm’s law an empirical relation stating that the current I is proportional to the potential difference V. It is often written as I = V/R, where R is the resistance        
    resistance the electric property that impedes current; for ohmic materials, it is the ratio of voltage to current, R = V/I        
    ohm the unit of resistance, given by \(1 ~\Omega=1 \mathrm{~V} / \mathrm{A}\)        
    ohmic a type of a material for which Ohm's law is valid        
    simple circuit a circuit with a single voltage source and a single resistor        
    electric power the rate at which electrical energy is supplied by a source or dissipated by a device; it is the product of current times voltage        
    series a sequence of resistors or other components wired into a circuit one after the other        
    resistor a component that provides resistance to the current flowing through an electrical circuit        
    resistance causing a loss of electrical power in a circuit        
    Ohm’s law the relationship between current, voltage, and resistance within an electrical circuit: \(V=IR\)        
    voltage the electrical potential energy per unit charge; electric pressure created by a power source, such as a battery        
    voltage drop the loss of electrical power as a current travels through a resistor, wire or other component        
    current the flow of charge through an electric circuit past a given point of measurement        
    Joule’s law the relationship between potential electrical power, voltage, and resistance in an electrical circuit, given by: \(P_{e}=I V\)        
    parallel the wiring of resistors or other components in an electrical circuit such that each component receives an equal voltage from the power source; often pictured in a ladder-shaped diagram, with each component on a rung of the ladder        
    thermal hazard a hazard in which electric current causes undesired thermal effects        
    shock hazard when electric current passes through a person        
    short circuit also known as a “short,” a low-resistance path between terminals of a voltage source        
    microshock sensitive a condition in which a person’s skin resistance is bypassed, possibly by a medical procedure, rendering the person vulnerable to electrical shock at currents about 1/1000 the normally required level        
    north magnetic pole the end or the side of a magnet that is attracted toward Earth’s geographic north pole        
    south magnetic pole the end or the side of a magnet that is attracted toward Earth’s geographic south pole        
    ferromagnetic materials, such as iron, cobalt, nickel, and gadolinium, that exhibit strong magnetic effects        
    magnetized to be turned into a magnet; to be induced to be magnetic        
    domains regions within a material that behave like small bar magnets        
    Curie temperature the temperature above which a ferromagnetic material cannot be magnetized        
    electromagnetism the use of electrical currents to induce magnetism        
    electromagnet an object that is temporarily magnetic when an electrical current is passed through it        
    magnetic monopoles an isolated magnetic pole; a south pole without a north pole, or vice versa (no magnetic monopole has ever been observed)        
    magnetic field the representation of magnetic forces        
    B-field another term for magnetic field        
    magnetic field lines the pictorial representation of the strength and the direction of a magnetic field        
    direction of magnetic field lines the direction that the north end of a compass needle points        
    right hand rule 1 (RHR-1) the rule to determine the direction of the magnetic force on a positive moving charge: when the thumb of the right hand points in the direction of the charge’s velocity \(\mathbf{v}\) and the fingers point in the direction of the magnetic field \(\mathbf{B}\), then the force on the charge is perpendicular and away from the palm; the force on a negative charge is perpendicular and into the palm        
    tesla T, the SI unit of the magnetic field strength; \(1 \mathrm{~T}=\frac{1 \mathrm{~N}}{\mathrm{~A} \cdot \mathrm{m}}\)        
    magnetic force the force on a charge produced by its motion through a magnetic field        
    gauss G, the unit of the magnetic field strength; \(1 \mathrm{G}=10^{-4} \mathrm{~T}\)        
    motor loop of wire in a magnetic field; when current is passed through the loops, the magnetic field exerts force on the loops, which rotates a shaft; electrical energy is converted to mechanical work in the process        
    meter common application of magnetic force on a current-carrying loop that is very similar in construction to a motor; by design, the force is proportional to \(I\) and not \(\theta\), so the needle deflection is proportional to the current        
    right hand rule 2 (RHR-2) a rule to determine the direction of the magnetic field induced by a current-carrying wire: Point the thumb of the right hand in the direction of current, and the fingers curl in the direction of the magnetic field loops        
    magnetic field strength (magnitude) produced by a long straight current-carrying wire defined as \(B=\frac{\mu_{0} I}{2 \pi r}\), where \(I\) is the current, \(r\) is the shortest distance to the wire, and \(\mu_{0}\) is the permeability of free space        
    permeability of free space the measure of the ability of a material, in this case free space, to support a magnetic field; the constant \(\mu_{0}=4 \pi \times 10^{-7} \mathrm{~T} \cdot \mathrm{m} / \mathrm{A}\)        
    magnetic field strength at the center of a circular loop defined as \(B=\frac{\mu_{0} I}{2 R}\) where \(R\) is the radius of the loop        
    solenoid a thin wire wound into a coil that produces a magnetic field when an electric current is passed through it        
    magnetic field strength inside a solenoid defined as \(B=\mu_{0} n I\) where \(n\) is the number of loops per unit length of the solenoid (\(n=N / l\), with \(N\) being the number of loops and \(l\) the length)        
    Biot-Savart law a physical law that describes the magnetic field generated by an electric current in terms of a specific equation        
    Ampere’s law the physical law that states that the magnetic field around an electric current is proportional to the current; each segment of current produces a magnetic field like that of a long straight wire, and the total field of any shape current is the vector sum of the fields due to each segment        
    Maxwell’s equations a set of four equations that describe electromagnetic phenomena        
    induced current the current created by a changing magnetic field through voltage induced over a conducting path        
    magnetic flux the amount of magnetic field going through a particular area, calculated with \(\Phi=B_{\perp} A\), where \(B_{\perp}\) is the magnetic field strength perpendicular to the area \(A\)        
    electromagnetic induction the process of inducing a voltage with a change in magnetic flux        
    Faraday’s law of induction the means of calculating the voltage in a coil due to changing magnetic flux, given by \(V=-N \frac{\Delta \Phi}{\Delta t}\)        
    Lenz’s law the minus sign in Faraday’s law, signifying that the voltage induced in a coil opposes the change in magnetic flux        
    transformer a device that transforms voltages from one value to another using induction        
    transformer equation the equation showing that the ratio of the secondary to primary voltages in a transformer equals the ratio of the number of loops in their coils; \(\frac{V_{\mathrm{s}}}{V_{\mathrm{p}}}=\frac{N_{\mathrm{s}}}{N_{\mathrm{p}}}\)        
    step-up transformer a transformer that increases voltage        
    step-down transformer a transformer that decreases voltage        
    direct current (DC) the flow of electric charge in only one direction        
    alternating current (AC) the flow of electric charge that periodically reverses direction        
    AC voltage voltage that fluctuates sinusoidally with time.        
    AC current current that fluctuates sinusoidally with time.        
    rms a type of average taken for a time-varying quantity by squaring it, taking the mean of the square, and then taking the square-root of the mean.        
    electromagnetic waves radiation in the form of waves of electric and magnetic energy        
    Maxwell’s equations a set of four equations that comprise a complete, overarching theory of electromagnetism        
    hertz an SI unit denoting the frequency of an electromagnetic wave, in cycles per second        
    speed of light in a vacuum, such as space, the speed of light is a constant 3 x 108 m/s        
    electric field lines a pattern of imaginary lines that extend between an electric source and charged objects in the surrounding area, with arrows pointed away from positively charged objects and toward negatively charged objects. The more lines in the pattern, the stronger the electric field in that region        
    magnetic field lines a pattern of continuous, imaginary lines that emerge from and enter into opposite magnetic poles. The density of the lines indicates the magnitude of the magnetic field        
    electric field a vector quantity (E); the lines of electric force per unit charge, moving radially outward from a positive charge and in toward a negative charge        
    electric field strength the magnitude of the electric field, denoted E-field        
    magnetic field a vector quantity (B); can be used to determine the magnetic force on a moving charged particle        
    magnetic field strength the magnitude of the magnetic field, denoted B-field        
    transverse wave a wave, such as an electromagnetic wave, which oscillates perpendicular to the axis along the line of travel        
    standing wave a wave that oscillates in place, with nodes where no motion happens        
    wavelength the distance from one peak to the next in a wave        
    amplitude the height, or magnitude, of an electromagnetic wave        
    frequency the number of complete wave cycles (up-down-up) passing a given point within one second (cycles/second)        
    resonant a system that displays enhanced oscillation when subjected to a periodic disturbance of the same frequency as its natural frequency        
    oscillate to fluctuate back and forth in a steady beat        
    radiation pressure pressure exerted by an electromagnetic wave on a surface        
    solar sail a spacecraft that utilizes radiation pressure due to solar radiation in its propulsion        
    electromagnetic spectrum the full range of wavelengths or frequencies of electromagnetic radiation        
    radio waves electromagnetic waves with wavelengths in the range from 1 mm to 100 km; they are produced by currents in wires and circuits and by astronomical phenomena        
    microwaves electromagnetic waves with wavelengths in the range from 1 mm to 1 m; they can be produced by currents in macroscopic circuits and devices        
    infrared radiation (IR) a region of the electromagnetic spectrum with a frequency range that extends from just below the red region of the visible light spectrum up to the microwave region, or from 0.74 μm to 300 μm        
    ultraviolet radiation (UV) electromagnetic radiation in the range extending upward in frequency from violet light and overlapping with the lowest X-ray frequencies, with wavelengths from 400 nm down to about 10 nm        
    visible light the narrow segment of the electromagnetic spectrum to which the normal human eye responds        
    X-ray invisible, penetrating form of very high frequency electromagnetic radiation, overlapping both the ultraviolet range and the \(\gamma\)-ray range        
    gamma ray (\(\gamma\) ray); extremely high frequency electromagnetic radiation emitted by the nucleus of an atom, either from natural nuclear decay or induced nuclear processes in nuclear reactors and weapons. The lower end of the γ-ray frequency range overlaps the upper end of the X-ray range, but \(\gamma\) rays can have the highest frequency of any electromagnetic radiation        
    thermal agitation the thermal motion of atoms and molecules in any object at a temperature above absolute zero, which causes them to emit and absorb radiation        
    radar a common application of microwaves. Radar can determine the distance to objects as diverse as clouds and aircraft, as well as determine the speed of a car or the intensity of a rainstorm        
    amplitude modulation (AM) a method for placing information on electromagnetic waves by modulating the amplitude of a carrier wave with an audio signal, resulting in a wave with constant frequency but varying amplitude        
    extremely low frequency (ELF) electromagnetic radiation with wavelengths usually in the range of 0 to 300 Hz, but also about 1kHz        
    carrier wave an electromagnetic wave that carries a signal by modulation of its amplitude or frequency        
    frequency modulation (FM) a method of placing information on electromagnetic waves by modulating the frequency of a carrier wave with an audio signal, producing a wave of constant amplitude but varying frequency        
    TV video and audio signals broadcast on electromagnetic waves        
    very high frequency (VHF) TV channels utilizing frequencies in the two ranges of 54 to 88 MHz and 174 to 222 MHz        
    ultra-high frequency (UHF) TV channels in an even higher frequency range than VHF, of 470 to 1000 MHz        
    mirror smooth surface that reflects light at specific angles, forming an image of the person or object in front of it        
    law of reflection angle of reflection equals the angle of incidence        
    refraction changing of a light ray’s direction when it passes through variations in matter        
    index of refraction for a material, the ratio of the speed of light in vacuum to that in the material        
    dispersion spreading of white light into its full spectrum of wavelengths        
    rainbow dispersion of sunlight into a continuous distribution of colors according to wavelength, produced by the refraction and reflection of sunlight by water droplets in the sky        
    converging lens a convex lens in which light rays that enter it parallel to its axis converge at a single point on the opposite side        
    diverging lens a concave lens in which light rays that enter it parallel to its axis bend away (diverge) from its axis        
    focal point for a converging lens or mirror, the point at which converging light rays cross; for a diverging lens or mirror, the point from which diverging light rays appear to originate        
    focal length distance from the center of a lens or curved mirror to its focal point        
    magnification ratio of image height to object height        
    power inverse of focal length        
    real image image that can be projected        
    virtual image image that cannot be projected        
    converging mirror a concave mirror in which light rays that strike it parallel to its axis converge at one or more points along the axis        
    diverging mirror a convex mirror in which light rays that strike it parallel to its axis bend away (diverge) from its axis        
    law of reflection angle of reflection equals the angle of incidence        
    axis of a polarizing filter the direction along which the filter passes the electric field of an EM wave        
    birefringent crystals that split an unpolarized beam of light into two beams        
    direction of polarization the direction parallel to the electric field for EM waves        
    horizontally polarized the oscillations are in a horizontal plane        
    optically active substances that rotate the plane of polarization of light passing through them        
    polarization the attribute that wave oscillations have a definite direction relative to the direction of propagation of the wave        
    polarized waves having the electric and magnetic field oscillations in a definite direction        
    unpolarized waves that are randomly polarized        
    vertically polarized the oscillations are in a vertical plane        
    quantized the fact that certain physical entities exist only with particular discrete values and not every conceivable value        
    correspondence principle in the classical limit (large, slow-moving objects), quantum mechanics becomes the same as classical physics        
    quantum mechanics the branch of physics that deals with small objects and with the quantization of various entities, especially energy        
    blackbody an ideal radiator, which emits thermal radiation ideally and absorbs all radiation incident on it at all wavelengths        
    blackbody radiation a thermal radiation, usually modeled for a blackbod        
    ultraviolet catastrophe failure of classical theory to correctly describe blackbody radiation at short wavelengths        
    Planck’s constant \(h=6.626 \times 10^{-34} \mathrm{~J} \cdot \mathrm{s} \)        
    Planck law first successful theoretical description of thermal radiation which used quantization of energy hypothesis        
    photoelectric effect
    the phenomenon whereby some materials eject electrons when light is shined on them
           
    photon a quantum, or particle, of electromagnetic radiation        
    photon energy the amount of energy a photon has; \(E=h f\)        
    work function the amount of energy necessary to eject an electron from a material; the binding energy in photoelectric effect        
    de Broglie wavelength the wavelength possessed by a particle of matter, calculated by \(\lambda=h / p\)        
    Heisenberg’s uncertainty principle a fundamental limit to the precision with which pairs of quantities (momentum and position, and energy and time) can be measured        
    uncertainty in momentum lack of precision or lack of knowledge of precise results in measurements of momentum        
    uncertainty in position lack of precision or lack of knowledge of precise results in measurements of position        
    probability wave the description of wave characteristic of matter, as revealed by probability distribution experimentally        
    probability distribution the overall spatial distribution of probabilities to find a particle at a given location        
    cathode-ray tube a vacuum tube containing a source of electrons and a screen to view images        
    planetary model of the atom the most familiar model or illustration of the structure of the atom        
    hydrogen spectrum wavelengths the wavelengths of visible light from hydrogen; can be calculated by \(\frac{1}{\lambda}=R\left(\frac{1}{n_{\mathrm{f}}^{2}}-\frac{1}{n_{\mathrm{i}}^{2}}\right)\)        
    Rydberg constant a physical constant related to the atomic spectra with an established value of \(1.097 \times 10^{7} \mathrm{~m}^{-1}\)        
    double-slit interference an experiment in which waves or particles from a single source impinge upon two slits so that the resulting interference pattern may be observed        
    energy-level diagram a diagram used to analyze the energy level of electrons in the orbits of an atom        
    Bohr radius the mean radius of the orbit of an electron around the nucleus of a hydrogen atom in its ground state        
    hydrogen-like atom any atom with only a single electron        
    energies of hydrogen-like atoms Bohr formula for energies of electron states in hydrogen-like atoms: \(E_{n}=-\frac{Z^{2}}{n^{2}} E_{0}(n=1,2,3, \ldots)\)        
    relativity the study of how different observers measure the same event        
    special relativity the theory that, in an inertial frame of reference, the motion of an object is relative to the frame from which it is viewed or measured        
    Michelson-Morley experimentinertial frame of reference a reference frame in which a body at rest remains at rest and a body in motion moves at a constant speed in a straight line unless acted on by an outside force        
    first postulate of special relativity the idea that the laws of physics are the same and can be stated in their simplest form in all inertial frames of reference        
    second postulate of special relativity the idea that the speed of light \(c\) is a constant, independent of the source        
    Michelson-Morley experiment an investigation performed in 1887 that proved that the speed of light in a vacuum is the same in all frames of reference from which it is viewed        
    time dilation the phenomenon of time passing slower to an observer who is moving relative to another observer        
    twin paradox \(\Delta t_{0} \). the time measured by an observer at rest relative to the event being observed: \(\Delta t=\frac{\Delta t_{0}}{\sqrt{1-\frac{v^{2}}{c^{2}}}}=\gamma \Delta t_{0} \), where \( \gamma=\frac{1}{\sqrt{1-\frac{v^{2}}{c^{2}}}}\)        
    twin paradox this asks why a twin traveling at a relativistic speed away and then back towards the Earth ages less than the Earth-bound twin. The premise to the paradox is faulty because the traveling twin is accelerating, and special relativity does not apply to accelerating frames of reference        
    proper length \( L_{0}\);  the distance between two points measured by an observer who is at rest relative to both of the points; Earth-bound observers measure proper length when measuring the distance between two points that are stationary relative to the Earth        
    length contractionrelativistic Doppler effects \(L\), the shortening of the measured length of an object moving relative to the observer’s frame: \(L=L_{0} \sqrt{1-\frac{v^{2}}{c^{2}}}=\frac{L_{0}}{\gamma} \)        
    classical velocity addition the method of adding velocities when \(v<<c\); velocities add like regular numbers in one-dimensional motion: \(u = v+u^{\prime} \), where \(v\) 
    is the velocity between two observers, \(u\)  is the velocity of an object relative to one observer, and \(u^{\prime}\) is the velocity relative to the other observer
           
    relativistic velocity addition the method of adding velocities of an object moving at a relativistic speed: \( \), where \(v\) is the relative velocity between two observers, \(u\) is the velocity of an object relative to one observer, and \(u^{\prime}\) is the velocity relative to the other observer        
    relativistic Doppler effects a change in wavelength of radiation that is moving relative to the observer; the wavelength of the radiation is longer (called a red shift) than that emitted by the source when the source moves away from the observer and shorter (called a blue shift) when the source moves toward the observer; the shifted wavelength is described by the equation
    \[ \lambda_{\mathrm{obs}}=\lambda_{s} \sqrt{\frac{1+\frac{u}{c}}{1-\frac{u}{c}}} \nonumber\]
    where \(\lambda_{\mathrm{obs}}\)is the observed wavelength, \(\lambda_{s}\) is the source wavelength, and \(u\) is the velocity of the source to the observer
           
    relativistic momentum \(p\), the momentum of an object moving at relativistic velocity; \(p=\gamma m u\), where \(m\) is the rest mass of the object, \(u\) is its velocity relative to an observer, and the relativistic factor \(\gamma=\frac{1}{\sqrt{1-\frac{u^{2}}{c^{2}}}}\)        
    rest mass the mass of an object as measured by a person at rest relative to the object        
    total energy defined as \(E = \gamma mc^2\), where \(\gamma = \frac{1}{\sqrt{1 - \frac{v^2}{c^2}}}\)        
    rest energy the energy stored in an object at rest: \(E_0 = mc^2\)        
    relativistic kinetic energy the kinetic energy of an object moving at relativistic speeds: \(KE_{rel} = (\gamma -1) mc^2\), where \(\gamma = \frac{1}{\sqrt{1 - \frac{v^2}{c^2}}}\)        
    alpha ray a component of nuclear radioactivity; consists of two protons and two neutrons        
    beta ray a component of nuclear radioactivity; consists of an electron        
    gamma rayradioactivity a component of nuclear radioactivity; consists of a high-energy photon        
    ionizing radiation a radiation that produces ionization; examples include alpha rays, beta rays, gamma rays, and X-rays        
    nuclear radiation radiation that originate in the nuclei of atoms; alpha, beta, and gamma rays are among most common forms; also see "radioactivity"        
    radioactivity the emission of rays from the nuclei of atoms        
    radioactive a substance or object that emits nuclear radiation        
    range of radiation the distance that the radiation can travel through a material        
    Geiger tube a very common radiation detector that usually gives an audio output        
    photomultiplier a device that converts light into electrical signals        
    radiation detector a device that is used to detect and track the radiation from a radioactive reaction        
    scintillators a radiation detection method that records light produced when radiation interacts with materials        
    solid-state radiation detectors semiconductors fabricated to directly convert incident radiation into electrical current        
    atomic mass the total mass of the protons, neutrons, and electrons in a single atom        
    atomic number number of protons in a nucleus        
    chart of the nuclides a table comprising stable and unstable nuclei        
    isotopes nuclei having the same \(Z\) and different \(N\)s        
    magic numbers a number that indicates a shell structure for the nucleus in which closed shells are more stable        
    mass number number of nucleons in a nucleus        
    neutron a neutral particle that is found in a nucleus        
    nucleons the particles found inside nuclei        
    nucleus a region consisting of protons and neutrons at the center of an atom        
    nuclide a type of atom whose nucleus has specific numbers of protons and neutrons        
    protons the positively charged nucleons found in a nucleus        
    radius of a nucleus the radius of a nucleus is \(r=r_{0} A^{1 / 3}\)        
    parent the original state of nucleus before decay        
    daughter the nucleus obtained when parent nucleus decays and produces another nucleus following the rules and the conservation laws        
    positron the particle that results from positive beta decay; also known as an antielectron        
    decay the process by which an atomic nucleus of an unstable atom loses mass and energy by emitting ionizing particles        
    alpha decay type of radioactive decay in which an atomic nucleus emits an alpha particle        
    beta decay type of radioactive decay in which an atomic nucleus emits a beta particle        
    gamma decay type of radioactive decay in which an atomic nucleus emits a gamma particle        
    decay equation the equation to find out how much of a radioactive material is left after a given period of time        
    nuclear reaction energy the energy created in a nuclear reaction        
    neutrino an electrically neutral, weakly interacting elementary subatomic particle        
    electron’s antineutrino antiparticle of electron’s neutrino        
    positron decay type of beta decay in which a proton is converted to a neutron, releasing a positron and a neutrino        
    antielectron decay series        
    decay series process whereby subsequent nuclides decay until a stable nuclide is produced        
    electron’s neutrino a subatomic elementary particle which has no net electric charge        
    antimatter composed of antiparticles        
    electron capture the process in which a proton-rich nuclide absorbs an inner atomic electron and simultaneously emits a neutrino        
    electron capture equation equation representing the electron capture        
    becquerel half-life        
    half-life the time in which there is a 50% chance that a nucleus will decay        
    radioactive dating an application of radioactive decay in which the age of a material is determined by the amount of radioactivity of a particular type that occurs        
    decay constant quantity that is inversely proportional to the half-life and that is used in equation for number of nuclei as a function of time        
    carbon-14 dating a radioactive dating technique based on the radioactivity of carbon-14        
    activity the rate of decay for radioactive nuclides        
    rate of decay the number of radioactive events per unit time        
    curie the activity of 1g of \({ }^{226} \mathrm{Ra}\), equal to \(3.70 \times 10^{10} \mathrm{~Bq}\)        
    Anger camera a common medical imaging device that uses a scintillator connected to a series of photomultipliers        
    gamma camera another name for an Anger camera        
    positron emission tomography (PET) tomography technique that uses \(\beta^{+}\) emitters and detects the two annihilation \(\gamma\) rays, aiding in source localization        
    radiopharmaceutical compound used for medical imaging        
    single-photon-emission computed tomography (SPECT) tomography performed with \(\gamma\)-emitting radiopharmaceuticals        
    tagged process of attaching a radioactive substance to a chemical compound        
    gray (Gy) the SI unit for radiation dose which is defined to be \(1 \mathrm{~Gy}=1 \mathrm{~J} / \mathrm{kg}=100 \mathrm{~rad}\)        
    linear hypothesis assumption that risk is directly proportional to risk from high doses        
    rad the ionizing energy deposited per kilogram of tissue        
    sievert the SI equivalent of the rem        
    relative biological effectiveness (RBE) a number that expresses the relative amount of damage that a fixed amount of ionizing radiation of a given type can inflict on biological tissues        
    quality factor same as relative biological effectiveness        
    roentgen equivalent man (rem) a dose unit more closely related to effects in biological tissue        
    low dose a dose less than 100 mSv (10 rem)        
    moderate dose a dose from 0.1 Sv to 1 Sv (10 to 100 rem)        
    high dose a dose greater than 1 Sv (100 rem)        
    hormesis a term used to describe generally favorable biological responses to low exposures of toxins or radiation        
    shielding a technique to limit radiation exposure        
    break-even when fusion power produced equals the heating power input        
    ignition when a fusion reaction produces enough energy to be self-sustaining after external energy input is cut off        
    inertial confinement a technique that aims multiple lasers at tiny fuel pellets evaporating and crushing them to high density        
    magnetic confinement a technique in which charged particles are trapped in a small region because of difficulty in crossing magnetic field lines        
    nuclear fusion a reaction in which two nuclei are combined, or fused, to form a larger nucleus        
    proton-proton cycle the combined reactions \({ }^{1} \mathrm{H}+{ }^{1} \mathrm{H} \rightarrow{ }^{2} \mathrm{H}+e^{+}+v_{\mathrm{e}}\), \({ }^{1} \mathrm{H}+{ }^{2} \mathrm{H} \rightarrow{ }^{3} \mathrm{He}+\gamma\), and \({ }^{3} \mathrm{He}+{ }^{3} \mathrm{He} \rightarrow{ }^{4} \mathrm{He}+{ }^{1} \mathrm{H}+{ }^{1} \mathrm{H}\)        
    breeder reactors reactors that are designed specifically to make plutonium        
    breeding reaction process that produces 239Pu        
    criticality condition in which a chain reaction easily becomes self-sustaining        
    critical mass minimum amount necessary for self-sustained fission of a given nuclide        
    fission fragments a daughter nuclei        
    liquid drop model a model of nucleus (only to understand some of its features) in which nucleons in a nucleus act like atoms in a drop        
    nuclear fission reaction in which a nucleus splits        
    neutron-induced fission fission that is initiated after the absorption of neutron        
    supercriticality an exponential increase in fissions        
    Feynman diagram a graph of time versus position that describes the exchange of virtual particles between subatomic particles        
    gluons exchange particles, analogous to the exchange of photons that gives rise to the electromagnetic force between two charged particles        
    quantum electrodynamics the theory of electromagnetism on the particle scale        
    boson particle with zero or an integer value of intrinsic spin        
    baryons hadrons that always decay to another baryon        
    baryon number a conserved physical quantity that is zero for mesons and leptons and \(\pm 1\) for baryons and antibaryons, respectively        
    conservation of total baryon number a general rule based on the observation that the total number of nucleons was always conserved in nuclear reactions and decays        
    conservation of total muon family number a general rule stating that the total muon family number stays the same through an interaction        
    electron family number the number \(\pm 1\) that is assigned to all members of the electron family, or the number 0 that is assigned to all particles not in the electron family        
    fermion particle with a half-integer value of intrinsic spin        
    gauge boson particle that carries one of the four forces        
    hadrons particles that feel the strong nuclear force        
    leptons particles that do not feel the strong nuclear force        
    meson hadrons that can decay to leptons and leave no hadrons        
    muon family number the number \(\pm 1\) that is assigned to all members of the muon family, or the number 0 that is assigned to all particles not in the muon family        
    strangeness a physical quantity assigned to various particles based on decay systematics        
    tau family number the number \(\pm 1\) that is assigned to all members of the tau family, or the number 0 that is assigned to all particles not in the tau family        
    electroweak theory theory showing connections between EM and weak forces        
    grand unified theory theory that shows unification of the strong and electroweak forces        
    gluons eight proposed particles which carry the strong force        
    Higgs boson a massive particle that, if observed, would give validity to the theory that carrier particles are identical under certain circumstances        
    quantum chromodynamics the governing theory of connecting quantum number color to gluons        
    standard model combination of quantum chromodynamics and electroweak theory        
    superstring theory a theory of everything based on vibrating strings some \(10^{-35} \mathrm{~m}\) in length        
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