Physics Formulae for Matriculation

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1)Physical Quantities and Measurement - Physical Quantities and Units - Conversion of Unit - Scalar and Vectors - Resolving a Vector - Multiplication of Vectors 2)Kinematic of Linear Motion - Kinematics of Linear Motion - Uniformly accelerated Motion - Freely Falling Bodies - Projectile Motion - Projectile Motion Continue.... 3)Force, Momentum & Impulse - Force - Newton's Laws - Conservation of Linear Momentum and Impulse - Conservation of Linear Momentum and Impulse (continue) - Reaction & Frictional Forces 4)Work, Energy and Power - Work & Energy - Conservation of Energy - Power and Mechanical Efficiency 5)Static - Equilibrium of a Particle - Poligon of Forces - Equilibrium of a Rigid Body - Equilibrium of a Rigid Body (continue) 6)Circular Motion - Uniform Circular Motion - Centripetal Force - Centripetal Force (continue1) - Centripetal Force (continue2) 7)Rotation of a Rigid Body - Parameters in Rotational Motion - Rotational Motion with Uniform Angular Acceleration - Centre of Mass, Moment of Inertia and Torque - Torque - Rotational Kinetic Energy & Power - Work - Conservation of Angular Momentum 8)Gravitation - Newton's Law of Gravitation - Gravitational Force and Field Strength - Gravitational Potential and Gravitational Potential Eneergy - Escape Velocity Satellite motion in a circular Orbit Physics Matriculation Syllibus Physics Page 1

Transcript of Physics Formulae for Matriculation

Page 1: Physics Formulae for Matriculation

1)Physical Quantities and Measurement- Physical Quantities and Units- Conversion of Unit- Scalar and Vectors- Resolving a Vector- Multiplication of Vectors

2)Kinematic of Linear Motion- Kinematics of Linear Motion- Uniformly accelerated Motion- Freely Falling Bodies- Projectile Motion- Projectile Motion Continue....

3)Force, Momentum & Impulse- Force- Newton's Laws- Conservation of Linear Momentum and Impulse- Conservation of Linear Momentum and Impulse (continue)- Reaction & Frictional Forces

4)Work, Energy and Power- Work & Energy- Conservation of Energy- Power and Mechanical Efficiency

5)Static- Equilibrium of a Particle- Poligon of Forces- Equilibrium of a Rigid Body- Equilibrium of a Rigid Body (continue)

6)Circular Motion- Uniform Circular Motion- Centripetal Force- Centripetal Force (continue1)- Centripetal Force (continue2)

7)Rotation of a Rigid Body- Parameters in Rotational Motion- Rotational Motion with Uniform Angular Acceleration- Centre of Mass, Moment of Inertia and Torque- Torque- Rotational Kinetic Energy & Power- Work- Conservation of Angular Momentum

8)Gravitation- Newton's Law of Gravitation- Gravitational Force and Field Strength- Gravitational Potential and Gravitational Potential Eneergy- Escape Velocity Satellite motion in a circular Orbit

Physics Matriculation Syllibus

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- Escape Velocity Satellite motion in a circular Orbit

9)Simple Harmonic Motion- Simple Harmonic Motion- Kinematic of SHM- Kinematic of SHM (continue)- Graph of SHM- Graph of SHM (continue)- Damped and Forced Oscillations and resonance

10)Mechanical Waves- Waves and Energy- Properties of Waves- Properties of Waves (continue)- Interference of WAves- Stationary Waves

11)Sound Wave- The Propagation of Sound Wave- Superposition and Beats- Stationary Waves- Intensity- Doppler Effect

12)Mechanical Properties of Matter- Intermolecular Force and Potential Energy- Young Modulus- Young Modulus (continue)

13)Fluid Mechanics- Hydrostatic Pressure- Buoyancy- Fluid Dynamics- Viscosity

14)Temperature & Heat Transfer- Temperature & Heat- Heat Transfer- Thermal Expansion

15)Kinetic Theory of Gases- Ideal Gas Equation- Kinetic Theory of Gases- Kinetic Theory of Gases (continue)- Molecular Kinetic Energy- Internal Energy & Molar Specific Heat

16)Thermodynamics- First Law of Thermodynamics- Thermodinamics Processes- Thermodynamics Processes (continue)- Thermodynamics Work- Thermodynamics Work (continue)

Pasted from <file:///E:\Physics\syllibus%20physics_files\syllibus.docx>

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Principle of conservation of energy“in an isolated (closed) system, the total energy ofthat system is constant”.

Principle of conservation of momentum“In an isolated (closed) system, the total momentumof that system is constant.”OR“When the net external force on a system is zero, the totalmomentum of that system is constant.”

Principle of conservation of angular momentumthe total angular momentum of a system about anrotation axis is constant if no external torque acts on thesystem.

Principle of SuperpositionWhenever two or more waves are travelling in the same the same region ,the resultant displacement at any point is the vector sum of their individual displacement at the point

Bernoulli's PrincipleFor an ideal fluid, the pressure of the fluid is low when the velocity is high and vice versa

Archimedes's PrincipleWhen a body partially or fully emerged in a fluid,the fluid exerts an upward (bouyant ) force on the body equal to the weight of the water displaced by the body

Principle of Equipartition of Energy“the mean (average) kinetic energy of everydegrees of freedom of a molecule is

or

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Principles Of Physics Sem 1Tuesday, 21 September, 2010

2:30 AM

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Work-energy theoremwork done by the nett force on a body equals the change in the body’s totalenergy”

Work-kinetic energy theorem“the work done by the nett force on a body equals thechange in the body’s kinetic energy”.

Work-gravitational potential energy theorem“ the change in gravitational potential energy asthe negative of the work done by the gravitational force”.

Parallel-Axis Theorem (Steiner’s Theorem)moment of inertia, I about any axis parallel toand a distance, d away from the axis through the centre ofmass, ICM is given by

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Theories Of Physics Sem 1Tuesday, 21 September, 2010

2:30 AM

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Hooke’s Law“the restoring force, Fs of spring is directly proportional to the amount of stretch orcompression (extension or elongation), x if the limit of proportionality is not exceeded”

Newton’s first law of motion“an object will remain at rest or continues tomove with uniform velocity in a straight line unless it isacted upon by a external forces”

Newton’s second law of motion“the rate of change of linear momentum of a movingbody is proportional to the resultant force and is in thesame direction as the force acting on it”

Newton’s 2nd law of motion restates“The acceleration of an object is directly proportional to the nett force acting onit and inversely proportional to its mass”.

Newton’s third law of motion“every action force has a reaction force that is equalin magnitude but opposite in direction”.

Newton’s second law of motion in term of linear momentumthe vector sum of all the torques acting on arigid body is proportional to the rate of change of angularmomentum.

Newton's Law of Gravitationa point mass will attract another point mass in any part of the universe with a force that is directlyproportional to the product of the masses and inversely proportional to the square of the distance between them.

Pascal's LawPressure transmitted in an enclosed liquid is transmitted undiminished to every portion of the fluid and the walls of container

Zeroth Law of thermodynamicsIf two system A and b are separately in thermal equilibrium with third system C,then A and B are in thermal equilibrium with each other

Stefan's Boltzmann's LawThe rate of energy radiated per unit area of a body is proportional to the fourth power of the absolute (Kelvin )temperature

Laws Of Physics Sem 1Tuesday, 21 September, 2010

2:30 AM

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Boyle's LawThe pressure of fixed mass of gas at constant temperature is inversely proportional to its volume

Charles LawThe volume of a fixed mass of gas at constant pressure is directly proportional to its absolute volume

Gay-Lussac's Pressure LawThe pressure of a fixed mass of gas at constant volume is directly proportional to its absolute volume

First Law of ThermodynamicsThe heat (Q) supplied to a system is equal to the increase in the internal energy (DU) of the systemplus the work done (W) by the system on its surroundings

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Gravitational Fieldthe region of space surrounding a body thathas the property of mass.

Gravitational field strengththe gravitational force per unit mass of a body(test mass) placed at a point.

Apparent weightweight felt by a mass due to the normalreaction force exerted by the floor or due to the tension inthe string

Gravitational potentialthe work done by an external force inbringing the test mass from infinity to a point per unit testmass.

WeightlessnessWeight felt by a mass due to the normal reaction force exerted By the floor or due to the tension in the string

Simple Harmonic MotionPeriodic motion without loss of energy in which the acceleration of a body is directly propotional To its displacement from the equilibrium position and is directed towards the equilibrium position but in the opposite direction of displacement

AmplitudeMaximum magnitude of displacement from the equilibrium position

Damping OscillationOscillation in which its amplitude decrease slowly until the amplitude is zero (the system stops oscillating )

Forced OscillationOscillation produced by an external periodic force

ResonancePhenomenon of the occurrence of a maximum amplitude when the driving frequency equals the natural frequency of a system forced into oscillation

WavesThe propagation of as disturbance that caries the energy and momentum away from the sources of disturbance

Mechanical WavesA disturbance that travels through the particles of the medium to transfer the energy

Electromagnetic Wave

Definition of Physics's Term Sem 1Monday, 26 July, 2010

1:27 PM

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Electromagnetic WaveThe transportation of energy because of the disturbance in electric and magnitude fields

Progressive Wave The one in which the wave profile propagates

Transverse WaveWave that the direction of vibration of the particle is perpendicular to the direction of the wave propagation (wave speed)

Longitudinal WaveWave that the direction of vibration of the particle is parallel to the direction of the wave propagation

WavelengthDistance between two consecutive particles (point )which in the same phase

FrequencyNumber of cycles (wavelength) produced in 1 second

Wave SpeedDistance travelled by a wave profile per unit time

DisplacementDistance moved by a particle from its equilibrium position at every point along a wave

InterferenceInteraction (superposition )of two or more wave motion

Constructive InterferenceThe resultant displacement is greater than the displacement of the individual wave

Destructive InterferenceThe resultant displacement is less than the displacement of the individual wave or equal to zero

Stationary (standing wave)A form of wave in which the profile of the wave does not move through the medium

PitchProperty of sound that characterizes highness or lowness of the tone to an observer

Fundamental FrequencyLowest frequency emits by the musical instruments at a particular tone

OvertonesOther upper than the fundamental tone (mode) emits by the musical instruments

HarmonicsFrequencies ,which are multiples of fundamental frequency of a vibrating system

Quality of Tone (timbre)Property of sound that enables a listener to distinguish a type of musical instrument from another although both instrument have the same pitch and loudness

LoudnessA sensation of sound perceived by a listener

BeatsPeriodic variation in amplitude of sound at a given point due to superposition of two sound waves having slightly different frequencies

Intensity

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IntensityRate of sound energy flow across unit area perpendicular to the direction of the sound propagation.

Doppler EffectChange in the apparent (observed) frequency of a wave as a result of relative motion between the source and the observer

WavefrontA line or surface,in the path of a wave motion,on which the disturbances at every point have the same phase

Intermolecular ForcesForces exist between molecules can explain the properties of solids, liquids and gas

Elasticity Of SolidsProperty of solid that enable them to return to their original dimensions (shape and size) after an applied force has been removed

StrengthAbility of a material to withstand a force without breaking

Stiffness Resistance of material to changes in shape and size

DuctilityTendency of A material to change its size and shape considerably before breaking

BrittlenessTendency of a material to break without deforming

Young ModulusRatio of the tensile stress to the tensile strain if the proportionality limit has not exceeded

Hydrostatic PressureNormal force per unit area

ViscosityA measure of fluid resistance to flow

Terminal VelocityConstant velocity finally attained by a body moving through a fluid under gravity when there is zero nett force acting on it

StreamlinePath taken by a fluid particle under a steady (laminar flow)

TemperatureA fundamental quantity that measures the degree of hotness of an object

HeatEnergy that is transferred from one body to another because difference in temperature

Thermal EquilibriumThe state when the temperature of two bodies are equal

Absolute Zero of TemperatureThe lowest temperature on the thermodynamics scale at which the kinetic energy of atoms and molecules is minimal

Ice point (Melting/Freezing point of water)temperature at which there is equilibrium between ice and water at standard atmospheric

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temperature at which there is equilibrium between ice and water at standard atmosphericpressure.

Steam point (Boiling point of water)temperature of steam maintained at standard atmospheric pressure when it is in equilibriumwith water.

Freezingprocess in which a liquid changes into solid state without a change in temperature.

Meltingprocess in which a solid changes into liquid state without a change in temperature

Boilingprocess in which a liquid changes intogas state without a change in temperature

Triple point of watertemperature at which ice, water and watervapour (steam) co-exist in equilibrium.

Thermal expansionChange in dimensions of a body accompanying a change in temperature

Coefficient of linear expansionFractional increase in length of a solid per unit rise in temperature

Coefficient of Area ExpansionFractional increase in area of a solid surface per unit rise in temperature

Coefficient of Volume ExpansionFractional increase in volume of a solid per unit rise in temperature

Ideal GasA perfect gas that obeys the three gas laws (Boyle's,Charles's,and gay-lussac's) exactly

Degree of FreedomNumber of independent ways in which an atom or molecule can absorb or release or store the energy

Internal energySum of total kinetic energy and total potential energy of the gas molecules

Molar specific heat (molar heat capacity)amount of heat required to raise the temperature of 1 mole gasby 1 K or 1 °C.

Molar specific heat at constant pressure (CP)amount of heat required to raise the temperature of 1 mole gas by 1 K or 1 °C at constant pressure.

Thermal ConductionA process when heat transferred through a solid from a region of high temperature to a region of lower temperature

Convectiona process whereby heat is transferred from one part of a fluid to another by movement of the fluid itself.

Radiationa process whereby heat is transferred by electromagnetic waves (e.m.w.)

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Molar specific heat at constant volume (CV)amount of heat required to raise the temperature of 1 mole gas by 1 K or 1 °C at constantvolume.

Thermodynamic SystemAny collection of objects that is convenient to regard as a unit ,and that may have the potential energy to exchange with its surrounding

Isothermal processprocess that occurs at constant temperature

Adiabatic processprocess that occurs without heat transfer intoor out of a system

Isochoric (Isovolumetric)process that occurs at constant volume

Isobaricprocess that occurs at constant pressure

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Equation of Linear Motion

Equation of Linear Motion & Free Falling Bodies

Maximum Height Of Free Falling Bodies

Equation Of Vertical Motion Equation of Horizontal Motion

WorkWork

Kinetic Energy

Gravitational Potential Energy Elastic Potential Energy Nett Work

Restoring Force of SpringElastic Potential Energy

Work Elastic Potential Energy TheoremWork-energy theorem

Newton's First Law of Motion Newton's Second Law Of Motion Newton's Third Law of Motion

Coefficient of restitution

ImpulseFrictional Force

Average Acceleration Instantaneous Acceleration

Velocity

Average Velocity

Instantaneous Velocity

Nett Work

Principle of Conservation of Energy

Conservation of mechanical Energy

Power

WeightMomentum

Principle of Conservation of Momentum

(c2) Kinematics of Linear Motion

(c3) Force Momentum Impulse

(c4) Work, Energy, Power

Equations In PhysicsTuesday, 21 September, 2010

2:00 AM

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Average Power Instantaneous PowerAverage Power

Mechanical Efficiency

TorqueTorque

Equilibrium of Rigid Body

(c6) Circular motion

Equilibrium of A Rigid Body Equilibrium Of A Rigid Body

Mechanical Efficiency

Centripetal Acceleration

Length Of Arc Frequency

Tangential Velocity

Tangential Velocity

Centripetal Acceleration

Centripetal AccelerationCentripetal Force Centripetal Force

Angular Displacement

Average Angular VelocityInstantaneous Angular Velocity

Average Angular Accelaration Instantaneous Angular Acceleration

Linear Velocity

Centripetal Acceleration

Resultant Acceleration

Centre Of Mass

Moment Of InertiaParallel-Axis Theorem (Steiner's Theorem)

Total Torque In A Rigid Body Rotational Kinetic Energy Total Kinetic Energy For Rolling Body Without Slipping

WorkWork-Rotational Kinetic Energy Theorem

Power

(c5) Static

(c7) Rotational of A Rigid Body

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Angular Momentum Angular Momentum Angular Momentum

Principle Of Conservation Of Angular MomentumPrinciple Of Conservation Of Linear Momentum

Gravitational Force

Gravitational Field Strength Work Done By External Force To Bring Test Mass From r1 to r2

Gravitational potentialGravitational potential Gravitational potential difference between point A and B

Simple Harmonic MotionPeriod

FrequencyPeriod of Simple Pendulum

Frequency

Period of Spring Oscillation

Equation of SHMVelocity

Maximum Velocity

VelocityAcceleration Maximum Acceleration

Acceleration VelocityAcceleration

Potential Energy Potential EnergyKinetic Energy

Kinetic Energy Total EnergyTotal Energy

Velocity (wave speed)Wave Number,k

Equation of Displacement (sin progressive wave)

Phase Difference

Wave Number,k Equation of Wave Propagation

Gravitational Field Strength

(c8) Gravitation

(c8) Simple Harmonic Motion

(c10 &c11) Mechanical & Sound Wave

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Equation of Wave Propagation

Equation o f Particle's VelocityEquation of a Particle's Acceleration In Wave

Equation of Particle's Acceleration in Wave Equation of Stationary WaveEquation of displacement (sound wave)

Equation for Pressure

Fundamental Frequency

Wave speed on The Spring

Mass per Unit LengthMass per Unit Length

Mass per Unit Length

Frequency

FrequencyBeat Frequency

Beat FrequencyFrequency

Sound Intensity Relationship Between Area andDistance from the Source

Observer's and Source's Frequency

Wavelength in Front moving SourceWavelength Behind Moving Source

Equation of Doppler Effect

Repulsive Force Attractive ForceResultant Force Between Atoms

Young Modulus

Force ConstantWork Done

Hydrostatic Pressure

Pascal's Law

Coefficient of ViscocsityViscous Drag Force

Terminal Velocity (valid for sphere without turbulent)Volume Flow Rate

Bernoulli's Equation

Torecelli's Law

Bouyant Force

Stefan's Boltzmann's Law

Thermal ConductivityRate of Heat Transferred

(c12) Mechanical Properties of Matter

(c13) Fluid Machanics

(c14) Temperature & Heat Transfer

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Final DensityRelationship Between Coefficient of Volume Expansionand Area Expansion

Coefficient of Volume Expansion

Volume ExpansionRelationship Between Coefficient of Linear Expansion And Area Expansion

Coefficient of Area Expansion

Area ExpansionLinear ExpansionCoefficient of Linear Expansion

Boyle's LawCharles's law Gay-lussac's (pressure) Law

Universal Gas Law

Ideal Gas Equation Ideal Gas Equation (in term of Boltzmann constant)

Force Exerted on The Wall in All Direction

Pressure of An Ideal Gas

Pressure of Gas Root Mean Square Velocity

Root Mean Square Velocity Translational Kinetic Energy of A Molecule

Total Average Translational Kinetic Energy

Average Kinetic Energy per Molecules Average Kinetic Energy per Mole

Internal Energy

Equation of Specific Heat Capacity Molar Specific Heat

Molar Specific Heat at Constant Pressure

Molar Specific Heat at Constant Volume

Relationship Between CP and CV

Ratio Between CP and CV

Work Done by GasWork Done at Constant Pressure

Quantity of Heat Supply (1st Law of Thermodynamics)

Change in Internal Energy Isothermal Process

Adiabatic Process

Adiabatic Changes

Equation of Adiabatic Changes in Pressure and Volume

Equation of Isothermal Changes

Isochoric (isovolumetric)

Isobaric Process

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(c15) Kinetic Theory of Gases

(c16) Thermodynamics

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