This post contains all the important formulas that you need for A Level Physics. (Equivalent to AP Physics) If you do not recognise any of the terms listed here, you should go review the respective topic.

Please drop me a comment if I missed out any particular important definitions.

**Measurement:****Random errors** are errors of measurements in which the measured quantities differ from the mean value with different magnitudes and directions.

**Systematic errors** are errors of measurements in which the measured quantities are displaced from the true value by fixed magnitude and in the same direction.

**Accuracy** is a measure of how close the results of an experiment agree with the true value.

**Precision** is a measure of how close the results of an experiment agree with each other.

**Thermal Physics:**

The** internal energy** is a function of state and the total microscopic kinetic and potential energies of the particles composing the system.

The **specific latent heat of fusion**, L_{f} , is defined as the amount of heat required per unit mass to change a substance from the solid phase to the liquid phase without any change in temperature

The **specific latent heat of vaporization**, L_{v}, is defined as the amount of heat required per unit mass to change a substance from the liquid phase to the vapor phase without any change in temperature.

**First law of thermodynamics** state that internal energy is a function of state and the increase in internal energy is equal to the sum of the heat supplied to system and work done on system.

**Kinematics:****Speed** is the rate of change of distance traveled with respect to time.

**Velocity **is the rate of change of its displacement with respect to time.

**Acceleration** of an object is the rate of change of its velocity with respect to time.**Forces And Dynamics:****Normal contact force** is a force perpendicular to the surface experienced by a body when it is in physical contact with something else.

**Hooke’s Law** states that within the limit of proportionality, the extension produced in a material is directly proportional to the load applied.

The **principle of moments** states that, when an object is in equilibrium, the sum of anticlockwise moments about any point equals the sum of clockwise moments about the same point.

The **moment of a force** is the product of the force and the perpendicular distance between the axis of rotation and the line of action of the force.

A **couple** is a pair of forces, equal in magnitude but opposite in direction, whose lines of motion do not coincide.

**Centre of gravity** is the point on an object through which the entire weight of the object may be considered to act.

**Stability** of an object refers to its ability to return to its original position after it has been displaced from that position.

**Pressure** is force acting per unit area.

**Upthrust/buoyancy force** is an upward force on a body produced by the surrounding fluid (i.e., a liquid or a gas) in which it is fully or partially immersed, due to the pressure difference of the fluid between the top and bottom of the object.

**Archimedes’ Principle** states that the upthrust experienced by an object partially or entirely immersed in a fluid is equal to the weight of the fluid displaced by the object.

**Newton’s first law of motion** states that a body will continue in its state of rest or uniform motion in a straight line unless an external resultant force acts on it.

**Newton’s second law** states that the rate of change of momentum of a body is proportional to the resultant force acting on it and the change takes place in the direction of the force.

**Newton’s third law** states that: If body A exerts a force on body B, then body B exerts a force of equal magnitude but in the opposite direction on body A.

The **principle of conservation of momentum** states that the total momentum of a system of objects remains constant provided no resultant external force acts on the system.

**Work, Energy And Power:****Work** is the mechanical transfer of energy to a system or from a system by an external force on it.

**Heat** is the non-mechanical transfer of energy from the environment to the system or from the system to the environment because of a temperature difference between the two.

The **principle of conservation of energy** states that energy cannot be created nor destroyed in any process.

**Gravitational Potential Energy** is defined as the amount of work done in order to raise the body to the height h from a reference level.

**Power** is defined as the rate of work done or energy converted with respect to time.**Circular Motion:****Angular displacement**, θ is the angle subtended at centre of a circle by an arc of equal length to the radius.

**Angular velocity**, ω is the rate of change of angular displacement with respect to time.

The **period** T of an object in circular motion is the time taken for the object to make one complete revolution.

The **frequency** f of an object in circular motion is the number of complete revolutions made by the object per unit time.**Waves:****Displacement** is the distance moved by the particle from its equilibrium position.

The **amplitude** of a wave is the maximum displacement of the particle from its equilibrium position.

The **wavelength** is the distance between 2 successive points on a wave which are in phase with one another.

The **period** is the time taken for a particle on the wave to complete one oscillation.

The **frequency** of a wave is the number of complete oscillations that pass through a given point in 1 second. (Units: Hertz(Hz) or s^{-1})

A **compression** is a region where particles are close to one another. (High pressure)

A **rarefaction** is a region where the particles are further apart. (Low pressure)

**Phase Difference** (φ) between two particles or two waves tells us how much a particle (or wave) is in front or behind another particle (or wave).

**Intensity** of a wave is the rate of transfer of energy per unit area perpendicular to the direction of travel of the wave.**Oscillations:****Periodic motion** is the regular, repetitive motion of a body which continually retraces its path at regular intervals.

**Period** T of a periodic motion is the time to make one complete cycle.

**Frequency** f of a periodic motion is the number of cycles per unit time.

**Angular frequency** of a periodic motion is the rate of change of angular displacement with respect to time.

**Displacement** of an object is the distance of the oscillating particle from its equilibrium position at any instant.

**Amplitude** of a periodic motion is the magnitude of the maximum displacement of the oscillating particle from the equilibrium position.

**Simple Harmonic Motion** (SHM) is defined as the oscillatory motion of a particle whose acceleration a is always directed towards a fixed point and is directly proportional to its displacement x from that fixed point but in the opposite direction to the displacement.

**Damping** is the process whereby energy is taken from the oscillating system.

**Natural frequency** of the system is the frequency at which it will vibrate freely.

**Superposition:****Diffraction** refers to the bending or spreading out of waves when they travel through a small opening or when they pass round a small obstacle.

The **Principle Of Superposition** states that when two waves of the same kind meet at a point in space, the resultant displacement at that point is the vector sum of the displacements that the two waves would separately produce at that point.

**Interference** refers to the superposing of two or more coherent waves to produce regions of maxima and minima in space, according to the principle of superposition.**Gravitation:****Newton’s Law Of Universal Gravitation** states that every particle in the Universe attracts every other particle with a force that is directly proportional to the product of their masses and inversely proportional to the square of the distance between them.

**Gravitational field strength** at a point is defined as the gravitational force per unit mass acting on a mass placed at that point.

**Gravitational potential energy**, U of a point mass m, in a gravitational field, is the work done by an external force in bringing that point mass from infinity to that point.

**Gravitational potential** at a point in a gravitational field is the work done per unit mass, by an external force, in bringing the mass from infinity to that point.

**Escape speed** is the minimum speed with which a mass should be projected from the Earth’s surface in order to escape Earth’s gravitation field.

The **coulomb’s law** states that the electrostatic force between two point charges is proportional to the product of their charges and inversely inversely proportional to the square of the distance between them.

The **Electric field strength** at a point in an electric field is the electrostatic force per unit charge experienced by a small positive test charge placed at that point.

**Electric Potential** at a point in an electric field is the work done per unit charge by an external agent in bringing a positive test charge from infinity to that particular point without acceleration.

**Electric potential energy** of a charge in an electric field is defined as the work done by an external force in bringing the charge from infinity to that point a distance r away.

The **electron volt** is defined as energy that an electron (or proton) gains (or loses) when it is accelerated(or decelerated) through a potential difference of 1 volt.**Current Of Electricity:****Electric Current** is the rate of flow of charge through a particular cross sectional area with respect to time.

The **potential difference** between two points in an electrical circuit is the electrical energy converted into other forms of energy per unit charge passing from one point to the other.

**One volt** is the potential difference between two points in an electrical circuit when one joule of electrical energy is converted to other form of energy as one coulomb of charge passes from one point to the other.

**Ohm’s Law** states that the ratio of the potential difference across a conductor to the current flowing through it, is a constant, provided that its physical conditions, such as temperature, remain constant.

The **electromotive force** ($\epsilon$) of a source is the energy converted from other forms to electrical per unit charge delivered round a complete circuit.

**Internal resistance** (r) of any real source is the resistance that charge moving through the material of the source encounters.

**DC Circuits:****Kirchhoff’s First Law** states that the total current entering a junction is equal to the total current leaving the junction. OR The algebraic sum of currents at a junction is zero.

**Kirchhoff’s second law** states that the net electromotive force around a closed circuit loop is equal to the sum of potential drops around the loop. OR The algebraic sum of the changes in potential encountered in a complete traversal of a closed circuit loop must be zero.

** Electromagnetism:****Magnetic flux density** (B) is defined as the force acting per unit current per unit length on a wire placed at right angles to the magnetic field.

**1 Tesla** is defined as the magnetic flux density of a uniform magnetic field when a wire of length 1m , carrying a current of 1A, placed perpendicular to the field, experiences a force of 1N in a direction at right angles to both the field and the current.

**Electromagnetic Induction:****Magnetic flux through a plane surface** is the product of the magnetic flux density normal to the surface BN and the area A of the surface.

The **weber** is defined as the magnetic flux through a surface if a magnetic field of flux density 1 T exists perpendicularly to an area of 1 m^{2}.

**Magnetic Flux Linkage** is defined as the product of the number of turns N of the coil and the magnetic flux linking each turn.

**Faraday’s Law** states that the induced e.m.f. is directly proportional to the rate of change of magnetic flux linkage or rate of cutting of magnetic flux linkage.

**Lenz’s Law** states that the induced e.m.f. will be directed such that the current which it causes to flow opposes the change that is producing it.

The **root-mean-square (r.m.s.) value of an alternating current** is equivalent to the steady direct current that converts electrical energy to other forms of energy at the same average rate as the alternating current in a given resistance.

**Rectification** is the process in which an alternating current is forced to only flow in one direction.**Semiconductors:**

**Band gap** is the energy difference between top of valence band and bottom of conduction band. It is also a range of energy in a solid where no electron states exist.

An **intrinsic semiconductor** is a pure semiconductor crystal containing only one element or one compound.

Extrinsic semiconductors doped with donor impurities are called **n-type semiconductors** because they donate an excess of negative charge carriers.**Quantum Physics & Lasers:**

**Photoelectric Effect** is the emission of electrons from metal by electromagnetic radiation.

**Photoelectron** is used to indicate that the electron has been emitted when light falls on the surface of a metal.

The **work function** of a material is defined as the minimum amount of the work necessary to remove a free electron from the surface of the material.

**Threshold frequency** is the minimum frequency of an incident radiation required to just remove an electron from the surface of a metal.

The **scanning tunnelling microsope** (STM) is a non-optical microscope which uses the concept of quantum tunnelling by electrons to study surfaces of conductors or semi-conducors at the atomic scale of about 2 Å or 0.2 nm.**Nuclear Physics:**

The **mass defect** of a nucleus is defined as the difference between the mass of the separated nucleons and the combined mass of the nucleus.

**Nuclear fission** is the disintegration of a heavy nucleus into two lighter nuclei of approximately equal masses.

**Nuclear fusion** is the combining of the two light nuclei to produce a heavier nucleus.

**Radioactive decay** is the spontaneous disintegration of the nucleus of an atom which results in the emission of particles.

**Background radiation** refers to ionizing radiation emitted from a variety of natural and artificial radiation sources.

The **activity** of a radioactive substance is defined as the average number of atoms disintegrating per unit time.

The **decay constant** λ of a nucleus is defined as its probability of decay per unit time.

**Half-life** is defined as the time taken for half the original number of radioactive nuclei to decay.