Systematic Errors result in all readings or measurements being either always above or always below the true value by a fixed amount.
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Random Errors
Random errors results in readings or measurements being scattered about a mean value. These errors have an equal probability of being positive or negative.
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Accuracy
Degree of closeness of the mean value of measurements to the true value
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Precision
Degree of agreement between repeated measurements of the same quantity
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Distance
The total length of a path an object travels
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Displacement
The distance moved in a specified direction from a reference point
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Speed
The instantaneous speed of an object is defined as the rate of change of distance with respect to time.
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Velocity
The instantaneous velocity of an object is defined as the rate of change of displacement with respect to time.
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Average Speed
The total distance travelled over total time taken
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Average Velocity
The change in displacement over total time taken
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Acceleration
Rate of change of velocity with respect to time.
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Average Acceleration
Change in velocity over time taken
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Newton's First Law
A body continues in its state of rest or uniform motion in a straight line unless an external resultant force acts on it
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Inertia
Inertia of a body is its reluctance to start moving, or to change its motion once it has started
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Mass
Intrinsic property of a body which resists a change in motion
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Weight
Force experienced by a mass in a gravitational field
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Equillibrium
When a state of a body remains unchanged even though two or more forces are acting upon it (translational and rotational equilibrium)
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Newton's Second Law
The rate of change of momentum of a body is proportional to the resultant force acting on it and occurs in the direction of the force.
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Momentum (of a body)
Product of its mass and its velocity
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Newton's Third Law
If Body A exerts a force on Body B, then Body B exerts an equal and opposite force on Body A.
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Impulse
Defined as the product of a force F acting on an object and the time delta t for which the force acts.
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Principle of Conservation of Momentum
When bodies in a system interact, the total momentum of the system remains constant, provided no net external force acts on it
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Hooke's Law
Hooke's Law states that the extension of a body is proportional to the applied load if the limit of proportionality is not exceeded
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Centre of Gravity
The centre of gravity of a body is the point at which its hold weight (or resultant of the distributed gravitational attraction on the body) appears to act through
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Couple
A couple consists of a pair of equal and opposite forces whose lines of action do not coincide and which tend to produce rotation only
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Torque of a Couple
Product of the magnitude of one of the forces and the perpendicular distance between the forces
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Density
Mass per unit volume
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Pressure
Force per unit area, where the force is acting at right angles to the area
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Upthrust
Upthrust is the vertical upward force exerted on a body by a fluid when it is fully or partially submerged in the fluid due to the difference in fluid pressure
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Archimedes Principle
The upthrust on a body in a fluid is equal to the weight of the fluid displaced by that body
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Principle of Flotation
For an object floating in equilibrium, the upthrust is equal in magnitude and opposite in direction to the weight of the object
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Principle of Moments
For a body to be in rotational equilibrium, the sum of all the clockwise moments about any axis must equal the sum of all the anticlockwise moments about the same axis
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Moment
Moment about an axis is the product of the force and the perpendicular distance of the line of action of the force from the axis
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Work Done
Work done by a constant force is the product of the force and the displacement in the direction of the force
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Principle of Conservation of Energy
Energy cannot be created or destroyed. It can only be converted from one form to another
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Elastic Potential Energy
Energy stored in objects which have had their shapes changed elastically
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Power
Rate of Work Done / Energy Conversion with respect to time
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Angular Displaecment
Angle an object makes with respect to a reference line
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Angular velocity
Rate of change of its angular displacement with respect to time
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Newton's Law of Gravitation
Two point masses attract each other with a force that is directly proportional to the product of their masses and inversely proportional to the square of the distance between them.
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Gravitational Field
Region of space in which a mass placed in that region experiences a gravitational force
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Gravitational Field Strength
Gravitational force experienced per unit mass at a point in space
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Gravitational Potential Energy
Work done by an external force in bringing a mass at a point in a gravitational field from infinity to that point
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Gravitational Potential
Work done per unit mass by an external force in bringing a small test mass from infinity to that point / a point in the gravitational field.
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Escape Velocity
Minimum speed needed for the object to just escape from the gravitational influence of a massive body.
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Kepler's Third Law
Square of the period of revolution of the planets are directly proportional to the cubes of their mean distances from the sun
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Satellite
Moon, planet or machine that orbits a planet or star
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Geostationary Satellite
A geostationary satellite is one that remains at a fixed position as viewed from any location on the earth's surface
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Simple Harmonic Motion
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Simple Harmonic Motion
Motion of a particle about a fixed point such that its acceleration is proportional to its displacement from the fixed point, and is always directed towards the point
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Angular Frequency
Rate of change of phase angle of the oscillation, equal to the product of 2pi and its frequency
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Amplitude
Magnitude of the maximum displacement of the particle from its equilibrium position
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Period
Time taken to complete 1 oscillation
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Frequency
Number of oscillations per unit time
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Free Oscillations
Occurs when an object oscillates with no resistive and driving forces acting on it, and its total energy and amplitude remain constant with time
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Damping / Damped Oscillations
Process whereby energy is removed from an oscillating system
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Forced Oscillations
Forced Oscillations are produced when a body is subjected to a periodic external driving force.
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Resonance
Resonance occurs when a system responds at maximum amplitude to an external driving force, which occurs when the frequency of the driving force is equal to the natural frequency of the driven system
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Phase Difference
Phase difference between two particles on a wave or two waves at a point is a measure of the fraction of a cycle in which one is ahead of the other
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Phase Angle
Phase angle of a wave is an angle that gives a measure of the fraction of a cycle that has been completed by an oscillating particle or by a wave.
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Wavefront
A line or surface joining points on a wave that are in phrase
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Wavelength
The shortest distance between two consecutive points that are in phase.
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Progressive Wave
A progressive wave transports energy from one point to another in the direction of wave propagation
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In Phase
Particles of a wave are considered to be in phase when they execute the same motion at the same time
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Out of Phase
Particles that show different stages of motion are out of phase with each other. They have a non-zero phase difference.
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Anti-Phase
Particles in a wave are in anti-phase when they execute motions that are out of phase by pi radians. (Equal but opposite displacements, velocities and accelerations)
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Wave Intensity
Intensity I of a wave is defined as the rate of transfer of energy per unit area normal to the direction of energy transfer of the wave.
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Transverse Wave
A wave in which particles oscillate in a direction perpendicular to the direction of energy transfer
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Longitudinal Wave
A wave in which particles oscillate in a direction parallel to the direction of energy transfer
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Polarisation
Phenomenon whereby the oscillations of the wave particles in transverse waves are restricted to one direction only and this direction is perpendicular to the direction of energy transfer.
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Malus' Law
Malus' Law states that the intensity of a beam of plane-polarized light after passing through a polarizer varies with the square of the cosine of the angle through which the polarizer is rotated from the position that gives maximum intensity
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Principle of Superposition
When two or more waves of the same kind meet at a point in space, the resultant displacement at that point is equal to the vector sum of the displacements of the individual waves at that point.
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Stationary Waves
A stationary wave is the result of the superposition of two progressive waves of the same type, frequency, amplitude and speed, travelling along the same line but in opposite directions
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Antinode
An antinode is a point in a stationary wave where the amplitude is the maximum
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Node
A node is a point in a stationary wave where the amplitude is zero
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Diffraction
Diffraction is the bending of waves after passing through an aperture or round an obstacle.
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Coherence
Waves are coherent or exhibit coherence when they have a constant phase difference
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Interference
Interference is the superposition of two or more waves to give a resultant wave whose resultant amplitude is given by the principle of superposition
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Constructive Interference
Occurs when two coherent waves arrive at the same point with a phase difference of zero to provide a maximum amplitude (Fixed amplitude, varying displacement)
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Destructive Interference
Occurs when two coherent waves arrive at the same point with a phase difference of pi radians to provide a minimum amplitude
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Path difference
The path difference between two waves is the difference in the distance that each wave travels from its source to the point where they meet.
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Huygen's Principle
All points on a wavefront could be regarded as secondary sources giving rise to their own outward spreading of circular wavelets. The envelop of wavefronts produced by secondary sources gives the new position of the original wavelet.
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Rayleigh's Criterion
Rayleigh's Criterion states that two images are just resolved by an aperture when the central maximum of the diffraction pattern of one image falls on the first minima of the diffraction pattern of the other image.
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Thermal Equilibrium
When there is no net flow of heat between two objects in thermal contact, the two objects are in a state of thermal equilibrium
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Zeroth Law of Thermodynamics
If objects A and B are each separately in thermal equilibrium with object C, then A and B are also in thermal equilibrium with each other.
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Thermometric Property
Physical property of a substance that varies with temperature
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Thermodynamic Scale
The absolute scale of temperature or the thermodynamic scale of temperature is one that is independent of the property of any substance and has an absolute zero
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Absolute zero
Zero point of the thermodynamic temperature scale and the temperature at which all substances have a minimum internal energy
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Ideal Gas
A gas which obeys the equation of state pV=nRT at all pressures, volumes and temperature.
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Specific Heat Capacity
Quantity of heat required per unit mass to cause a unit rise in temperature of the body
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Specific Latent Heat of Fusion
Quantity of heat required to convert unit mass of solid to liquid without any change of temperature
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Specific Latent Heat of Vaporization
Quantity of heat required to convert unit mass of liquid to gas without any change in temperature
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Internal Energy
The internal energy of a system is the sum of the microscopic kinetic energy, due to the random motion of the molecules, and the microscopic potential energy, associated with the intermolecular forces of the system.
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First law of Thermodynamics
The First Law of Thermodynamics states that the increase in Internal Energy of a System is equal to the sum of the heat supplied to the system and the work done on the system, and the internal energy of a system depends only on its state.
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Cyclic Process
A cyclic process is one in which the system goes through a series of process and ends at its initial state
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Electric Field
An electric field is a region of space in which a charge placed in that region experiences an electric force.
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Electric Field Strength
The electric field strength at a point is defined as the electric force exerted per unit positive charge placed at that point
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Coulomb's Law
Coulomb's Law states that the force between two point charges is proportional to the product of the charges and inversely proportional to the square of the distance between them
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Electric Potential Energy
The electric potential energy of a charge at a point in an electric field is defined as the work done by an external force in bringing the charge from infinity to that point
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Field of Force
Region of space in which another body carrying that property experiences a force when it is placed in the field