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mass defect
the difference between the total mass of the separate nucleons in a nucleus and the combined mass of the nucleus
binding energy
the energy required to separate the nucleons in a nucleus to infinity. it is also the energy equivalent of the mass defect of a nucleus
binding energy per nucleon
average energy per nucleon needed to separate a nucleus into its constituent nucleons to infinity
nuclear fission
the splitting of a heavy nucleus into two lighter nuclei of approximately the same mass
nuclear fusion
the process where two light nuclei combine to form a nucleus of greater mass
radioactive decay
a spontaneous and random process in which an unstable nucleus emits alpha particles, beta particles or gamma radiation to become more stable
random
a random process is one in which it cannot be predicted which nucleus will decay next
spontaneous
a spontaneous process is one which is not triggered or affected by external factors such as temperature or pressure
exponential decrease
a situation where a quantity reduces at a rate proportional to its current value
decay law
for a large number of nuclei, the rate at which a particular decay process occurs in a radioactive sample is proportional to the number of undecayed radioactive nuclei present
decay constant
probability per unit time of decay of a nucleus
activity of a radioactive source
the number of nucear disintegrations per unit time in the source
count rate
rate at which emissions from a radioactive source are detected
half life
average time taken for the number of undecayed nuclei to be reduced to half its original number
simple harmonic motion
the acceleration is directly proportional to the displacement from the equilibrium position and the acceleration is always directed towards the equilibrium positio
oscillation
repetitive back and forth motion of an object along the same path
free oscillation
there is neither resistive forces nor driving forces acting on the system. total energy is always constant and it oscillates with a constant amplitude. the object oscillates with a frequency called its natural frequency.
damped oscillation
one that experiences resistive forces and the oscillating system loses energy until it comes to a stop
forced oscillation
one that is driven by an external periodic driving oscillator or river. there is continuous energy input to the oscillating system by the driver and the system oscillates at the frequency of the driver
resonance
resonance is the phenomenon in which there is a maximum transfer of energy from the driver to the oscillating system in a forced oscillation. the oscillating system achieves maximum amplitude during resonance. for an undamped system, resonance occurs when the driving frequency equals the natural frequency of the oscillating system
transverse wave
a wave in which the oscillations of the particles in the waves are perpendicular to the direction in which the energy of the wave is travelling
longitudinal waves
a wave in which the oscillations of the particles in the wave is along or parallel to the direction in which the energy of the wave is travelling
intensity of a wave
rate of flow of energy per unit area perpendicular to the direction of the wave
polarisation
polarisation is a process by which a wave’s oscillations are made to occur in a single plane only
principle of superposition
when waves meet, the actual displacement is the vector sum of the separate displacements of the individual waves, and each wave proceeds as though no other waves exist
interference
interference is the result of superposition of wavetrains from a finite number of coherent sources
coherent sources
sources that have a constant phase difference
stationary wave
it is formed from the superposition of two progressive wavetrains of equal amplitude and frequency and wavelength travelling with the same speed is opposite directions over the same space
wavetrain
a succession of wave cycles moving at the same speed and typically having the same wavelength
diffraction
it is the spreading of waves when they pass through an opening or around an obstacle
rayleigh’s criterion
it states that the images of two point sources can just barely be distinguished from each other if the central maximum of one diffraction pattern falls on the first minimum of the other one
coulomb’s law
coulomb’s law states that the magnitude of the electric force F between two point charges Q1 and Q2 is proportional to their charges and inversely proportional to the square of their separation r
newton’s law of gravitation
states that two point masses attract each other with a force that is proportional to the product of their masses and inversely proportional to the square of the separation between them
electric field
an electric field is a region of space in which a charge placed in that region experiences an electric force
grav field
a gravitational field is a region of space in which a mass experiences a force
efield strength
it is the electric force exerted per unit positive charge acting on a test charge placed at that point
gfield strength
the gravitational force experienced per unit mass acting on a small test mass at that point
electric potential energy
it is the work done by an external agent in bringing the charge from infinity to that point without any change in kinetic energy)
grav potential energy
it is the work done by an external agent in bringing te mass from infinity to that point
electric potential
it is the work done per unit positive charge in bringing a small test charge from infinity to that point by an external agent without any change in kinetic energy
gravitational potential
it is the work done per unit mass by an external agent in bringing a small test mass from infinity to that point
thermal equilibrium
when two bodies are in thermal equilibrium, there is no net transfer of thermal energy between the bodies in thermal contact and the bodies are at the same temperature
assumptions of the kinetic theory of gases
any gas is made up of a large number of particles
the particles are in constant and random motion
the particles make perfectly elastic collisions among themselves and with the wall of the container ( no loss of KE when particles collide)
the volume of each particle is negligible compared to the volume of the gas
the forces between the particles are negligible except during the time of collision
the duration of collisions is negligible compared with the time interval between collisions
internal energy of a system
it is the sum of random distribution of kinetic energy and potential energy of all the atoms or molecules
specific heat capacity of a substance
it is the thermal energy per unit mass to raise the temperature of a substance by one degree Kelvin
specific atent heat of fusion
it is the amount of thermal energy required per unit mass to change a substance from the solid phase to the liquid phase at constant temperature
specific latent heat of vaporisation
it is the amount of thermal energy required per unit mass to change a substance from the liquid phase to the vapor phase at constant temperature
first law of thermodynamics
it states that the increase in internal energy is equal to the sum of heat supplied to the system and the work done on the system