Modern Physics Flashcards
properties of the electron
- orbits the nucelus
- very small mass
- negatively charged
- smallest amount of charge found in nature
Who named and who measured the electron?
- named by Irish scientist George Johnstone Stoney
- First measured by American scientist Robert Millikan
electronvolt - why use it
-the energy of electron is so small, we use a new unit called the electronvolt
Electronvolt (eV)
The electronvolt is the energy gained or lost by an electron when it moves through a potential difference of one volt
1 eV
1eV = 1.6x10⁻¹⁹ J
on log table
thermionic emission
giving off of electrons from the surface of a hotel metal
thermionic emission use
can be used to produce a beam of electrons in an evacuated glass tube - cathode ray tube
cathode ray tube contents
(know diagram)
- glass tube with a vacuum
- cathode and anode electrodes
- screen
- two sets of parallel plates
cathode ray tube procedure
- cathode is heated
- thermionic emission occurs
- anode voltage between anode and cathode
- beam of electrons travel from the anode to the screen, producing a bright spot of light
cathode rays
streams of high speed electrons moving from the cathode are called cathode rays
cathode rays properties
- travel in straight lines
- cause some substance to give out light
- have kinetic energy
- can be deflected in electric and magnetic fields
- invisible, but can be detected
deflection of beam (Electric field)
- if high voltage placed across parallel plates, beam will deflect
- larger the voltage, more it will deflect
- if pd is reversed, deflection will go the other way
- Y-plates control vertical position
- X-plates control horizontal position
Deflection of Beam (magnetic field)
- place bar magnet near cathode ray tube
- beam of electrons will deflect as per Fleming’s left hand rule
- force is always perpendicular to direction of motion
- Speed does not change
- beam of electrons moving at right angles to a magnetic field moves in a circle
uses of cathode ray tube
- television
- computer monitor
- cathode ray oscilloscope
- used in Electrocardiogram (ECG)
- used in Electroencephalogram (EEG)
When a charge Q moves through a voltage V, the work W done is given by
(not on log tabl
W = QV or W = eV
e is charge on an electron, 1.6x10⁻¹⁹ C
Loss in Eₚ = Gain in Eₖ
Gain in Eₚ = Loss in Eₖ
eV = 1/2mv²
photoelectric effect
the emission of electrons from surface of a metal by electromagnetic radiation of a suitable frequency
To show the photoelectric effect
know experiment
apparatus: gold leaf electroscope
procedure: shine uv light
result: leaves collapse
Photocell diagram
in notes
Photocell
photoelectric cell
photocell use
Used in:
- solar powered calculators
- burglar alarms
- automatic doors
- control of heaters in central heating
- sound track in films
How photocell works
- conducts electric current when light of suitable freq shines on it. Current proportional to intensity of light
- Has 2 electrodes (Cathode +, Anode -)
- Cathode called photocathode, coated in material that will undergo photoemission
- Anode is rod running up centre
- tube has a vacuum
- Photoelectrons emitted when suitable freq light strikes photocathode and are attracted to positive anode
- Small photocurrent flows while light is on it
To demonstrate action of a photocell
experiment
photocurrent and intensity of light
Photocurrent ∝ Intensity of the light
Threshold frequency
- For a given metal, the freq below which photoemission will not occur is called the threshold frequency
- Light above this freq will cause photoemission
- Increased freq does not affect emission
Threshold freq of diff materials
- Zinc: freq is in UV range
- Alkali metals (group 1): in visible and IR range
Work function Φ
The work function of a metal is the minimum energy needed to remove the loosest electron from the surface of that metal
What must light be considered as?
- Light must be considered as a “packet of energy”
- Each packet is called a photon or quantum of energy
Equations
E = hf
hf = Φ + 1/2mv² (Einstein's Photoelectric effect) E = Φ + 1/2mv²
Φ = hf₀
E = energy of the photon!!!!!!!!!!!!!!! f = freq h = Planck's constant Φ = work function f₀ = threshod freq 1/2mv² = kinetic energy
Photon
A packet of electromagnetic energy
How energy of a photon gotten
The energy, E of a photon is given by E=hf, where f is freq and h is Planck’s constant
light source and photons
the brighter a light source, the more photons it gives out per second
Einstein’s Photoelectric Law
hf = Φ + 1/2mv²ₘₐₓ
Work function = (Planck’s constant)(Threshold frequency)
Φ = hf₀
x-rays
high frequency electromagnetic radiation produced when high speed electrons in a cathode ray tube strike a metal target that has a high melting point
hot cathode x-ray tube
- Thermionic emission at cathode
- V high voltage across tube (80kV) accelerates electrons towards anode
- When electrons strike target, some kinetic energy converted to X-rays
- rest of energy converted to heat, removed by coolant
- Lead shield to protect operators
X-ray is inverse of photoelectric effect
- in photoelectric effect, radiation strikes a metal and electrons emitted from metal
- in x-rays, electrons strike metal and lose their energy, radiation given off
- They are opposite to each other
properties of x-rays
- electromagnetic waves
- ionise materials (knock off electrons)
- penetrate
- not deflected in electric or magnetic fields
- fluorescence (glow) in some materials
- affect photographic emulsions
- can produce interference patterns
- can cause photoemission
uses of x-rays
- x-ray photographs
- destroy cancerous cells
- detect cracks and flaws in metals
- determine thickness of materials
- can cause harm to human tissue which may lead to cancers
Rutherford’s Experiment
- bombarded gold foil with alpha particles (α-particles) (nuclei of He atoms)
- caused flashes of light called scintillations
- Most α-particles undeflected, passed straight through gold foil
- Some deflected through small angles
- Some turned back through angles greater than 90 degrees
Explanation of Rutherford’s experiment
- Nucleus v small in atom, atom is mostly empty space, so most α-particles passed straight through
- Deflection occurred if α-particles passed by nuclei as positive will deflect positive
- If α-particles about to collide head on with nuclei, they turn back
- Electrons are negatively charged and orbit nucleus
Radius of Nucleus
- From number of α-particles deflected, Rutherford estimate radius of nucelus
- Radius of nucleus in order of 10⁻¹⁵
- Radius of atom in order of 10⁻¹⁰
Atom is mostly empty space
Bohr model
- Danish scientist Niels Bohr proposed model for how electrons orbit the nucleus
- Evidence for model comes from study of emission spectrum
Emission Spectrum
- when light from luminous source undergoes dispersion the resulting pattern is called an emission spectrum
- Occurs when energy supplied to a material
- two types: continuous and line spectra
continuous spectrum
- Produced by an incandescent (makes light by being heated) solid or liquid
- all visible wavelengths emitted from red to violet
-can be shown using lightbulb and spectrometer
incandescent
makes light by being heated
line spectrum
- produced by a gas which has been given energy
- colour given off depends on gas being used
-can be shown using gas discharge tube and spectrometer
excited electrons
- electrons moved only in certain allowed orbits
- electrons will not give off electromagnetic radiation in some orbits
- energy level of electron in an orbit is fixed
- if it is supplied with energy, an electron may become excited and move to higher orbit
- this energy is quickly lost + it returns to where it was
- Normal energy called E₁, excited energy called E₂
- energy given off is difference (E₂ - E₁)
- energy given off as a photon of electromagnetic radiation of frequency f given by hf = E₂ - E₁
energy given off as a photon of electromagnetic radiation of frequency f given by
hf = E₂ - E₁
h = Planck’s constant
Laser meaning
Light Amplification by Stimulated Emission of Radiation
Lasers
Atoms are stimulated by light of same freq to emit photons of energy together making an intense beam of light - laser beam
Uses of lasers
- Telecommunications
- Medicine
- Industry
- CD players and scanners
Nucleus
- Made up of positive protons and neutral neutrons
- Atomic number (Z) = number of protons
- Mass number (A) = protons plus neutrons
- Mass number goes on top in Periodic table
- Isotopes are…
Isotopes
atoms with same number of protons but diff numbers of neutrons
Radioactivity
the disintegration or decay of the nuclei of certain atoms with the emission of one or more types of radiation
Who discovered radioactivity
Henri Becquerel
Types of nuclear radiation
Alpha radiation α
Beta radiation β
Gamma radiation γ
Experimental evidence - radiation
- Deflection in electric or magnetic fields (three types deflect at diff angles as they pass thru these fields)
- Diff types of rad can penetrate thru diff thicknesses
- Ionisation is the knocking off of electrons, radiation makes materials lose their charge.
- Can be shown that diff rad types ionise to diff degrees, shown with electroscope
Ionisation
The knocking off of electrons
Radioactive decay
- When alpha or beta particles are emitted.
- No. of protons changes.
- That means it becomes a new nucleus
- Parent nucleus
- Daughter nucleus (it may also be radioactive)
Parent nucleus
The original nucleus
Daughter nucleus
The new nucleus (it may also be radioactive
alpha radiation
- fast moving helium nuclei ejected from nuclei of radioactive atoms
- A helium nucleus is a bundle of two protons and two neutrons, each bundle called n alpha-particle
-daughter nucleus is two places to left of parent nucleus in periodic table
Beta radiation
- High speed electrons ejected from nuclei of radioactive atoms
- Each electron called a beta-particle
-atomic number of daughter nucleus is one greater than that of parent, so it is one place to right on periodic table
Gamma radiation
- High freq electromagnetic radiation with freqs above those of normal x-rays emitted from nucleus of a radioactive atom
- Gamma radiation is called gamma radiation
-Nucleus is unchanged, but it loses energy and becomes more stable
α-particle
Nature, Ionising ability, Penetrating power, Range, Charge, Relative mass, Deflection in fields
Nature/structure:
Helium nucleus
Ionising ability:
greatest
Penetrating power:
least
Range:
Few cm air, thin sheet paper
Charge:
+2
Relative mass:
4
Deflected in fields:
As + charged particle
β-particle
Nature, Ionising ability, Penetrating power, Range, Charge, Relative mass, Deflection in fields
Nature/structure:
electron
Ionising ability:
Less than alpha
Penetrating power:
More than alpha
Range:
Few mm Al
Charge:
-1
Relative mass:
0
Deflected in fields:
As - charged particle
γ-particle
Nature, Ionising ability, Penetrating power, Range, Charge, Relative mass, Deflection in fields
Nature/structure:
Em radiation
Ionising ability:
Least
Penetrating power:
Most
Range:
Many cm of lead, few feet of concrete
Charge:
Relative mass:
Deflected in fields:
undeflected
Demonstrate penetrating power of alpha, beta, gamma rays
experiment
Demonstrate ionising effect of nuclear radiation
experiment
Activity of radioactive nucleus
- Activity (A) of a radioactive substance is number of nuclei of that substance decaying per sec
- Unit is becquerel (Bq)
- 1 becquerel = 1 radioactive disintegration per second
Radioactive Decay
- Radioactive decay is a random process
- Law of Radioactive Decay
- rate of decay proportional to N
- Rate of decay = λN
- λ = radioactive decay constant or decay constant, unit is per second
Law of Radioactive Decay
The number of nuclei decaying per second (the activity) is directly proportional to the number of nuclei undecayed
Half-life
- The half-life T(1/2) of a radioactive isotope is the time taken for half of the undecayed atoms to undergo decay
- Also time taken for its activity to decrease by half
Half-life formula (in log table)
T₁/₂ = ln 2/λ
or 0.693/λ
Geiger–Müller tube
- Detects presence of radioactivity by the ionisation it produces
- Can also measure activity of radioactive sample
- Radiation passes thru thin mica window into argon gas at low pressure
- Some argon ionised, producing positive ions and electrons
- Electrons pick up speed and avalanche of electrons produced
- Pulse of current flows, which is read on a counter
Solid State Detector
- Reverse bias p-n junction connected to a counter
- Radiation strikes depletion layer, electron-hole pairs formed
- Charge carriers move due to voltage and pulse of current formed
- This is amplified, read on pulse counter
Uses of radioisotopes
- medical imaging
- medical therapy
- food irradiation
- radioactive tracers
- carbon dating
- industry
- smoke detectors
Artificial radioactivity
- most non-radioactive isotopes can be made radioactive by bombarding with neutrons
- done in nuclear reactor
- called artificial radioactive isotopes
- most of isotopes used in medicine and industry reproduced in this way
the mole
-a mole of any substance is the amount of that substance that contains as many particles as there are atoms in exactly 12 grams of carbon
This number is 6.02x10²³ (Avogadro’s Number)
Nuclear Fission
-Nuclear Fission is the splitting up of a large nucleus into two smaller nuclei of roughly the same size