Physics notes · Chapter 11 of 11
Modern & Nuclear Physics
16 sections, 82 flashcards. Open a card to check your answer, or revise them in the app with spaced revision.
The Atom and Its Sub-Atomic Particles
- An atom is the smallest unit of an element that keeps its properties: a tiny, heavy nucleus with light electrons moving around it in shells.
- The nucleus holds protons (positive) and neutrons (no charge), together called nucleons. An atom is neutral because its protons equal its electrons.
- Sub-Atomic Particles
| Particle | Charge | Location |
|---|---|---|
| Proton | +1 (positive) | Nucleus |
| Neutron | 0 (neutral) | Nucleus |
| Electron | -1 (negative) | Shells/orbits |
Check yourself
Define an atom
The smallest unit of an element that still keeps the element's properties.
Basic structure of an atom
A tiny heavy central nucleus with light electrons moving around it in shells.
What does the nucleus hold?
Protons (positive charge) and neutrons (no charge), together called nucleons.
Why is an atom electrically neutral?
The number of protons equals the number of electrons.
Where is almost all the atom's mass?
In the nucleus — electrons are extremely light.
History of Atomic Models
- J. J. Thomson (1897) discovered the electron and gave the plum-pudding model (electrons in a positive sphere).
- Rutherford (1911), from the gold-foil experiment, gave the nuclear model: mass and positive charge in a tiny nucleus.
- Bohr (1913): electrons revolve only in fixed energy levels (shells) K, L, M, N, n = 1, 2, 3, 4.
- Chadwick (1932) discovered the neutron. Einstein gave the theory of relativity and explained the photoelectric effect.
- History of Atomic Models
| Scientist | Year | Contribution |
|---|---|---|
| J. J. Thomson | 1897 | Electron, plum-pudding model |
| Rutherford | 1911 | Nucleus, nuclear model |
| Niels Bohr | 1913 | Fixed energy shells |
| Chadwick | 1932 | Neutron |
Check yourself
J. J. Thomson (1897)
Discovered the electron and gave the plum-pudding model (electrons stuck in a positive sphere).
Ernest Rutherford (1911)
Did the gold-foil experiment and gave the nuclear model (mass and positive charge in a tiny nucleus).
Niels Bohr (1913)
Said electrons revolve only in fixed energy levels (shells) K, L, M, N = n 1, 2, 3, 4.
James Chadwick (1932)
Discovered the neutron, completing the three-particle picture.
Albert Einstein
Gave the Theory of Relativity and explained the photoelectric effect.
Atomic Number, Mass Number and Notation
- Atomic number (Z): the number of protons, which decides the element. Mass number (A): protons + neutrons. Neutrons = A − Z.
- Atomicity: the number of atoms in one molecule: He is monatomic, O₂ diatomic, O₃ triatomic.
- Atomic Number and Mass Number
| Quantity | Meaning | Formula |
|---|---|---|
| Atomic number Z | Protons | = no. of protons |
| Mass number A | Nucleons | protons + neutrons |
| Neutrons | Neutron count | A − Z |
Check yourself
Define atomic number (Z)
The number of protons; it decides the identity of the element.
Define mass number (A)
Protons + neutrons (total nucleons).
How do you find the neutron count?
Neutrons = A − Z.
Define atomicity, with examples
The number of atoms in one molecule: He is monatomic, O₂ diatomic, O₃ triatomic.
Isotopes, Isobars and Isotones
- Isotopes: the same Z, different A: one element with different numbers of neutrons. Hydrogen: protium, deuterium, tritium (0, 1, 2 neutrons). Carbon: C-12, C-13, C-14 (radio-carbon dating). Chlorine: Cl-35, Cl-37.
- Isobars: different elements with the same A, e.g. argon-40 and calcium-40. Isotones: the same number of neutrons, different Z and A.
- Isotopes, Isobars, Isotones
| Term | Same | Different |
|---|---|---|
| Isotopes | Atomic no. (Z) | Mass no. (A) |
| Isobars | Mass no. (A) | Atomic no. (Z) |
| Isotones | Neutron no. | Z and A |
Check yourself
Define isotopes
Same atomic number Z, different mass number A — same element, different neutrons.
Name the hydrogen isotopes
Protium, deuterium and tritium, with 0, 1 and 2 neutrons.
Carbon and chlorine isotopes
Carbon: C-12, C-13, C-14 (radio-carbon dating); chlorine: Cl-35 and Cl-37.
Define isobars
Different elements with the same mass number A, e.g. argon-40 and calcium-40.
Define isotones
Atoms having the same number of neutrons but different Z and A.
Memory trick
Isotope same protons, isobar same mass, isotone same neutrons.
Atomic Mass and the Atomic Mass Unit
- The unified atomic mass unit (u or amu): 1/12 of the mass of a carbon-12 atom, so a C-12 atom is exactly 12 u; the carbon-12 standard was adopted in 1961 (hydrogen was used before).
- Gram atomic mass (molar mass): the same number with the unit changed from u to grams. One mole contains about 6.022 × 10²³ atoms (the Avogadro number).
Check yourself
Define the atomic mass unit
The unified atomic mass unit (amu or u) — a special unit for very light atoms.
Define 1 u
1/12 of the mass of one carbon-12 atom; a C-12 atom is exactly 12 u.
When was the carbon-12 standard adopted?
1961 (earlier hydrogen was used).
Define gram atomic mass (molar mass)
The same number with unit changed from u to gram.
What is the Avogadro number?
One mole of atoms equals about 6.022 × 10²³ atoms.
The Nuclear (Strong) Force
- The nuclear (strong) force binds nucleons together despite the repulsion between protons; it is much stronger than that electric (Coulomb) repulsion.
- It is short-range, acting only across the nucleus, and charge independent: equal between proton-proton, neutron-neutron and proton-neutron pairs.
Check yourself
Why doesn't the nucleus fly apart?
The nuclear force (strong force) binds nucleons together despite proton repulsion.
Range of the strong force
Short-range, acting only across the tiny distance inside the nucleus.
Strong force vs electric repulsion
It is much stronger than the electric (Coulomb) repulsion between protons.
Is the strong force charge independent?
Yes — it acts equally between proton-proton, neutron-neutron and proton-neutron pairs.
Rank among the fundamental forces
The strongest of the four fundamental forces of nature.
Mass Defect, Binding Energy and E = mc²
- Mass defect: a nucleus weighs slightly less than its separate nucleons. Binding energy is the energy released, which holds the nucleus together; by E = mc² the lost mass becomes energy.
- Higher binding energy per nucleon means a more stable nucleus; iron is among the most stable. Fission and fusion both release energy because both increase binding energy per nucleon.
Check yourself
Define mass defect
The nucleus mass is slightly less than the total mass of its nucleons; this loss is the mass defect.
Define binding energy
The released energy that holds the nucleus together.
Higher binding energy per nucleon means…
A more stable nucleus; iron is among the most stable.
Why do both fission and fusion release energy?
Both increase binding energy per nucleon.
Einstein's relation
E = mc² — the lost mass is converted into energy.
Radioactivity and Its Rays
- Radioactivity: the spontaneous emission of radiation by unstable heavy nuclei, discovered by Henri Becquerel. Units: the becquerel (SI) and the older curie.
In an electric or magnetic field alpha bends one way, beta the opposite way, and gamma passes undeflected.
- Radioactive Rays
| Ray | Charge | Penetration |
|---|---|---|
| Alpha | Positive (He nucleus) | Lowest |
| Beta | Negative (electron) | Medium |
| Gamma | Neutral (EM wave) | Highest |
Check yourself
Define radioactivity
The spontaneous emission of radiation by unstable heavy nuclei, discovered by Henri Becquerel.
Define alpha rays
Positively charged helium nuclei (2 protons + 2 neutrons) — the positive particle in PYQs.
Define beta rays
Fast-moving negatively charged electrons.
Define gamma rays
Neutral, high-energy electromagnetic waves with the highest penetrating power.
Behaviour in an electric or magnetic field
Alpha bends one way, beta the opposite way, and gamma goes undeflected.
Units of radioactivity
SI unit is the becquerel; the older unit is the curie.
Nuclear Fission and Nuclear Reactors
- Nuclear fission: a heavy nucleus (such as uranium-235) splits into lighter ones, releasing huge energy; the extra neutrons split more nuclei in a chain reaction.
- Fuels: uranium-235 and plutonium-239. A moderator (heavy water or graphite) slows neutrons; heavy water is both moderator and coolant. Control rods of cadmium or boron absorb extra neutrons.
- Parts of a Nuclear Reactor
| Reactor part | Material | Function |
|---|---|---|
| Fuel | U-235, Pu-239 | Undergoes fission |
| Moderator | Heavy water, graphite | Slows neutrons |
| Control rod | Cadmium, boron | Absorbs neutrons |
| Coolant | Heavy water, gas | Removes heat |
Check yourself
Define nuclear fission
The splitting of a heavy nucleus (like uranium-235) into lighter nuclei, releasing huge energy.
What is a chain reaction?
Fission produces extra neutrons that split more nuclei.
Atom bomb vs nuclear reactor
The atom bomb works on uncontrolled fission; a nuclear reactor uses controlled fission.
What does a moderator do?
Slows down neutrons — e.g. heavy water or graphite. Heavy water acts as both moderator and coolant.
What do control rods do?
Cadmium or boron rods absorb extra neutrons to control the reaction.
Common nuclear fuels
Uranium-235 and plutonium-239.
Nuclear Fusion
- Nuclear fusion: light nuclei (such as hydrogen) join into a heavier one, releasing enormous energy; it needs very high temperature and pressure.
- The Sun and stars shine by fusing hydrogen into helium.
- Fusion gives more energy per unit mass than fission and less radioactive waste.
In December 2022 the Lawrence Livermore National Laboratory (USA) claimed a fusion ignition breakthrough.
- Fission vs Fusion
| Feature | Fission | Fusion |
|---|---|---|
| Process | Heavy nucleus splits | Light nuclei join |
| Condition | Easy to start | Very high temp/pressure |
| Example | Atom bomb, reactor | Hydrogen bomb, Sun |
Check yourself
Define nuclear fusion
The joining of light nuclei (like hydrogen) to form a heavier nucleus, releasing enormous energy.
What conditions does fusion need?
Very high temperature and pressure.
Where do the Sun and stars get their energy?
From fusion of hydrogen into helium.
Which bomb works on fusion?
The hydrogen bomb — uncontrolled thermonuclear fusion.
Fusion breakthrough of December 2022
The Lawrence Livermore National Laboratory (USA) claimed a fusion ignition breakthrough.
Fusion vs fission — energy and waste
Fusion releases more energy per unit mass and produces less radioactive waste.
Photoelectric Effect and Solar Cells
- Photoelectric effect, explained by Einstein: a metal emits electrons when light, which comes in packets called photons, falls on it.
- A photoelectric cell turns light into electric current, used in automatic doors, burglar alarms and light meters. Photovoltaic (solar) cells turn sunlight directly into electricity.
Check yourself
What does a photoelectric cell (photocell) do?
Converts light energy into electrical energy / current.
Light behaves as…
Packets of energy called photons.
What do photovoltaic (solar) cells do?
Convert solar energy directly into electric energy.
Where are photocells used?
Automatic doors, burglar alarms and light meters.
Who explained the photoelectric effect?
Einstein — the emission of electrons from a metal when light falls on it.
X-Rays and Their Uses
- X-rays were discovered by Wilhelm Roentgen in 1895. They pass through soft tissue, so they photograph bones and show fractures.
- Uses: medical imaging, airport security and the study of crystals.
Check yourself
Who discovered X-rays and when?
Wilhelm Roentgen in 1895.
Are X-rays deflected by electric or magnetic fields?
No — they are high-energy EM waves and are chargeless.
What can X-rays penetrate?
Soft tissue — used to photograph bones and detect fractures.
Three uses of X-rays
Medical imaging, airport security and crystal study.
Lasers and Their Applications
- LASER = Light Amplification by Stimulated Emission of Radiation; it works on stimulated emission.
- A laser beam is intense, highly coherent, monochromatic (one colour) and highly directional, travelling far without spreading.
- Uses: surgery, CD/DVD players, barcode scanners, cutting and communication.
Check yourself
LASER stands for…
Light Amplification by Stimulated Emission of Radiation.
Properties of a laser beam
Intense, highly coherent and monochromatic (single-colour), and highly directional — travels long distances without spreading.
What principle does a laser work on?
Stimulated emission of light.
Uses of lasers
Surgery, CD/DVD players, barcode scanners, cutting and communication.
Medical and Industrial Uses of Radiation
- Radiation also preserves food and sterilises medical equipment.
Cobalt-60: radiotherapy for cancer (a gamma source).
Phosphorus-32: blood cancer (leukaemia).
Iodine-131: the thyroid gland.
Carbon-14: radio-carbon dating of old fossils and objects.
- Medical Isotopes and Their Uses
| Isotope | Use |
|---|---|
| Cobalt-60 | Cancer therapy |
| Phosphorus-32 | Blood cancer |
| Iodine-131 | Thyroid treatment |
| Carbon-14 | Carbon dating |
Check yourself
What are infrared rays used for medically?
To give relief from body aches and muscle pain (heat therapy).
Cobalt-60 is used for…
Radiotherapy to treat cancer (a gamma source).
Phosphorus-32 is used for…
The treatment of blood cancer (leukaemia).
Iodine-131 is used for…
Treating and studying the thyroid gland.
Carbon-14 is used for…
Radio-carbon dating of old fossils and objects.
Other uses of radiation
To preserve food and to sterilise medical equipment.
Cosmic Rays, Pulsars and Space Physics
- A neutron star is the extremely dense remnant of a massive star that exploded; a pulsar is a rapidly rotating neutron star sending out regular pulses.
- A black hole has gravity so strong that even light cannot escape.
Check yourself
Define cosmic rays
High-energy charged particles (mostly protons) reaching Earth from outer space.
Are cosmic rays deflected by magnetic fields?
Yes — being charged, they are deflected, including by Earth's field.
Define a pulsar
A rapidly rotating neutron star that emits regular pulses of radiation.
Define a neutron star
An extremely dense remnant left after a massive star explodes.
Define a black hole
A region with gravity so strong that even light cannot escape.
Order of Speed and Quick Comparisons
- Light, gamma rays and X-rays all travel at the speed of light, about 3 × 10⁸ m/s.
Positive: alpha; negative: the electron (beta); no charge: the neutron.
Penetrating power: gamma > beta > alpha.
Check yourself
Which travel at the speed of light?
Light, gamma rays and X-rays — about 3 × 10⁸ m/s.
Highest velocity among alpha, beta, gamma and light
Gamma rays / light.
Heaviest and slowest emitted particle
Alpha particles; gamma rays are fastest.
Charge quick-check
Positive emitted particle = alpha particle; negatively charged = electron (beta); zero charge = neutron.
Penetrating power order
gamma > beta > alpha.
All 11 chapters of Physics notes
- Units, Measurement & Physical Quantities11 sections
- Motion, Laws of Motion & Forces13 sections
- Gravitation11 sections
- Work, Power, Energy & Conservation13 sections
- Properties of Matter & Fluids12 sections
- Heat & Thermodynamics12 sections
- Waves & Sound11 sections
- Light & Optics15 sections
- Current Electricity13 sections
- Magnetism & Electromagnetism15 sections
- Modern & Nuclear Physics16 sections