Physics notes · Chapter 11 of 11

Modern & Nuclear Physics

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The Atom and Its Sub-Atomic Particles

Trap
Almost all of an atom's mass is in the nucleus; electrons are extremely light.
ParticleChargeLocation
Proton+1 (positive)Nucleus
Neutron0 (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

ScientistYearContribution
J. J. Thomson1897Electron, plum-pudding model
Rutherford1911Nucleus, nuclear model
Niels Bohr1913Fixed energy shells
Chadwick1932Neutron

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

QuantityMeaningFormula
Atomic number ZProtons= no. of protons
Mass number ANucleonsprotons + neutrons
NeutronsNeutron countA − 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

Memory tip
Memory trick: isotope, same protons; isobar, same mass; isotone, same neutrons.
TermSameDifferent
IsotopesAtomic no. (Z)Mass no. (A)
IsobarsMass no. (A)Atomic no. (Z)
IsotonesNeutron 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

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

Trap
The strong force is the strongest of the four fundamental forces.

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

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

Trap
Alpha rays: positive helium nuclei (2 protons + 2 neutrons). Beta rays: fast electrons (negative). Gamma rays: neutral high-energy EM waves with the highest penetrating power.
In an electric or magnetic field alpha bends one way, beta the opposite way, and gamma passes undeflected.
RayChargePenetration
AlphaPositive (He nucleus)Lowest
BetaNegative (electron)Medium
GammaNeutral (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

Trap
The atom bomb runs on uncontrolled fission; a nuclear reactor on controlled fission.
Reactor partMaterialFunction
FuelU-235, Pu-239Undergoes fission
ModeratorHeavy water, graphiteSlows neutrons
Control rodCadmium, boronAbsorbs neutrons
CoolantHeavy water, gasRemoves 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

Trap
The hydrogen bomb works on uncontrolled fusion.
In December 2022 the Lawrence Livermore National Laboratory (USA) claimed a fusion ignition breakthrough.
FeatureFissionFusion
ProcessHeavy nucleus splitsLight nuclei join
ConditionEasy to startVery high temp/pressure
ExampleAtom bomb, reactorHydrogen 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

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

Trap
X-rays are not deflected by electric or magnetic fields: they are chargeless high-energy EM waves.

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

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

Trap
Infrared: relief from body aches and muscle pain (heat therapy).
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.
IsotopeUse
Cobalt-60Cancer therapy
Phosphorus-32Blood cancer
Iodine-131Thyroid treatment
Carbon-14Carbon 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

Trap
Cosmic rays are high-energy charged particles (mostly protons) from outer space; being charged, they are deflected by magnetic fields, the Earth's included.

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

Trap
Fastest: gamma rays and light. Heaviest and slowest: alpha particles.
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.

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