Exhaustive IB Physics Diploma Course Preparation Guide

Introduction to the IB Diploma Programme (DP) Physics

Programme Structure

The Diploma Programme is a pre-university course for students aged 16–19, emphasizing intercultural competence, communication, and critical thinking. The Physics course is categorized into four main sections:

1. Core Syllabus: Common to both Standard Level (SL) and Higher Level (HL).

2. Additional Higher Level (AHL): Extensions of core topics specifically for HL students.

3. Options: One choice from four possible specialized topics.

4. Internal Assessment (IA): An experimental project accounting for $20\%$ of the final grade.

Subject Levels and Requirements

• Standard Level (SL): Requires $150$ teaching hours. Covers Core material + one Option (SL level) + IA + Group 4 Project.

• Higher Level (HL): Requires $240$ teaching hours. Covers Core + AHL + one Option (HL level) + IA + Group 4 Project.

Assessment Overview

• Paper 1: Multiple-choice questions (Core for SL; Core + AHL for HL). Worth $20\%$.

• Paper 2: Short and extended written answers. Worth $40\%$ (SL) or $36\%$ (HL).

• Paper 3: Section A (data-based/experimental) and Section B (Option-specific). Worth $20\%$ (SL) or $24\%$ (HL).

• Final Grades: Ranges from $1$ (lowest) to $7$ (highest).

Chapter 1: Motion and Force

1.1 Fundamentals of Motion

Physical Quantities and Units (SI System)

• Mass: Kilogram ($kg$)

• Length: Metre ($m$)

• Time: Second ($s$)

• Electric Current: Ampère ($A$)

• Temperature: Kelvin ($K$)

• Amount of Substance: Mole ($mol$)

Scalars and Vectors

• Scalar: A quantity with magnitude only (e.g., distance, speed, time, energy, mass).

• Vector: A quantity with magnitude and direction (e.g., displacement, velocity, acceleration, force, momentum).

Distance vs. Displacement

• Distance: Total path length travelled (scalar).

• Displacement ($s$): Vector change in position from start to finish.

Speed and Velocity

• Average Speed: $\frac{\text{Total Distance}}{\text{Total Time Taken}}$

• Average Velocity: $\frac{\text{Change in Displacement}}{\text{Time Taken}}$

• Instantaneous Velocity: The velocity of an object at a specific point in time, derived from the gradient of a displacement-time graph.

Graphs of Motion

• Distance-Time Graphs: The gradient equals the speed.

• Speed-Time Graphs: The gradient equals the acceleration, and the area under the curve equals the total distance travelled.

• Acceleration ($a$): The rate of change of velocity: $a = \frac{\Delta v}{t}$. Units are $m \, s^{-2}$.

Kinematic (Suvat) Equations

These apply only under uniform (constant) acceleration:

1. $v = u + at$

2. $s = ut + \frac{1}{2}at^{2}$

3. $v^{2} = u^{2} + 2as$

4. $s = \frac{(v + u)}{2} \times t$

1.2 Dynamics: Force and Newton's Laws

Newton's Laws of Motion

1. First Law (Inertia): An object remains at rest or moves with constant velocity unless acted upon by a resultant external force.

2. Second Law: The acceleration of an object is proportional to the resultant force and inversely proportional to its mass: $F = ma$.

3. Third Law: When body A exerts a force on body B, body B exerts an equal and opposite force on body A.

Mass and Weight

• Mass: Amount of substance (kg). Constant regardless of location.

• Weight ($W$): Gravitational pull exerted by Earth: $W = mg$, where $g \approx 9.81 \, m \, s^{-2}$.

1.3 Work, Energy, and Power

Work and Kinetic Energy

• Work Done ($W$): $W = F \times s \times \cos(\theta)$. Measured in Joules ($J$).

• Kinetic Energy ($E_{k}$): $E_{k} = \frac{1}{2}mv^{2}$.

• Gravitational Potential Energy (GPE): $\Delta E_{p} = mgh$.

Conservation of Energy and Power

• Principle of Conservation of Energy: Energy cannot be created or destroyed, only transferred between stores (chemical, kinetic, thermal, etc.).

• Power ($P$): The rate of energy transfer: $P = \frac{E}{t} = Fv$. Measured in Watts ($W$).

• Efficiency: $\text{Efficiency} = \frac{\text{Useful Work Out}}{\text{Total Energy In}}$.

1.4 Momentum and Impulse

• Momentum ($p$): $p = mv$. Units: $kg \, m \, s^{-1}$.

• Impulse: $F\Delta t = \Delta p$. Change in momentum.

• Conservation of Momentum: Total momentum in a closed system remains constant.

• Collisions:

  • Elastic: Kinetic energy is conserved.

  • Inelastic: Kinetic energy is transferred to other forms (e.g., heat or sound).

Chapter 2: Electric Charge at Work

2.1 Electric Fields and Current

• Charge ($Q$): Measured in Coulombs ($C$). Like charges repel; opposite charges attract.

• Electric Field: A region where a charged object experiences a force. Represented by field lines pointing from positive to negative.

• Electric Current ($I$): The rate of flow of charge: $I = \frac{\Delta Q}{\Delta t}$. Measured in Ampères ($A$).

• Potential Difference (pd): Energy transferred per unit charge: $V = \frac{W}{Q}$. Measured in Volts ($V$).

2.2 Resistance and Circuits

• Ohm's Law: For certain conductors at constant temperature, $V \propto I$.

• Resistance ($R$): $R = \frac{V}{I}$. Measured in Ohms ($\Omega$).

• Resistor Combinations:

  • Series: $R_{\text{total}} = R_{1} + R_{2} + \dots$

  • Parallel: $\frac{1}{R_{\text{total}}} = \frac{1}{R_{1}} + \frac{1}{R_{2}} + \dots$

2.3 Magnetism and Induction

• Magnetic Fields: Created by moving charges or permanent magnets. Field lines point North to South.

• The Catapult Effect: A current-carrying wire in a magnetic field experiences a force: $F = BIl \sin(\theta)$.

• Electromagnetic Induction: Induced emf occurs when there is relative motion between a conductor and a magnetic field.

• Transformers: $\frac{V_{p}}{V_{s}} = \frac{N_{p}}{N_{s}}$. High-voltage transmission reduces energy loss in cables ($P_{\text{loss}} = I^{2}R$).

Chapter 3: Thermal Physics

3.1 States of Matter and Internal Energy

• Internal Energy: The total of the potential and kinetic energies of the particles in a substance.

• Temperature: A measure of the average kinetic energy per particle.

• Pressure ($P$): Force per unit area ($P = \frac{F}{A}$). In gases, pressure stems from particle collisions with container walls.

3.2 Ideal Gas Laws

1. Boyle's Law: $PV = \text{constant}$ (at constant temperature).

2. Charles's Law: $V \propto T$ (at constant pressure).

3. Pressure Law: $P \propto T$ (at constant volume).

• Absolute Zero: $0 \, K = -273 \, ^{\circ}C$ ($KE = 0$).

3.3 Heating and Phase Changes

• Specific Heat Capacity ($c$): Energy required to raise $1 \, kg$ of substance by $1 \, K$: $Q = mc\Delta T$.

• Specific Latent Heat ($L$): Energy required to change the phase of $1 \, kg$ of substance at constant temperature: $Q = mL$.

Chapter 4: Waves

4.1 Wave Characteristics

• Transverse Waves: Oscillations are perpendicular to energy travel (e.g., light).

• Longitudinal Waves: Oscillations are parallel to energy travel (e.g., sound).

• Wave Speed Equation: $c = f\lambda$.

• Intensity ($I$): $I \propto A^{2}$ and $I \propto \frac{1}{r^{2}}$.

4.2 Light and Refraction

• Refraction: The change in direction of a wave as it crosses a boundary between media of different densities.

• Refractive Index ($n$): $n = \frac{c}{v} = \frac{\sin(\theta_{1})}{\sin(\theta_{2})}$.

• Total Internal Reflection: Occurs when light travels from a denser to a less dense medium at an angle greater than the critical angle ($\sin(c) = \frac{1}{n}$).

Chapter 5: Atomic and Nuclear Physics

5.1 The Atom

• Nucleus: Contains protons (positive) and neutrons (neutral). Surrounded by an electron cloud.

• Nuclide Notation: ${}^{A}_{Z}X$, where $A$ is the Nucleon number (mass) and $Z$ is the Proton number (atomic).

• Isotopes: Atoms of the same element with different numbers of neutrons.

5.2 Radioactivity

• Alpha ($\alpha$): Helium nucleus (${}^{4}_{2}He$). High ionizing, low penetration.

• Beta ($\beta$): Fast-moving electron. Medium ionizing and penetration.

• Gamma ($\gamma$): High-frequency EM radiation. Low ionizing, very high penetration.

• Half-life ($T_{1/2}$): The time taken for the activity or number of undecayed nuclei in a sample to halve.

Chapter 6: Energy Resources

6.1 Thermal Energy Transfer

1. Conduction: Energy transfer through particle collisions (solids).

2. Convection: Energy transfer through bulk fluid movement (liquids/gases).

3. Radiation: EM waves (can travel through a vacuum).

6.2 Energy Generation

• Non-renewable: Fossil fuels and nuclear fission ($U-235$ splitting to release energy).

• Renewable: Solar (PV and thermal), wind ($P = \frac{1}{2}\rho A v^{3}$), hydroelectric, and wave.

• Nuclear Fusion: Combining light nuclei (hydrogen) into helium, releasing energy according to $E = mc^{2}$.