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IMAT Physics Formula Compendium

A Deep Research-Based Guide

Introduction

This report provides a concise and comprehensive summary of the formulas required for the Physics section of the IMAT exam. It aims to explain essential concepts, formulas, and relevant diagrams or examples in key areas such as Physical Quantities and Measurement, Kinematics, Dynamics, Fluid Mechanics, Thermodynamics, and Electricity & Electromagnetism in a clear and understandable manner. It is structured to facilitate efficient learning and retention, focusing on core concepts frequently tested in the IMAT Physics syllabus.

1. Physical Quantities and Measurement

This section lays the foundation for all physics topics by defining fundamental concepts related to measurement, units, and vector operations.

1.1 Basic and Derived Physical Quantities

Physics is built on accurately defined quantities, categorized into independent basic physical quantities and derived physical quantities.

  • Length: meter (m)
  • Mass: kilogram (kg)
  • Time: second (s)
  • Electric Current: ampere (A)
  • Thermodynamic Temperature: kelvin (K)
  • Amount of Substance: mole (mol)
  • Luminous Intensity: candela (cd)

1.2 Systems of Units (SI)

The International System of Units (SI) is the globally recognized standard.

Table 1: SI Basic and Common Derived Units
QuantityUnit (Symbol)Expression in Base Units
Basic Units
Lengthmeter (m)
Masskilogram (kg)
Timesecond (s)
Electric Currentampere (A)
Thermodynamic Temperaturekelvin (K)
Amount of Substancemole (mol)
Luminous Intensitycandela (cd)
Common Derived Units
Velocitymeter per second (m/s)
Accelerationmeter per second squared (m/s²)
Forcenewton (N)
Pressurepascal (Pa)
Energyjoule (J)
Powerwatt (W)
Chargecoulomb (C)
Electrical Resistanceohm (Ω)
Frequencyhertz (Hz)
Electric Potentialvolt (V)
Magnetic Flux Densitytesla (T)
Magnetic Fluxweber (Wb)
Capacitancefarad (F)
Densitykilogram per cubic meter (kg/m³)

1.3 Vector Operations

Head-to-Tail Vector Addition DiagramVector AVector BResultant R = A + B

📊 Diagram: Vector A and vector B added head-to-tail.

Parallelogram Vector Addition DiagramVector PVector QResultant Rθ

📊 Diagram: The Parallelogram method for vector addition.

2. Kinematics

Velocity-Time graph for Uniform Accelerationt (time)v (velocity)u (initial)v (final)Slope = aArea = displacement

📊 Diagram: Velocity-time graph for constant acceleration.

2.4 Uniform Circular Motion

Uniform Circular Motion Diagramva_c

📊 Diagram: Centripetal acceleration vector (a_c) directed toward the center.

2.6 Motion Graphs

SHM Displacement, Velocity, and Acceleration GraphstDisplacement (x)Velocity (v)Acceleration (a)

📊 Diagram: SHM periodic functions.

3. Dynamics

3.2 Examples of Forces

Free-Body Diagram of a book on a tableF_normF_grav

📊 Diagram: Free-body diagram of a book on a table.

3.3 Moment of Force

Diagram of Torque (Moment of Force)PivotFr (moment arm)Torque (M)

📊 Diagram: Torque calculation (M=Fr).

3.5 Work, Energy, and Power

Work done by a force at an angleFd (displacement)θ

📊 Diagram: Work done by a force at an angle.

4. Fluid Mechanics

Hydraulic System demonstrating Pascal's PrincipleF₁A₁F₂A₂

📊 Diagram: Hydraulic system demonstrating Pascal's principle.

Archimedes' Principle and Buoyancy DiagramBuoyant ForceWeight

📊 Diagram: Upward buoyant force.

4.3 Fluid Dynamics

Venturi tube demonstrating Bernoulli's PrincipleP₁, v₁, A₁High PressureLow VelocityP₂, v₂, A₂Low PressureHigh Velocity

📊 Diagram: Venturi tube demonstrating Bernoulli's Principle.

5. Thermodynamics

Modes of Heat Transfer DiagramRadiationConductionConvection

📊 Diagram: Conduction, convection, and radiation.

6. Waves

6.2 Sound Waves and Doppler Effect

The Doppler EffectSourcev_sObserver 1Higher f'Observer 2Lower f'

📊 Diagram: Wave fronts compression.

6.3 Law of Refraction

Snell's Law of RefractionMedium 1 (n₁)Medium 2 (n₂)θ₁θ₂

📊 Diagram: Wave bending at boundary.

7. Electricity & Electromagnetism

7.1 Charge, Electric Field, and Potential

Coulomb's Law+q₁-q₂rFF

📊 Diagram: Coulomb's Law.

Electric Field of a Positive Point Charge+E

📊 Diagram: Electric field lines.

7.4 Resistors in Series and Parallel

VR₁R₂

📊 Diagram: Series circuit.

VR₁R₂

📊 Diagram: Parallel circuit.

7.7 Magnetic Fields

Lorentz Force (Right-Hand Rule)B (Field)v (velocity)F (Force)(B is into page)

📊 Diagram: Lorentz Force.

8. Atomic Physics

8.1 Radioactive Decay

Radioactive Decay CurvetN(t)N₀TN₀/22TN₀/4

📊 Diagram: Exponential decay curve.

9. Practice & Exercises

To solidify your understanding of these physical principles, we provide a variety of practice materials. Engaging with original practice problems is essential for mastering the application of formulas in the IMAT context.

Interactive Drills

Our high-intensity interactive drill system allows you to test your knowledge with instant feedback.

Original Practice Units (S1-S6)

Access the original unit-by-unit practice modules. Each unit contains targeted problems and detailed explanations.

Master Challenge

For a comprehensive review, attempt the standalone Physics Master Exam.

🏆 Physics Master Challenge Exam

Conclusion

Success in the IMAT Physics section requires mastering fundamental formulas and concepts. Regular review and application are recommended to strengthen both theoretical knowledge and practical problem-solving skills.

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