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Chapter 1: Sound

Introduction to Sound

Sound is a mechanical wave that requires a medium to travel. It is produced by vibrating objects and propagates through compressions and rarefactions in the medium.

Nature of Sound Waves

Sound waves are longitudinal waves where particles of the medium vibrate parallel to the direction of wave propagation.

Characteristics of Sound

Frequency (f) = 1 / Time Period (T)
Speed of Sound (v) = f × λ

Speed of Sound

v = √(E / ρ)
Where: E = modulus of elasticity, ρ = density

Speed of sound at 20°C in air: 343 m/s

Reflection of Sound

Sound reflects obeying the law of reflection: angle of incidence = angle of reflection.

Ultrasound

Sound with frequency above 20,000 Hz (inaudible to humans).

Applications: Medical imaging, sonar, cleaning, welding

Chapter 2: Simple Harmonic Motion and Waves

Simple Harmonic Motion (SHM)

Motion where acceleration is directly proportional to displacement from mean position and always directed towards it.

F = -kx
Where: k = spring constant, x = displacement

Terms in SHM

f = 1/T
ω = 2πf = 2π/T
x = A sin(ωt + φ)

Simple Pendulum

T = 2π√(L/g)
Where: L = length of pendulum, g = gravitational acceleration

Wave Motion

v = f × λ
Where: v = wave speed, f = frequency, λ = wavelength

Chapter 3: Geometrical Optics

Reflection of Light

When light strikes a surface and bounces back, it is called reflection.

Laws of Reflection

  1. Angle of incidence = Angle of reflection
  2. Incident ray, reflected ray, and normal all lie in the same plane

Types of Reflection

Mirror Formula

1/f = 1/u + 1/v
Where: f = focal length, u = object distance, v = image distance

Magnification

m = -v/u = h'/h
Where: m = magnification, h' = image height, h = object height

Refraction of Light

Change in direction of light when passing from one medium to another.

Snell's Law: n₁ sinθ₁ = n₂ sinθ₂
n = c/v
Where: n = refractive index, c = speed in vacuum, v = speed in medium

Critical Angle

sin(C) = n₂/n₁
For total internal reflection when angle > critical angle

Lenses

1/f = 1/u + 1/v (Lens Formula)
P = 1/f (Power in diopters)

Convex vs Concave

Chapter 4: Electrostatics

Electric Charge

There are two types of electric charges:

Coulomb's Law

F = k(q₁q₂)/r²
Where: k = 9 × 10⁹ Nm²/C², q = charge, r = distance

Electric Field

E = F/q = kQ/r²
Direction: Away from positive, toward negative charge

Electric Potential

V = W/q = kQ/r
Unit: Volt (V) = Joule/Coulomb

Capacitor

Device that stores electric energy in an electric field.

C = Q/V
C = ε₀A/d (Parallel plate capacitor)

Energy Stored

U = ½CV² = ½QV² = Q²/2C

Chapter 5: Current Electricity

Electric Current

I = Q/t
Unit: Ampere (A)

Ohm's Law

V = IR
Where: V = voltage, I = current, R = resistance

Resistance

R = ρL/A
Where: ρ = resistivity, L = length, A = cross-sectional area

Resistivity

Resistance of a conductor of unit length and unit cross-section.

Series and Parallel Circuits

Series

R_total = R₁ + R₂ + R₃
I_same = I₁ = I₂ = I₃

Parallel

1/R_total = 1/R₁ + 1/R₂ + 1/R₃
V_same = V₁ = V₂ = V₃

Electric Power

P = VI = I²R = V²/R
Unit: Watt (W)

Joule's Law of Heating

H = I²Rt
Heat produced in a conductor

Chapter 6: Electromagnetism

Magnetic Field

Region around a magnet where magnetic force can be detected.

Biot-Savart Law

B = μ₀I/2πr
For straight conductor

Force on Current-Carrying Conductor

F = BIL sinθ
Where: B = magnetic field, I = current, L = length

Fleming's Left-Hand Rule

Thumb = Motion, First finger = Magnetic field, Middle finger = Current

Electromagnetic Induction

Production of EMF when magnetic flux changes through a coil.

ε = -dΦ/dt
Faraday's Law

Lenz's Law

Direction of induced EMF opposes the change causing it.

Transformers

V₁/V₂ = N₁/N₂ = I₂/I₁
Step-up: N₂ > N₁
Step-down: N₂ < N₁

AC Generator

ε = NBAω sin(ωt)
Converts mechanical energy to electrical energy

Chapter 7: Information and Communication Technology

Information and Communication Technology (ICT)

Use of technology for gathering, storing, retrieving, and communicating information.

Computer Fundamentals

Number Systems

Communication Technology

Data Storage Units

1 Byte = 8 bits
1 KB = 1024 Bytes
1 MB = 1024 KB
1 GB = 1024 MB
1 TB = 1024 GB

Chapter 8: Atomic and Nuclear Physics

Structure of Atom

Atomic Number and Mass Number

Radioactivity

Spontaneous emission of particles or radiation from unstable nuclei.

Types of Radiation

Half-Life

N = N₀(1/2)^(t/T)
Where: N = remaining nuclei, T = half-life

Nuclear Reactions

E = mc²
Einstein's mass-energy equivalence

Nuclear Fission

Splitting of heavy nucleus (e.g., Uranium-235) into lighter nuclei with release of energy.

Nuclear Fusion

Combining of light nuclei (e.g., Hydrogen) to form heavier nucleus with energy release. Powers the sun.

Key difference: Fusion releases MORE energy than fission but requires extremely high temperatures.
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