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General physics
Solution8. Worked Examples9. Investigation10. Group Activity11. Individual Work12. Resources13. Reflection
📐 Worked Examples

Example 1: Frequency from Wavelength

Find frequency of green light, λ=550 nm. (c=3×108 m/s)

Calculation

1. Learning Objectives2. Language Objectives3. Key Terms3.1. Study Cards4. Glossary5. Theory6. Memorization Exercises7. Video Lesson
🎯 Learning Objectives
  • State that all electromagnetic waves are transverse waves traveling at speed c in free space
  • Recall approximate wavelength ranges of principal regions of the EM spectrum (radio → γ-rays)
  • Recall that wavelengths 400–700 nm are visible to the human eye
🗣️ Language Objectives
  • Use terms “electromagnetic spectrum,” “transverse wave,” “wavelength,” “visible” accurately
  • Describe ranges (“radio,” “microwave,” “infrared,” “visible,” “ultraviolet,” “X-ray,” “γ-ray”)
  • Explain relationships between frequency, wavelength, and speed in clear academic English
📚 Key Terms and Translations
English TermRussianKazakh
Electromagnetic waveЭлектромагнитная волнаЭлектромагниттік толқын
Transverse waveПоперечная волнаКөлденең толқын
Free spaceВакуумБос кеңістік
Wavelength (λ)Длина волны (λ)Толқын ұзындығы (λ)
Visible spectrumВидимый спектрКөрінетін спектр
γ-raysγ-лучиγ-сәулелер
🃏 Vocabulary Study Cards

Electromagnetic wave

Definition: A transverse wave of oscillating electric & magnetic fields

Speed: c ≈ 3×108 m/s in free space

Visible light

Range: 400–700 nm

Use: Detected by human eye

γ-rays

Range: <10−11 m

Use: Medical imaging, astronomy

📖 Glossary of Terms

Electromagnetic wave

Wave of oscillating electric and magnetic fields, perpendicular to direction of propagation.

Translation
Russian: Волна изменяющихся электрических и магнитных полей, перпендикулярных направлению распространения.
Kazakh: Таратылу бағытына перпендикуляр электрлік және магниттік өрістердің тербелуі.
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Visible spectrum

Portion of EM spectrum (400–700 nm) detectable by human eye.

Translation
Russian: Участок спектра 400–700 нм, видимый человеческим глазом.
Kazakh: Адам көзінің көру диапазоны, 400–700 нм.
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🔬 Theory: Electromagnetic Spectrum

All EM waves are -transverse- and travel at speed c in -free space-.

The principal regions and approximate wavelength ranges are:

  • Radio: 10−1–103 m
  • Microwave: 10−3–10−1 m
  • Infrared: 7×10−7–10−3 m
  • Visible: 4×10−7–7×10−7 m
  • Ultraviolet: 10−8–4×10−7 m
  • X-ray: 10−11–10−8 m
  • γ-ray: <10−11 m
Translation
Russian: Все ЭМ-волны поперечные и распространяются в вакууме со скоростью c. Основные диапазоны спектра: радиоволны до γ-лучей с указанными длинами волн.
Kazakh: Барлық ЭМ-толқындар көлденең және бос кеңістікте c жылдамдықпен таралады. Негізгі диапазондар: радиотолқындардан γ-сәулелерге дейін.
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Theory Questions

Easy: What makes EM waves transverse?
Answer
Their oscillations are perpendicular to propagation direction.
Medium: State the wavelength range of visible light.
Answer
400 nm to 700 nm.
Medium: Why do all EM waves travel at the same speed in free space?
Answer
Because their speed is determined by vacuum permittivity & permeability, constant for all frequencies.
Hard: Compare penetration abilities of X-rays vs radio waves and explain why.
Answer
X-rays (short λ, high energy) penetrate denser materials; radio waves (long λ) diffract more and are absorbed by conductive media.
💪 Memorization Exercises

Match Regions to Ranges

  1. Radio → ______ m
  2. Visible → ______ nm
  3. Ultraviolet → ______ nm to ______ nm
  4. γ-ray → < ______ m

Answer
1. 10−1–103 m
2. 400–700 nm
3. 10−8–400 nm
4. 10−11 m
🎥 Video Lesson

Additional Resources:

EM Spectrum Overview

Visible Light Explained

Answer
Convert: λ=550×10−9 m ⇒ f=c/λ = 3×108/5.5×10−7 ≈ 5.45×1014 Hz.
🧪 Interactive Investigation

Explore EM spectrum using PhET “Radio Waves” simulation:


Investigation Answers
Identify regions by observing transmission, reflection & absorption behavior at different frequencies.
👥 Collaborative Group Activity

Use this LearningApps quiz on EM regions:


📝 Individual Assessment
  1. Derive relationship c = f λ and explain its universality for EM waves.
  2. Calculate energy of a photon at 600 nm. (E=hf, h=6.63×10−34 Js)
  3. Compare penetration of UV vs IR in biological tissue.
  4. Explain why radio waves diffract around buildings but X-rays do not.
  5. Design an IR remote control system: choose λ and justify.
🤔 Lesson Reflection
  • Which EM region do you use most in daily life? Why?
  • How does wavelength affect applications (e.g., communication vs imaging)?
  • What challenges arise in detecting γ-rays compared to radio waves?
  • Set one goal to deepen your understanding of EM waves.