Use simple constructions, measurements and calculations for reflection by plane mirrors

3.2.1 Reflection of Light

Key Concepts

When light rays hit a smooth surface, they bounce back instead of passing through. This is called reflection. In a plane mirror (a flat mirror), the reflected ray behaves in a very predictable way.

  • Incident ray (the incoming ray) is denoted by $i$.
  • Reflected ray (the outgoing ray) is denoted by $r$.
  • Both rays make the same angle with the normal (an imaginary line perpendicular to the surface).

Reflection Law

🔍 The law of reflection states that the angle of incidence equals the angle of reflection:

$$\theta_i = \theta_r$$

Both angles are measured from the normal. This simple rule lets us predict where a reflected ray will go.

Simple Construction

✏️ Build a basic experiment to see reflection in action:

  1. Place a flat mirror on a table.
  2. Hold a flashlight or a laser pointer at a known angle to the mirror.
  3. Mark the incident ray, the normal, and the reflected ray on a sheet of paper.
  4. Use a protractor to measure the angles.

?? If your measurements show that the two angles are equal, you’ve confirmed the law of reflection!

Measurements & Calculations

📏 In a plane mirror, the image appears to be the same distance behind the mirror as the object is in front of it.

Let $d_o$ be the object distance and $d_i$ be the image distance:

$$d_i = d_o$$

Example: If a book is 30 cm from the mirror, the image appears 30 cm behind the mirror.

Object Distance ($d_o$) Image Distance ($d_i$)
10 cm 10 cm
25 cm 25 cm
50 cm 50 cm

Exam Tips

  • 📚 Diagram accuracy matters: label all rays, normals, and angles clearly.
  • 🧮 Use the law of reflection to find unknown angles.
  • 🔢 Remember $d_i = d_o$ for plane mirrors when calculating image positions.
  • 📝 Show all steps in calculations; partial credit is awarded for clear reasoning.
  • 💡 Analogy trick: Think of a hallway mirror – the image is just behind the mirror, not in front.

Revision

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