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:
- Place a flat mirror on a table.
- Hold a flashlight or a laser pointer at a known angle to the mirror.
- Mark the incident ray, the normal, and the reflected ray on a sheet of paper.
- 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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