REFLECTION AT CURVED SURFACES
Reflection at curved surfaces, a topic in form two physics, involves studying how light reflects off curved mirrors. Unlike plane mirrors, curved mirrors can ca...
Reflection at curved surfaces, a topic in form two physics, involves studying how light reflects off curved mirrors. Unlike plane mirrors, curved mirrors can ca...
By the end of this topic, you should be able to:
Define and identify curved mirrors.
Understand the reflection of light from curved surfaces.
Use ray diagrams to locate images.
Distinguish between concave and convex mirrors.
Identify real vs virtual images.
Apply the knowledge to everyday uses.
Curved mirrors are spherical mirrors — they are part of a sphere.
| Type of Mirror | Description | Surface | Reflection |
|---|---|---|---|
| Concave | Curves inward like a cave | Inner surface is reflective | Converging mirror |
| Convex | Curves outward | Outer surface is reflective | Diverging mirror |
| Term | Meaning |
|---|---|
| Pole (P) | Center of the mirror's surface |
| Principal Axis | Straight line through the center of the mirror |
| Center of Curvature (C) | Center of the sphere the mirror is part of |
| Radius of Curvature (r) | Distance from C to P |
| Focal Point (F) | Point where parallel rays converge (concave) or appear to diverge (convex) |
| Focal Length (f) | Distance from P to F |
Focal length is always:
f=2r
To locate images, use these three principal rays:
Parallel ray → reflects through focal point
Ray through focal point → reflects parallel
Ray through center of curvature → reflects back on itself
Parallel ray → reflects as if from focal point behind mirror
Ray aimed at center of curvature → reflects back on itself
Ray aimed at focal point → reflects parallel
| Mirror | Object Position | Image Type | Image Nature |
|---|---|---|---|
| Concave | Beyond C | Between C & F | Real, inverted |
| At C | At C | Real, inverted, same size | |
| Between C & F | Beyond C | Real, inverted, magnified | |
| At F | At infinity | No image formed | |
| Between F & P | Behind mirror | Virtual, upright, magnified | |
| Convex | Anywhere | Behind mirror | Virtual, upright, diminished |
| Type | Description | Formed By | Can Be Projected? |
|---|---|---|---|
| Real | Rays actually meet | Concave mirror (in some cases) | ✅ Yes |
| Virtual | Rays appear to meet | Convex mirror or concave (close object) | ❌ No |
| Mirror Type | Applications |
|---|---|
| Concave | Shaving mirrors, headlights, solar cookers, telescopes |
| Convex | Vehicle side mirrors, security mirrors, ATM mirrors |
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Caren Gatweri
English
Certificate Course
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