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...

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Course Overview

Learning Objectives:

By the end of this topic, you should be able to:

  1. Define and identify curved mirrors.

  2. Understand the reflection of light from curved surfaces.

  3. Use ray diagrams to locate images.

  4. Distinguish between concave and convex mirrors.

  5. Identify real vs virtual images.

  6. Apply the knowledge to everyday uses.


🔍 1. Types of Curved Mirrors

Curved mirrors are spherical mirrors — they are part of a sphere.

Type of MirrorDescriptionSurfaceReflection
ConcaveCurves inward like a caveInner surface is reflectiveConverging mirror
ConvexCurves outwardOuter surface is reflectiveDiverging mirror

🔄 2. Key Terms in Curved Mirrors

TermMeaning
Pole (P)Center of the mirror's surface
Principal AxisStraight 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=r2f = \frac{r}{2}


🔁 3. Ray Diagrams for Curved Mirrors

To locate images, use these three principal rays:

For Concave Mirror:

  1. Parallel ray → reflects through focal point

  2. Ray through focal point → reflects parallel

  3. Ray through center of curvature → reflects back on itself

For Convex Mirror:

  1. Parallel ray → reflects as if from focal point behind mirror

  2. Ray aimed at center of curvature → reflects back on itself

  3. Ray aimed at focal point → reflects parallel


🖼️ 4. Image Formed by Curved Mirrors

MirrorObject PositionImage TypeImage Nature
ConcaveBeyond CBetween C & FReal, inverted
At CAt CReal, inverted, same size
Between C & FBeyond CReal, inverted, magnified
At FAt infinityNo image formed
Between F & PBehind mirrorVirtual, upright, magnified
ConvexAnywhereBehind mirrorVirtual, upright, diminished

📌 5. Real vs Virtual Images

TypeDescriptionFormed ByCan Be Projected?
RealRays actually meetConcave mirror (in some cases)✅ Yes
VirtualRays appear to meetConvex mirror or concave (close object)❌ No

🛠️ 6. Applications of Curved Mirrors

Mirror TypeApplications
ConcaveShaving mirrors, headlights, solar cookers, telescopes
ConvexVehicle side mirrors, security mirrors, ATM mirrors
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Caren Gatweri

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