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Class 9–10 · Physics

Reflection of light

Change it and see

Reflection of light

iri = r
Both reflection angles are measured from the normal.
Lessons in this chapter
  1. Light and rays
  2. Laws of reflection
  3. Specular and diffuse reflection
  4. Plane-mirror images
  5. Spherical mirrors
  6. Concave-mirror ray diagrams
  7. Convex mirrors
  8. Mirror equation and magnification

Lessons

1

Light and rays

iri = r
Both reflection angles are measured from the normal.

Light is electromagnetic radiation. Rays show its direction in a uniform transparent medium. Beams may be parallel, converging or diverging. A pinhole camera forms an inverted image because rays from opposite parts cross through the opening.

Key relationship

c ≈ 3×10⁸ m/s in vacuum

Worked example

Upper object point → pinhole → lower screen point

2

Laws of reflection

iri = r
Both reflection angles are measured from the normal.

Measure incidence and reflection angles from the normal, perpendicular to the surface at the point of incidence. The angles are equal and both rays and the normal lie in one plane.

Key relationship

i = r

Worked example

Ray makes 30° with surface ⇒ i = 60° ⇒ r = 60°

3

Specular and diffuse reflection

iri = r
Both reflection angles are measured from the normal.

Smooth surfaces preserve an orderly reflected beam. Rough surfaces have differently oriented local normals, scattering light in many directions. Each local reflection still obeys i = r. Diffuse reflection makes ordinary pages visible from different directions.

Key relationship

local i = local r

Worked example

Mirror: recognisable image; white paper: scattered light without a clear image

4

Plane-mirror images

iri = r
Both reflection angles are measured from the normal.

A plane mirror produces an upright, same-size virtual image as far behind the mirror as the object is in front. Rays only appear to originate there. The reversal is across the mirror plane and is commonly described as lateral inversion.

Key relationship

object distance = image distance; magnification magnitude = 1

Worked example

Object 2 m in front ⇒ image 2 m behind ⇒ separation 4 m

5

Spherical mirrors

iri = r
Both reflection angles are measured from the normal.

Concave mirrors reflect from an inner spherical surface and convex mirrors from the outer surface. Identify pole, curvature centre, radius and principal focus. For paraxial rays and a small aperture, focal length is approximately half the curvature radius.

Key relationship

f = R/2

Worked example

R = 40 cm ⇒ focal-length magnitude 20 cm

6

Concave-mirror ray diagrams

iri = r
Both reflection angles are measured from the normal.

Use two principal rays. Beyond C gives a smaller inverted real image; at C, equal size; between C and F, enlarged and inverted. At F the ideal image is at infinity; inside F it is enlarged, upright and virtual.

Key relationship

parallel → F; through F → parallel; through C → retraces

Worked example

Object between P and F ⇒ enlarged upright virtual image behind mirror

7

Convex mirrors

iri = r
Both reflection angles are measured from the normal.

Diverging reflected rays appear to originate between pole and focus. A real object's image is always smaller, upright and virtual. The wider field of view is useful in vehicle and safety mirrors.

Key relationship

image lies between P and F behind mirror

Worked example

Smaller traffic images allow a wider view, but can complicate distance judgement.

8

Mirror equation and magnification

iri = r
Both reflection angles are measured from the normal.

Use the Cartesian convention: incident light travels left to right and right is positive. A real object has negative u; a concave mirror has negative f. Interpret v for location and m for orientation and size.

Key relationship

1/f = 1/u+1/v; m = −v/u

Worked example

f = −10 cm, u = −30 cm ⇒ v = −15 cm; m = −0.5

Check your understanding

Try answering first, then open the question to compare your reasoning.

1. Ray is 20° to surface: reflection angle?

i = 90−20 = 70° ⇒ r = 70°

2. Plane mirror, object 1.5 m in front: object-image separation?

1.5 + 1.5 = 3 m

3. Curvature radius 30 cm: focal-length magnitude?

f = R/2 = 15 cm

4. Convex mirror image of a real object?

Upright, smaller, virtual

5. Concave mirror with object between P and F?

Upright, enlarged, virtual

Sources and scope

Original GetReady teaching notes. The 13 core chapters follow the existing site sequence. Physics to save life is an explicitly labelled older-edition supplement. Check your current book and board instructions for examination scope. Illustrations are schematic. Unless stated otherwise, use g = 9.8 m/s². A physics teacher should review content and edition coverage before it is relied on.