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Reflection

Light: Reflection

Reflection

Light — Reflection

What you'll learn

  • Reflection of light — light bounces off a surface; angle of incidence = angle of reflection.
  • Laws of reflection — two laws and how to draw the normal, incident ray, reflected ray.
  • Difference between regular (specular) and irregular (diffuse) reflection.
  • Images in a plane mirror — properties: virtual, erect, laterally inverted, same size, same distance behind mirror.
  • Periscope working principle — two plane mirrors at 45°.

Key concepts

Level 1 — Laws of reflection

  1. Incident ray — ray of light hitting a surface.
  2. Normal — perpendicular line at the point of incidence (drawn with dashed line).
  3. Angle of incidence (i) — angle between incident ray and normal.
  4. Angle of reflection (r) — angle between reflected ray and normal.
  5. First law — incident ray, normal, and reflected ray all lie in the same plane.
  6. Second law — angle of incidence = angle of reflection (∠i = ∠r).

Level 2 — Types of reflection

TypeSurfaceExample
Regular (specular)Smooth, polishedMirror, calm water
Diffuse (irregular)RoughWall, paper, road

Diffuse reflection scatters light in many directions — this is why we can see objects that don't glow.

Level 3 — Plane mirror image

  • Image distance = object distance (behind mirror).
  • Image is virtual (cannot be caught on screen).
  • Image is erect (right-side up).
  • Image is laterally inverted — left becomes right (ambulance written reversed).
  • Image size = object size.

Periscope: two mirrors at 45° each deflect light 90° → total 180° change; used in submarines.

Worked example

Angle of incidence is 35°. Find angle of reflection and the angle between reflected ray and mirror.

Step 1 — ∠i = 35° (given).
Step 2 — By second law: ∠r = ∠i = 35°.
Step 3 — Angle between reflected ray and mirror surface
         = 90° − ∠r = 90° − 35° = 55°.
Step 4 — Total angle between incident and reflected rays
         = ∠i + ∠r = 35° + 35° = 70°.
Conclusion: angle of reflection = 35°; ray makes 55° with mirror surface.

Common mistakes

MistakeFix
Measuring angle from surface instead of normalAlways measure ∠i and ∠r from the normal
Confusing laterally inverted with upside-downLateral inversion is left-right swap only
Thinking diffuse reflection breaks laws of reflectionLaws still hold at each point; surface has many tiny tilted facets

Quick check

  • State the two laws of reflection.
  • If ∠i = 40°, what is ∠r?
  • Why does an ambulance have reversed writing on its front?
  • What is diffuse reflection? Give two examples.
  • Draw a ray diagram for a plane mirror (hint: mark normal, ∠i, ∠r).

Open the Practice tab for graded questions on Light — Reflection.

Key Takeaways (TL;DR)

  • What you'll learn
  • Key concepts
  • Worked example
  • Common mistakes

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