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i = r

PHY014 · Optics · Classes 6–10

Plane mirror reflection

Objective: To verify that the angle of reflection equals the angle of incidence, and that the image is as far behind a plane mirror as the object is in front.

🧰 Apparatus

  • Plane mirror strip with stand
  • Drawing board and white sheet
  • Pins
  • Protractor
  • Ruler

📐 Formulas and SI units

∠i = ∠r (angles measured from the normal)
image distance = object distance (cm)

💡 Theory

When light reflects from a smooth surface, the incident ray, the reflected ray and the normal lie in one plane, and the angle of reflection equals the angle of incidence. A plane mirror forms a virtual, upright image of the same size, as far behind the mirror as the object is in front, laterally inverted.

🪜 Procedure

  1. Draw a line for the mirror and a normal at point O.
  2. Draw incident rays at 20°, 30°, 45° and 60° to the normal.
  3. Place two pins on an incident ray and stand the mirror on the line.
  4. Look into the mirror and place two pins in line with the images of the first pins.
  5. Join the second pins to O and measure the angle of reflection.
  6. Compare i and r in a table.

📋 Observations Simulated values

✅ Result and conclusion

For every ray the angle of reflection equals the angle of incidence, and the image is as far behind the mirror as the object is in front.

🔬 In a real lab

Pins and lines have a thickness, so readings differ by about 1°. Thick glass mirrors also give a faint second image from the front glass surface.

⚠️ Safety

Mirror strips have sharp edges: hold them by the stand and never press on glass. Use pins carefully and store them in a box.

❓ Quick check

1. The angle between the incident ray and the mirror is 30°. The angle of reflection is…

2. An object is 15 cm in front of a plane mirror. How far is its image from the object?

3. The image in a plane mirror is…

🏋️ Practice

Easyi = 25°. r = ?

Answer: 25°

MediumYou walk towards a mirror at 1 m/s. How fast do you approach your image?

Answer: 2 m/s

ChallengeTwo mirrors at 90°: how many images of one object?

Answer: 3 (360°/90° − 1)