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P = 1/f

PHY023 · Optics · Classes 10–12

Human eye accommodation

Objective: To see how the eye lens changes its power (accommodation) to focus near and far objects on the retina.

🧰 Apparatus

  • Eye model with a flexible lens (or a convex lens and screen)
  • Object (lit arrow)
  • Metre scale

📐 Formulas and SI units

1/f = 1/v − 1/u, with v = 2.5 cm
P = 1/f (f in m, P in dioptres)

💡 Theory

The eye lens-to-retina distance is fixed (about 2.5 cm here). To keep the image on the retina, ciliary muscles change the lens shape: thicker and more powerful for near objects, thinner for far ones. The least distance of distinct vision is 25 cm.

🪜 Procedure

  1. Place the object far away and note the lens power needed.
  2. Bring it closer in steps to 25 cm.
  3. Calculate the power needed each time from 1/f = 1/v − 1/u with v = 2.5 cm.
  4. Plot power against object distance.
  5. Discuss what happens if the lens cannot become thick enough.

📋 Observations Simulated values

✅ Result and conclusion

The power rises from about 40 D for distant objects to 44 D at 25 cm: the eye adds about 4 D of accommodation.

🔬 In a real lab

Real eyes focus mostly with the cornea and are about 1.7 cm in effective focal length; accommodation weakens with age (presbyopia).

⚠️ Safety

Never look at the Sun or bright lamps; do eye-model work with dim lights.

❓ Quick check

1. To see a near object, the eye lens becomes…

2. The near point of a normal eye is about…

3. Which muscles change the lens shape?

🏋️ Practice

EasyPower needed for a distant object with v = 2.5 cm?

Answer: 40 D

MediumPower at 50 cm?

Answer: 42 D

ChallengeWhy do older people hold books further away?

Answer: Accommodation weakens (presbyopia)