All simulations Simulation 28 Β· Light

The Human Eye & Glasses

Why do some people need glasses to see the board, and others to read a book? Focus the eye on near and far things and find the lens that puts the image back on the retina.

Class 10 The Human Eye
what you seeE F PT O Z L Dretinaobject 25 cm awaySharp: the image falls on the retina
Whose eye?
Look at…
25 cm
none
Image formsOn the retinasharp
Eye lens power44.0 Dcan change from 40 to 44 D
Sees sharply from25 cmnear point, with this lens
…out tofar awayfar point, with this lens

Try this

0 of 5 done

Find a normal eye's near point: the closest it can still see sharply.Hint: Normal eye, no lens, slide the object closer until it just stays sharp

Help a short-sighted student see far away clearly.Hint: far things focus in front of the retina; which lens spreads rays out?

Help a long-sighted person read a book 25 cm away.Hint: near things focus behind the retina; add a convex lens

Give Dadi reading glasses. Then look far away: what happens?Hint: Old-age eye, Book 25 cm, then a convex lens

Try the wrong glasses: put a convex lens on a short-sighted eye and look far away.Hint: Short-sighted, a + lens, Far away

What's happening

A camera that refocuses itself

Light enters through the cornea and the eye lens, which bend it to form an upside-down image on the retina at the back of the eye. To focus on near things, the ciliary muscles squeeze the lens fatter so it bends light more; for far things they relax and it flattens. This is called accommodation.

power P = 1 Γ· f (metres), in dioptres (D)

Near point and far point

A healthy young eye can focus anything from about 25 cm away (the near point) out to infinity (the far point). Closer than 25 cm, the lens can't get any fatter, so the image falls behind the retina and looks blurred.

normal eye: near point β‰ˆ 25 cm, far point = infinity

Fixing it with lenses

In myopia the eye bends light too much: far objects focus in front of the retina, so a concave (βˆ’) lens spreads the rays first. In hypermetropia and old-age presbyopia it can't bend enough for near objects, so a convex (+) lens helps. Powers of lenses in contact simply add.

corrective power = 1 Γ· far point (myopia, negative) P = 1/0.25 βˆ’ 1/near point (hypermetropia)

Who figured this out?

Ibn al-Haytham

about 1021, Cairo

In his Book of Optics, showed that we see because light from objects enters the eye, not because the eye sends out rays as many had believed.

Johannes Kepler

1604, Prague

Worked out that the eye's lens forms an upside-down image on the retina, and explained how concave and convex spectacle lenses correct poor sight.

Benjamin Franklin

1780s, USA

Credited with inventing bifocals: glasses split into a top half for distance and a bottom half for reading.

Learn more

Check yourself

1. What is the near point of a normal human eye?

2. A short-sighted student can't see beyond 50 cm clearly. What lens do they need?

3. A person's near point is 1 m. What power of reading glasses lets them read at 25 cm?

4. What changes the eye lens's focal length when you look from far to near?

Common questions

What is the power of accommodation of the eye?

Power of accommodation is the eye lens's ability to change its focal length so that both near and far objects form a sharp image on the retina. The ciliary muscles make the lens thicker for near objects and thinner for far ones.

What is myopia and how is it corrected?

Myopia, or short-sightedness, is when a person sees near objects clearly but distant ones look blurred. The image of a far object forms in front of the retina, because the eyeball is too long or the lens too strong. It is corrected with a concave lens of suitable negative power.

What is hypermetropia and how is it corrected?

Hypermetropia, or long-sightedness, is when a person sees distant objects clearly but near ones look blurred. The near point is farther than 25 cm and the image of a near object forms behind the retina. It is corrected with a convex lens of suitable positive power.

What is presbyopia?

Presbyopia is the gradual loss of the eye's power of accommodation with age, as the ciliary muscles weaken and the lens stiffens. The near point moves away, so reading becomes hard. It is corrected with convex reading glasses, or bifocals if the person is also short-sighted.

What are the near point and far point of the eye?

The near point is the closest distance at which the eye can see clearly, about 25 cm for a normal young adult. The far point is the farthest distance it can see clearly, which is infinity for a normal eye.

How does the eye focus if the retina can't move?

The distance from the eye lens to the retina is fixed at roughly 2.5 cm in a grown-up eye. Since this 'screen' can't move, the eye focuses by changing the lens's power instead: about 40 D for far objects and about 44 D for objects at 25 cm.

A simplified eye: one thin lens 2.5 cm from the retina, with typical power ranges. The corrective lens is treated as touching the eye, so the powers add.