Optics
Hyperopia (far-sighted)
A far-sighted eye can't accommodate enough for close work — the reading distance is blurred.
Hyperopia (far-sighted) — interactive Optics simulation. A far-sighted eye can't accommodate enough for close work — the reading distance is blurred. Free browser-based virtual physics lab with live SI measurements and a guided tutorial.
Hyperopia
A far-sighted eye can't accommodate enough for close work — the reading distance is blurred.
Hyperopia means the eye is too short or the lens too weak for nearby work; even relaxed focus for distance may place the image behind the retina. Accommodation must add converging power for reading, causing eye strain when sustained.
- Near work blurred
- Image behind retina
Investigation brief
Plan the question before you open the lab
The brief mirrors the prerendered page: driving question, competing predictions, variable roles, governing laws, setup, analysis and extension prompts remain visible and in this order.
Driving question
A hyperopic (far-sighted) eye can't accommodate enough to focus on nearby objects — its near point is farther than the normal 25 cm. Does a more severe hyperopia (a farther-out near point) require more or less corrective lens power?
Predictions to weigh
- A farther-out near point needs less corrective power.
- Corrective power doesn't depend on how far out the near point is.
- More — a farther-out near point needs a stronger converging lens to bring close objects into the eye's limited focusing range.
Variable roles
What you set:
- Near point (cm)
What you measure:
- Corrective power P (D)
How the investigation runs
- Open the hyperopia preset and press Reset. This eye's near point is pushed out to 100 cm — anything closer appears blurred.
- Enable the corrective-power readout.
- Set the eye's near point for each trial (exploring different hyperopia severities) and record the corrective lens power needed.
Governing equation
Hyperopia Corrective Power — P = 1/f (corrective)
A converging corrective lens images an object at the standard reading distance (25 cm) out at the eye's actual near point, so its power is P = 1/0.25 m − 1/near point(m) — positive diopters, growing stronger as the near point moves farther out.
What the printable worksheet asks students to work out
- For one trial, compute P = 1/0.25 − 100/near point (cm), giving diopters. Compare to the table.
- Explain why P comes out positive — hyperopia is corrected with a CONVERGING lens, which images a normally-close object (at the standard 25 cm reading distance) out at the eye's actual (pushed-out) near point instead.
Where this shows up beyond the lab
- Reading glasses (a common over-the-counter form of hyperopia correction) come in standard positive-diopter strengths like +1.00, +1.50, +2.00 D. Explain, using your data, why someone whose near point is pushed out much farther than normal would need a higher-power pair.
- Age-related presbyopia (stiffening eye lens) and true hyperopia (an eyeball shape issue) both push the near point outward and are corrected the same way, with converging lenses — but they're different underlying causes. Why might both conditions still use the same 'add reading power' correction formula?
- AP Physics 2 — Unit 13: Geometric Optics
- General High School Physics — Light & optics
- NGSS High School Physics — Wave properties
- Welcome to Hyperopia
- Select the eye
- Press Play
- Near work is blurred
- Open the Properties panel
- You did it!
Open the interactive simulation to build the scene, press Play, and explore with live measurements and a guided tutorial.