A Water Prism: Gentler Dispersion Than Glass
1 · Predict
Water has a lower refractive index (n ≈ 1.33) than glass. Does a water-filled prism deviate light less than an equivalent glass prism?
- Yes — water's lower index means less bending at each face, so less total deviation than a glass prism of the same apex angle.
- A water prism deviates light more than glass.
- Deviation is the same regardless of the medium's index.
2 · Set Up
- Open the water-prism preset and press Reset. This water-filled prism has apex angle A = 60°, index n = 1.33.
- Enable the total-deviation readout.
- Set the incidence angle for each trial and record the total deviation.
3 · Collect Data
| Incidence angle θ₁ (°) | Total deviation δ (°) |
|---|---|
| 35.00 | |
| 45.00 | |
| 55.00 |
Plot deviation δ (y-axis) against incidence angle θ₁ (x-axis) for your three trials. Compare the scale to the white-light-prism (crown glass) experiment's.
4 · Analyze
- For one trial, compute θ₂ = asin(sin θ₁/n), θ₃ = A − θ₂, θ₄ = asin(n·sin θ₃), then δ = θ₁ + θ₄ − A, using n = 1.33. Compare to the table.
- Compare your deviation values to the white-light-prism experiment's (same apex angle, higher index). Explain why water's lower index produces smaller deviation at every matching incidence angle.
5 · Extend
- A rainbow is essentially millions of tiny spherical water-droplet 'prisms' refracting and internally reflecting sunlight. Explain why water's relatively modest dispersion (compared to glass) still produces a visible, if somewhat less vivid, spectrum in a rainbow.
- Across this experiment, flint-prism (n≈1.66), white-light-prism/crown glass (n=1.5), and water-prism (n=1.33) form a clear trend: denser optical media disperse and deviate light more. Explain why this trend follows the same physics as the tir experiment's critical-angle trend.
The Physics Behind This Experiment
Lower-Index Media Deviate Less
Water's refractive index (1.33) is lower than typical glass (1.5–1.66), so a water prism bends light less strongly at each face — smaller total deviation δ = θ₁ + θ₄ − A for the same apex angle and incidence.
Optics
- Converging Lens: Real Images Beyond 2f
- The Focal Point: Where Images Escape to Infinity
- A Lens as a Magnifying Glass
- A Diverging Lens: Always Virtual, Always Reduced
- A Concave Mirror: Real Images Like a Converging Lens
- A Convex Mirror: Always a Reduced Virtual Image
- The Plane Mirror: A Special, Invariant Case
- Apparent Depth: Why a Pool Looks Shallower Than It Is
- Total Internal Reflection: The Critical Angle
- A Two-Lens Relay: Chaining Images Together
- The Compound Microscope: Two Lenses for High Magnification
- A Photographic Enlarger: Two Lenses for a Real, Bigger Image