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Optics formulas
19 formulas for Optics, from the Physics — Formulas section of the Quantix formula library. Tap 🧮 next to a formula to solve it for any variable with step-by-step working.
| Name | Formula | Note |
|---|---|---|
| Mirror formula | 1/f = 1/v + 1/u 🧮 Solve step by step | f = R/2 |
| Lens formula | 1/f = 1/v − 1/u 🧮 Solve step by step | Cartesian signs |
| Magnification (mirror) | m = −v/u 🧮 Solve step by step | |
| Magnification (lens) | m = v/u 🧮 Solve step by step | |
| Power of lens | P = 1/f (in m) 🧮 Solve step by step | dioptre |
| Lens maker's formula | 1/f = (μ − 1)(1/R₁ − 1/R₂) 🧮 Solve step by step | |
| Lenses in contact | 1/F = 1/f₁ + 1/f₂ 🧮 Solve step by step | |
| Snell's law | n₁ sin θ₁ = n₂ sin θ₂ 🧮 Solve step by step | |
| Refractive index | n = c/v = real depth / apparent depth | |
| Critical angle | sin C = 1/n 🧮 Solve step by step | |
| Prism | n = sin((A + D_m)/2) / sin(A/2) 🧮 Solve step by step | |
| Young's double slit — fringe width | β = λD/d 🧮 Solve step by step | m |
| Path difference (bright fringe) | Δ = nλ 🧮 Solve step by step | |
| Single slit minima | a sin θ = nλ 🧮 Solve step by step | |
| Resolving power (telescope) | θ = 1.22λ/D 🧮 Solve step by step | rad |
| Malus' law | I = I₀ cos²θ 🧮 Solve step by step | |
| Brewster's law | tan θ_B = n 🧮 Solve step by step | |
| Microscope magnification | M = (L/f₀)(D/fₑ) 🧮 Solve step by step | D = 25 cm |
| Telescope magnification | M = f₀/fₑ 🧮 Solve step by step |
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