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Modern physics formulas
19 formulas for Modern physics, 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 |
|---|---|---|
| Photon energy | E = hf = hc/λ 🧮 Solve step by step | J or eV |
| Photon momentum | p = h/λ 🧮 Solve step by step | |
| Photoelectric equation | KE_max = hf − φ = eV₀ 🧮 Solve step by step | |
| Threshold frequency | f₀ = φ/h 🧮 Solve step by step | |
| de Broglie wavelength | λ = h/p = h/mv 🧮 Solve step by step | m |
| Electron wavelength (accelerated) | λ = 1.227/√V nm | |
| Bohr radius of n-th orbit | rₙ = 0.529 n²/Z Å | |
| Bohr energy levels | Eₙ = −13.6 Z²/n² eV | |
| Spectral lines (Rydberg) | 1/λ = RZ²(1/n₁² − 1/n₂²) 🧮 Solve step by step | |
| Mass–energy equivalence | E = mc² 🧮 Solve step by step | J |
| Binding energy | BE = Δm c² = Δm × 931.5 MeV | |
| Radioactive decay | N = N₀e^(−λt) 🧮 Solve step by step | |
| Half-life | T½ = ln 2 / λ = 0.693/λ 🧮 Solve step by step | s |
| Mean life | τ = 1/λ 🧮 Solve step by step | |
| Activity | A = λN 🧮 Solve step by step | Bq |
| Nuclear radius | R = R₀A^(1/3), R₀ ≈ 1.2 fm 🧮 Solve step by step | |
| Heisenberg uncertainty | Δx · Δp ≥ h/(4π) | |
| Time dilation | t = t₀ / √(1 − v²/c²) 🧮 Solve step by step | |
| X-ray cut-off | λ_min = hc/(eV) 🧮 Solve step by step |
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