Waves & Optics Calculators
Wave frequency, wavelength, refraction, lens, sound-level, and Doppler tools.
Tools in Waves & Optics Calculators
Formula tools for repeated physics work, unit checks, and setup examples.
Wavelength Calculator
Calculate wavelength from wave speed and frequency.
Frequency Calculator
Calculate frequency from wave speed and wavelength.
Snell's Law Calculator
Calculate refracted angle from refractive indices and an incident angle.
Lens Calculator
Calculate image distance and magnification from the thin lens equation.
Decibel Calculator
Calculate decibel difference from a measured and reference power level.
Doppler Effect Calculator
Calculate observed frequency from wave speed and source/observer motion.
Recommended Tools In This Topic
Start with these calculators when you need a related formula, unit, or worked-example check in this physics topic.
Formula Guide
Formulas, units, examples, and limits
Formula scope
- Wave identity pages use lambda = v/f and f = v/lambda for sound, light, and other wave contexts.
- Optics pages cover Snell law and thin-lens relationships for refraction and image formation.
- Signal pages cover decibel power ratios and Doppler observed-frequency shifts.
Variables and units
- Wave speed in m/s, frequency in Hz, wavelength in m, period in s.
- Refractive index dimensionless, angles in degrees, focal and object distances in m.
- Power ratios positive and dimensionless for dB calculations; source and observer speeds in m/s.
Worked example
Frequency from wavelength
- 1For wave speed 340 m/s and wavelength 2 m, compute f = 340/2 = 170 Hz.
- 2Invert the result to get period T = 1/170 = 0.00588 s.
- 3Use Doppler only after source and observer motion are defined relative to the medium.
Waves and optics calculations stay consistent when wavelength, frequency, and speed describe the same wave state.
Common limits and checks
- Changing medium can change wave speed and wavelength while source frequency remains fixed.
- Snell law angles are measured from the normal, not from the surface.
- Decibel calculations need the correct 10*log power form versus 20*log amplitude form.
Wavelength Calculator
Calculate wavelength from wave speed and frequency.
Frequency Calculator
Calculate frequency from wave speed and wavelength.
Snell's Law Calculator
Calculate refracted angle from refractive indices and an incident angle.
About Waves & Optics Calculators
Waves and optics calculators help with classroom and lab formulas for sound, light, refraction, thin lenses, and moving sources. The tools here focus on repeated physics workflows rather than broad textbook coverage.
Each tool is designed to reduce equation setup time while keeping the result transparent enough to support homework checks, lab work, or engineering back-of-the-envelope estimates.
Why these formulas belong together
Users usually arrive with a cluster of closely related questions. Someone solving projectile motion may also need velocity or free-fall results, and someone working on RC timing may also need Ohm's law or voltage-divider outputs.
Grouping these calculators by topic helps you move between related formulas without losing the physics context, whether you are comparing motion, circuits, heat, waves, fluids, or gravity problems.
Waves & Optics Calculators FAQ
Use this page when you know the subject area but still need the right formula tool. Jump straight to a tool when you already know the exact calculation.
Switch topics when the variables or formula family change, such as moving from motion to circuits or from heat to gases.
No. These calculators help with setup and checking, but they should not replace course materials, lab guidance, or engineering review when those are required.
Explore related Physics topics
Start with the topic that matches your calculation, then use a related topic when the problem expands into another formula set.