Wavelength Examples in Physics

Start with the recap, study the fully worked examples, then use the practice problems to check your understanding of Wavelength.

This page combines explanation, solved examples, and follow-up practice so you can move from recognition to confident problem-solving in Physics.

Concept Recap

Wavelength is the distance between two consecutive identical points on a wave, such as from one peak to the next peak or one trough to the next trough, measured in metres.

How 'long' one complete wave cycle is โ€” the spatial size of a single repeating pattern.

Read the full concept explanation โ†’

How to Use These Examples

  • Read the first worked example with the solution open so the structure is clear.
  • Try the practice problems before revealing each solution.
  • Use the related concepts and background knowledge badges if you feel stuck.

What to Focus On

Core idea: Wavelength and frequency are inversely related for a given wave speed.

Common stuck point: Wavelength is a spatial measurement in meters, not a time measurement like period.

Sense of Study hint: When you see a wavelength problem, first check whether you are given wave speed and frequency. If so, use \lambda = v / f. If given period instead of frequency, convert first using f = 1/T. Finally, ensure all units are consistent โ€” speed in m/s and frequency in Hz gives wavelength in metres.

Worked Examples

Example 1

easy
A wave has a speed of 340 \text{ m/s} and a frequency of 170 \text{ Hz}. What is the wavelength?

Solution

  1. 1
    Use the wave equation: v = f\lambda.
  2. 2
    Rearrange for wavelength: \lambda = \frac{v}{f}.
  3. 3
    \lambda = \frac{340}{170} = 2 \text{ m}

Answer

\lambda = 2 \text{ m}
Wavelength is the distance between consecutive identical points on a wave (e.g., crest to crest). It is inversely proportional to frequency for a given wave speed.

Example 2

medium
Red light has a wavelength of 700 \text{ nm} in a vacuum. What is its frequency? Use c = 3 \times 10^8 \text{ m/s}.

Example 3

medium
A sound wave has frequency 440 Hz and travels at 343 m/s. Find the wavelength.

Practice Problems

Try these problems on your own first, then open the solution to compare your method.

Example 1

easy
A water wave has a wavelength of 3 \text{ m} and a period of 1.5 \text{ s}. What is the wave speed?

Example 2

medium
A radio station broadcasts at 98.5 \text{ MHz}. What is the wavelength of the signal? Use c = 3 \times 10^8 \text{ m/s}.

Related Concepts

Background Knowledge

These ideas may be useful before you work through the harder examples.

waves