Practice Wavelength in Physics

Use these practice problems to test your method after reviewing the concept explanation and worked examples.

Quick 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.

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

Showing a random 20 of 50 problems.

Example 1

medium
Why must you convert wavelength to meters before computing wave speed in m/s from frequency in Hz?

Example 2

medium
A tuning fork emits a 256 Hz256 \text{ Hz} tone in air (v=340 m/sv = 340 \text{ m/s}). Find its wavelength.

Example 3

easy
A water wave has a wavelength of 3 m3 \text{ m} and a period of 1.5 s1.5 \text{ s}. What is the wave speed?

Example 4

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

Example 5

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A sound wave of frequency 256 Hz travels at 343 m/s in air. Find its wavelength (round to two decimals).

Example 6

easy
A wave has speed 20 m/s and frequency 5 Hz. Find its wavelength.

Example 7

easy
What symbol is used for wavelength?

Example 8

easy
A wave repeats every 0.25 m. What is its wavelength?

Example 9

medium
Microwaves in a microwave oven have frequency 2.45 GHz2.45 \text{ GHz}. Find the wavelength. Use c=3×108 m/sc = 3\times 10^8 \text{ m/s}.

Example 10

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A wave's wavelength is 6 m and it passes a point at 2 cycles per second. How far does the wave travel in 5 s?

Example 11

easy
Convert a wavelength of 2.5 cm2.5 \text{ cm} to meters.

Example 12

easy
A guitar string vibrates so 4 full wavelengths fit in 1.2 m1.2 \text{ m}. What is the wavelength?

Example 13

easy
A wave has speed 12 m/s12 \text{ m/s} and frequency 4 Hz4 \text{ Hz}. Find its wavelength.

Example 14

medium
Green light has wavelength 500 nm500 \text{ nm} in vacuum. Find its frequency. Use c=3×108 m/sc = 3\times 10^8 \text{ m/s}.

Example 15

challenge
A wave's wavelength is reduced from 5 m to 2 m while the medium (and thus speed) is unchanged at 40 m/s. Find the change in frequency.

Example 16

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A wave has wavelength 50 cm and frequency 4 Hz. Find the wave speed in m/s.

Example 17

challenge
A wave of frequency 100 Hz has wavelength 3.0 m in medium 1. Entering medium 2, its speed increases by 50% while frequency stays the same. Find the new wavelength.

Example 18

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Two consecutive troughs of a water wave are 3 m apart, and the wave passes a buoy 6 times per second. Find the wave speed.

Example 19

easy
Is wavelength measured horizontally (along travel) or vertically (height) on a transverse wave?

Example 20

easy
Are two points one wavelength apart on a wave in phase or out of phase?