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Wavelength

Key Stage 3

Meaning

Wavelength is the distance between a point on one wave and an identical point on the next wave.

About Wavelength

Wavelength is measured in metres.
Wavelength.png
The wavelength is the length of one wave including the peak and trough.

Key Stage 4

Meaning

Wavelength is the distance between two identical points on adjacent waves.

About Wavelength

Wavelength is a scalar quantity because it has magnitude only.
The SI Unit of wavelength is the metre.
Wavelength.png
The wavelength is the length of one wave including the peak and trough.

Equation

NB: You should remember this equation with v as the subject of the formula. Wavelength = (Wave Speed)/(Frequency)

\(\lambda = \frac{v}{f}\)

Where

\(\lambda\) = The wavelength of the wave.

\(v\) = The wave speed of the wave.

\(f\) = The frequency of the wave.

Example Calculations

A wave with frequency 700Hz travels at a speed of 340m/s. Calculate the wavelength of the wave correct to two significant figures. A 630MHz radiowave travels at 300,000,000m/s in a vacuum. Calculate the wavelength of this radiowave correct to two significant figures.
1. State the known quantities

f = 700Hz

v = 340m/s

1. State the known quantities

f = 630MHz = 630x106Hz

v = 300,000,000m/s = 3x108m/s

2. Substitute the numbers into the equation and solve.

\( \lambda = \frac{v}{f}\)

\( \lambda = \frac{340}{700}\)

\( \lambda = 0.48571m\)

\( \lambda \approx 0.48m\)

2. Substitute the numbers into the equation and solve.

\( \lambda = \frac{v}{f}\)

\( \lambda = \frac{630 \times 10^6}{3 \times 10^8}\)

\( \lambda = 2.1m\)

References

AQA

Wavelength, page 183, GCSE Physics, Hodder, AQA
Wavelength, page 219, GCSE Combined Science; The Revision Guide, CGP, AQA
Wavelength, page 73, GCSE Physics; The Revision Guide, CGP, AQA
Wavelength, pages 189, 191, 194, 196, 200, GCSE Combined Science Trilogy; Physics, CGP, AQA
Wavelength, pages 191-3, 200-1, 213, 237, 288-9, GCSE Physics; Student Book, Collins, AQA
Wavelength, pages 226, 228, 231, 233, 242, GCSE Physics; The Complete 9-1 Course for AQA, CGP, AQA
Wavelength, pages 257, GCSE Combined Science Trilogy 2, Hodder, AQA
Wavelengths, pages 176, 190-191, 194, 205-206, GCSE Physics; Third Edition, Oxford University Press, AQA

Edexcel

Wavelength, pages 164-166, GCSE Combined Science; The Revision Guide, CGP, Edexcel
Wavelength, pages 32, 34, 40, 61, GCSE Physics; The Revision Guide, CGP, Edexcel
Wavelength, pages 49, 94, GCSE Physics, Pearson Edexcel

OCR

Wavelength, pages 142-144, 153, 256, Gateway GCSE Physics, Oxford, OCR
Wavelength, pages 186-188, 192, Gateway GCSE Combined Science; The Revision Guide, CGP, OCR
Wavelength, pages 59-61, 63, 66, 70, 98, Gateway GCSE Physics; The Revision Guide, CGP, OCR