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Wavelength and Frequency of Electromagnetic Waves
Concept: Wavelength and Frequency (Simplified)
Light energy can travel through space as electromagnetic radiation, which behaves as both particles and waves. In a vacuum, light moves at a speed of 3.00 x 108 m/s, known as the speed of light.
Crest: The highest point of a wave.
Trough: The lowest point of a wave.
Wavelength (λ): The distance from one crest (or trough) to the next. It is measured in units of meters (m).
Frequency (ν): The number of waves passing a point per second. It is measured in hertz (Hz).
Electromagnetic waves are characterized by their wavelength and frequency, which are inversely related.
Wavelength & Frequency Relationship
The frequency (ν) of a wave is inversely proportional to its wavelength (λ), and directly proportional to its energy. The mathematical relationship is:
Equation:
Where c is the speed of light, λ is wavelength, and ν is frequency.
As wavelength decreases, frequency increases.
Higher frequency waves carry more energy.
Example
Given three electromagnetic waves with different wavelengths, the wave with the shortest wavelength has the highest frequency.
Application: If Wave C has the shortest wavelength, it will have the highest frequency.
Practice Problem
Which light wave would have the highest frequency from the examples provided?
Answer: Wave C (520 nm)
Key Terms
Wavelength (λ): Distance between consecutive crests or troughs.
Frequency (ν): Number of waves passing a point per second.
Crest: Highest point of a wave.
Trough: Lowest point of a wave.
Table: Relationship Between Wavelength and Frequency
Wave | Wavelength (nm) | Frequency (Hz) | Energy |
|---|---|---|---|
Wave A | 615 | Lower | Lower |
Wave B | 707 | Lowest | Lowest |
Wave C | 520 | Highest | Highest |
Additional info: The relationship between wavelength and frequency is fundamental in understanding the behavior of electromagnetic waves, which is essential for topics such as atomic structure and spectroscopy in chemistry.
