Wavelength and Frequency: Difference between revisions
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*What are the mathematical equations that allow us to model this topic. For example <math>{\frac{d\vec{p}}{dt}}_{system} = \vec{F}_{net}</math> where '''p''' is the momentum of the system and '''F''' is the net force from the surroundings. | *What are the mathematical equations that allow us to model this topic. For example <math>{\frac{d\vec{p}}{dt}}_{system} = \vec{F}_{net}</math> where '''p''' is the momentum of the system and '''F''' is the net force from the surroundings. | ||
:<math>f = \frac{1}{T}.</math> where '''F''' is the | |||
:<math>f = \frac{1}{T}.</math> where '''F''' is the frequency and '''T''' is the period. | |||
:<math>f = \frac{c}{\lambda}, | |||
where: | |||
*''c'' = {{val|299792458|u=m/s}} is the [[speed of light]] in a vacuum | |||
Frequency can we described by angular frequency with the following model. | Frequency can we described by angular frequency with the following model. | ||
Revision as of 11:55, 1 December 2015
Under Construction By Allie Johnson
- Short Description of Topic
Wavelength and Frequency are used to describe a sinusoidal electromagnetic wave. Frequency is the number of peaks per second that pass a given location. Wavelength is the distance between two peaks.
The Main Idea
- State, in your own words, the main idea for this topic
The frequency of a sinusoidal electromagnetic wave is also the inverse of the period. When that wave is plotted over time, a period will be the distance between two peaks. Frequency is measured in inverse seconds or hertz (Hz). Wavelength is the distance between two peaks of a sinusoidal electromagnetic wave when plotted over a direction.
Wavelength is directly proportional to frequency. Wavelength is the speed of light divided by the frequency. Therefore, as frequency increases wavelength decreases. This is because over a specific amount of time, the wave will move at the speed of light. Electromagnetic radiation is categorized by its wavelength, spanning from gamma rays to radio waves.
A Mathematical Model
- What are the mathematical equations that allow us to model this topic. For example [math]\displaystyle{ {\frac{d\vec{p}}{dt}}_{system} = \vec{F}_{net} }[/math] where p is the momentum of the system and F is the net force from the surroundings.
- [math]\displaystyle{ f = \frac{1}{T}. }[/math] where F is the frequency and T is the period.
- <math>f = \frac{c}{\lambda},
where:
- c = Template:Val is the speed of light in a vacuum
Frequency can we described by angular frequency with the following model.
A Computational Model
How do we visualize or predict using this topic. Consider embedding some vpython code here Teach hands-on with GlowScript
Examples
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History
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See also
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