Wavelength - Revision history

Dyu27 at 00:23, 4 December 2023

2023-12-04T00:23:44Z

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	===Is there an interesting industrial application?===		===Is there an interesting industrial application?===
	There are interesting industrial application of waves. From radio to ultrasounds, waves are applied through industry.		There are interesting industrial application of waves. From radio to ultrasounds, waves are applied through industry. Furthermore, wavelength is instrumental in regard to agriculture products, biomedical systems, manufacturing, etc.

	==History==		==History==

Dyu27 at 21:50, 3 December 2023

2023-12-03T21:50:37Z

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	===How is it connected to your major===		===How is it connected to your major===
			Given that my major is computer science, the topic of wavelengths is loosely related. There's many application of mathematics that are utilized in the field of computer science along with a few physics knowledge that can be useful at some times. However, I've rarely had to use my knowledge of wavelengths or frequencies in my time as a computer science student.

	===Is there an interesting industrial application?===		===Is there an interesting industrial application?===

Dyu27: /* How is it connected to your major */

2023-12-03T20:01:07Z

How is it connected to your major

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	===How is it connected to your major===		===How is it connected to your major===
	~~I do not know how this will be connected to my major since I do not know anything about my major. Since concept of wavelength is used in diverse fields, I think this would be related to my major.~~
	===Is there an interesting industrial application?===		===Is there an interesting industrial application?===
	There are interesting industrial application of waves. From radio to ultrasounds, waves are applied through industry.		There are interesting industrial application of waves. From radio to ultrasounds, waves are applied through industry.

Dyu27: /* How is this topic connected to something that you are interested in? */

2023-12-03T19:39:13Z

How is this topic connected to something that you are interested in?

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	==Connectedness==		==Connectedness==
	===How is this topic connected to something that you are interested in?===		===How is this topic connected to something that you are interested in?===
	~~This topic is not something what~~ I ~~am interested in~~, ~~but~~ I ~~am willing~~ to ~~have interest from now~~ on~~. While researching for wiki resource,~~ I ~~learned~~ that ~~different types are waves are deeply related~~ to ~~my current life~~. ~~I would like~~ to ~~especially~~ learn about the ~~sound waves~~.		While there are many topics in physics that I've learned about throughout high school and college, I think that wavelengths along with frequency has been talked about numerous times. I think it's important to understand these topics on a surface-level but I don't believe that what I'm pursuing has a direction connection to what I've explored while learning about wavelengths. It's always interesting to learn new things about the world we live in and I derive my satisfaction through understanding another facet of life.

	===How is it connected to your major===		===How is it connected to your major===
	I do not know how this will be connected to my major since I do not know anything about my major. Since concept of wavelength is used in diverse fields, I think this would be related to my major.		I do not know how this will be connected to my major since I do not know anything about my major. Since concept of wavelength is used in diverse fields, I think this would be related to my major.

Dyu27: /* See also */

2023-12-03T19:05:40Z

Dyu27: /* External links */

2023-12-03T19:05:27Z

External links

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	===~~External links~~===		===Further Reading===
			[https://www.snexplores.org/article/explainer-understanding-waves-and-wavelengths Wavelength Explained For Beginnners]

	===External links===		===External links===

Dyu27: /* See also */

2023-12-03T19:04:50Z

Dyu27: /* Difficult */

2023-12-03T19:03:28Z

Difficult

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	Solution:		Solution:

	The wave equation is A*sin(kx−ωt+ϕ), where k is the wave number and w is the angular frequency. Substituting the values, we get Ψ(x,t)=0.2sin(πx−5×0.5+ϕ). Thus, solving for the variables, we can see that πx−2.5+ϕ=0. As a result, πx=2.5.		The wave equation is A*sin(kx−ωt+ϕ), where k is the wave number and w is the angular frequency.

			Substituting the values, we get Ψ(x,t)=0.2sin(πx−5×0.5+ϕ).

			Thus, solving for the variables, we can see that πx−2.5+ϕ=0. As a result, πx=2.5.

	x= 2.5/π		x= 2.5/π

Dyu27: /* Examples */

2023-12-03T19:03:13Z

Examples

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	===Difficult===		===Difficult===
			A particle is described by a wave function Ψ(x,t), where x is position and time. The wave function is given by:

			Ψ(x,t)=0.2sin(4x−5t+ϕ)

			where ϕ is the phase constant. A researcher observes the particle at time t = 0.5s. If the wavelength is 2m, what is the position of the particle at time t = 0.5s.

			Solution:

			The wave equation is A*sin(kx−ωt+ϕ), where k is the wave number and w is the angular frequency. Substituting the values, we get Ψ(x,t)=0.2sin(πx−5×0.5+ϕ). Thus, solving for the variables, we can see that πx−2.5+ϕ=0. As a result, πx=2.5.

			x= 2.5/π


	==Connectedness==		==Connectedness==

Dyu27: /* A Computational Model */

2023-12-03T18:52:55Z

A Computational Model

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	===A Computational Model===		===A Computational Model===

	In this case when we are observing the forces applied to a spring moving up and down, we can measure how force repeats by seeing the wavelength of the graph. Click Here: [https://trinket.io/glowscript/~~23e96e1c2a~~]		In this case when we are observing the forces applied to a spring moving up and down, we can measure how force repeats by seeing the wavelength of the graph. Click Here: [https://trinket.io/glowscript/e7a8ec7283]

	==Examples==		==Examples==

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	[http://physicsbook.gatech.edu/Color_Light_Wave\| Color Light Wave]		[http://physicsbook.gatech.edu/Color_Light_Wave\| Color Light Wave]


	===Further Reading===		===Further Reading===

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			===External links===

	===External links===		===External links===