Snell's Law - Revision history

Ashankar35: /* See also */

2015-12-06T03:21:31Z

Nsingh49 at 19:56, 5 December 2015

2015-12-05T19:56:01Z

← Older revision		Revision as of 15:56, 5 December 2015
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	https://en.wikipedia.org/wiki/Snell's_law		https://en.wikipedia.org/wiki/Snell's_law

	~~scienceworld.wolfram.com/physics/SnellsLaw.html~~

	==References==		==References==

Nsingh49 at 19:55, 5 December 2015

2015-12-05T19:55:17Z

← Older revision		Revision as of 15:55, 5 December 2015
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	~~==Snell's Law==~~

	Snell's Law (also known as the Snell-Descartes Law and the Law of Refraction) describes the relationship between angles of incidence and refraction for a wave impinging on an interface between two different mediums with correlating indices of refraction. We derive this formula from the bending of light waves and the speed of wavefronts in two different media. In short, describing the relationship between the angles and velocities of waves.		Snell's Law (also known as the Snell-Descartes Law and the Law of Refraction) describes the relationship between angles of incidence and refraction for a wave impinging on an interface between two different mediums with correlating indices of refraction. We derive this formula from the bending of light waves and the speed of wavefronts in two different media. In short, describing the relationship between the angles and velocities of waves.

	~~===A Mathematical Model===~~		[[File:SnellsLawAngles1.png\|thumb\|right\|Snell's Law Outlook]]

	~~Snell's Law equals the ratio of material velocities V1 and V2 to the sine's of incident (Q1) and refracted (Q2) angles.~~		===History===

			Although, named after the Dutch astronomer Willebrord Snellis (1580-1626), the law was first accurately depicted by Ibn Sahl (c. 940-1000). Sahl was a Muslim physicist of Baghdad who made us of it to work out different shapes of lenses that were able to focus light with no geometric aberrations, known as anaclastic lenses. In later years, the law was rediscovered by Thomas Harriot in 1602, although not published derived a similiar mathematically equivalent form, which remained unpublished during his lifetime. In French, Snell's Law is called "la loi de Descartes" or "loi de Snell-Descartes."

			===A Mathematical Model===

			Snell's Law equals the ratio of material velocities V1 and V2 to the sine's of incident (Q1) and refracted (Q2) angles.

	~~====A Computational Model====~~		[[File:Snells_Law.jpeg]]

	~~How do we visualize or predict using this topic. Consider embedding some vpython code here [https~~:/~~/trinket.io/glowscript/31d0f9ad9e Teach hands-on with GlowScript]~~		:<math>\frac{\sin\theta_1}{\sin\theta_2} = \frac{v_1}{v_2} = \frac{\lambda_1}{\lambda_2} = \frac{n_2}{n_1}</math>

	~~===First Law===~~

	The first law of thermodynamics defines the internal energy (E) as equal to the difference between heat transfer (Q) ''into'' a system and work (W) ''done by'' the system. Heat removed from a system would be given a negative sign and heat applied to the system would be given a positive sign. Internal energy can be converted into other types of energy because it acts like potential energy. Heat and work, however, cannot be stored or conserved independently because they depend on the process. This allows for many different possible states of a system to exist. There can be a process known as the adiabatic process in which there is no heat transfer. This occurs when a system is full insulated from the outside environment. The implementation of this ~~law also brings about another useful state variable, '''enthalpy'''.~~		To manipulate this equation:

	~~====A Mathematical Model====~~

	~~E2 - E1~~ = ~~Q - W~~		:<math>{n_1\sin\theta_1} = {n_2\sin\theta_2}</math>

	~~==Second Law==~~		Where n1 and n2 are the indices of refraction of the two media and the degrees(thetas) are the angles the incident and transmitted rays , respectively, take on with their normal state.

	The second law states that there is another useful variable of heat, entropy (S). Entropy can be described as the disorder or chaos of a system, but in physics, we will just refer to it as another variable like enthalpy or temperature. For any given physical process, the combined entropy of a system and the environment remains a constant if the process can be reversed. The second law also states that if the physical process is irreversible, the combined entropy of the system and the environment must increase. Therefore, the final entropy must be greater than the initial entropy.		===Examples===

	===~~Mathematical Models~~===

	~~delta S = delta Q/T~~		A beam of light travels through water and hits a glass surface. The angle between the incident beam and the normal to the glass surface is 23 degrees. The index of refraction of water is 1.33 and the index of refraction of this type of glass is 1.65. What is the refracted angle?
	~~Sf = Si (reversible process)~~
	~~Sf > Si (irreversible process)~~

	~~===Examples===~~		[[File:ExampleProb1.jpg\|thumb\|right]]

	~~'''Reversible process'''~~: Ideally forcing a flow through a constricted pipe, where there are no boundary layers. As the flow moves through the constriction, the pressure, volume and temperature change, but they return to their normal values once they hit the downstream. This return to the variables' original values allows there to be no change in entropy. It is often known as an isentropic process.		:<math>{n_1\sin\theta_1} = {n_2\sin\theta_2}</math>

	~~'''Irreversible process'''~~: When a hot object and cold object are put in contact with each other, eventually the heat from the hot object will transfer to the cold object and the two will reach the same temperature and stay constant at that temperature, reaching equilibrium. However, once those objects are separated, they will remain at that equilibrium temperature until something else acts upon it. The objects do not go back to their original temperatures so there is a change in entropy.		:<math>{\sin\theta_2} = \frac{n_1\sin\theta_1}{n_2}</math>

	==~~Connectedness==~~		:<math> {\theta_2} = arcsin\frac{1.33\sin23}{1.65}= 18.4 degrees </math>
	~~#How is this topic connected to something that you are interested in?~~
	~~#How is it connected to your major?~~
	~~#Is there an interesting industrial application?~~

	==~~History~~==		===Connectedness===

	~~Thermodynamics was brought up as~~ a ~~science~~ in ~~the 18th~~ and ~~19th centuries. However, it was first brought up by Galilei, who introduced~~ the ~~concept~~ of ~~temperature~~ and ~~invented the first thermometer. G~~. ~~Black first introduced the word 'thermodynamics'. Later~~, ~~G. Wilke introduced another unit of measurement known as the calorie that measures heat. The~~ idea of thermodynamics was brought up by Nicolas Leonard Sadi Carnot. He is often known as "the father of thermodynamics". It all began with the development of the steam engine during the Industrial Revolution. He devised an ideal cycle of operation. During his observations and experimentations, he had the incorrect notion that heat is conserved, however he was able to lay down theorems that led to the ~~development~~ of ~~thermodynamics. In the 20th century~~, the ~~science~~ of thermodynamics became a conventional term and a basic division of physics. Thermodynamics dealt with the study of general properties of physical systems under equilibrium and the conditions necessary to obtain equilibrium.		Snell's Law plays a large role in understanding refraction and the basic topic of light traveling through different media and forums. Although not studied on our final exam, we can still utilize this topic and idea to understand the wavelike movement of light, known as the movement of electromagnetic radiation.

	== See also ==		== See also ==

	~~Are there related topics or categories in this wiki resource for the curious reader to explore? How does this topic fit into that context?~~		http://www.physicsbook.gatech.edu/Lenses
			http://www.physicsbook.gatech.edu/Light_Refraction:_Bending_of_light

	===Further reading===		===Further reading===

	~~Books~~, ~~Articles or other print media on this topic~~		Matter & Interactions, Vol. II: Electric and Magnetic Interactions, 4nd Edition by R. Chabay & B. Sherwood (John Wiley & Sons 2015)

			https://www.math.ubc.ca/~cass/courses/m309-01a/chu/Fundamentals/snell.htm

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

	~~Internet resources on this topic~~		http://www.physicsclassroom.com/class/refrn/Lesson-2/Snell-s-Law

			https://en.wikipedia.org/wiki/Snell's_law

			scienceworld.wolfram.com/physics/SnellsLaw.html

	==References==		==References==

	~~https~~:~~//www~~.~~grc~~.~~nasa.gov/www/k-12/airplane/thermo0.html~~		Matter & Interactions, Vol. II: Electric and Magnetic Interactions, 4nd Edition by R. Chabay & B. Sherwood (John Wiley & Sons 2015)
	http://hyperphysics.phy-astr.gsu.edu/hbase/~~thermo/thereq.html~~
	~~https:~~/~~/www.grc.nasa.gov/www/k-12/airplane/thermo2~~.html		http://hyperphysics.phy-astr.gsu.edu/hbase/geoopt/refr.html
	~~http://www.phys.nthu.edu.tw/~thschang/notes/GP21.pdf~~
	~~http://www.eoearth.org/view/article/153532/~~

	[[Category:~~Which Category did you place this in?~~]]		[[Category:Radiation]]

Nsingh49 at 19:06, 5 December 2015

2015-12-05T19:06:00Z

← Older revision		Revision as of 15:06, 5 December 2015
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	==~~Thermodynamics~~==		==Snell's Law==

	~~Nitin Singh Claimed~~		Snell's Law (also known as the Snell-Descartes Law and the Law of Refraction) describes the relationship between angles of incidence and refraction for a wave impinging on an interface between two different mediums with correlating indices of refraction. We derive this formula from the bending of light waves and the speed of wavefronts in two different media. In short, describing the relationship between the angles and velocities of waves.

	===~~Zeroth Law~~===		===A Mathematical Model===

			Snell's Law equals the ratio of material velocities V1 and V2 to the sine's of incident (Q1) and refracted (Q2) angles.

	The zeroth law states that if two systems are at thermal equilibrium at the same time as a third system, then all of the systems are at equilibrium with each other. If systems A and C are in thermal equilibrium with B, then system A and C are also in thermal equilibrium with each other. There are underlying ideas of heat that are also important. The most prominent one is that all heat is of the same kind. As long as the systems are at thermal equilibrium, every unit of internal energy that passes from one system to the other is balanced by the same amount of energy passing back. This also applies when the two systems or objects have different atomic masses or material.

	~~====A Mathematical Model====~~

	~~If A = B and A = C, then B = C~~
	~~A = B = C~~

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

Nsingh49 at 03:45, 30 November 2015

2015-11-30T03:45:32Z

← Older revision		Revision as of 23:45, 29 November 2015
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	==Thermodynamics==		==Thermodynamics==

	This topics focuses on energy work of a system but it can only deal with a large scale response to heat in a system. '''Thermodynamics''' is the study of the work, heat and energy of a system. The smaller scale gas interactions can explained using the kinetic theory of gases. There are three fundamental laws that go along with the topic of thermodynamics. They are the zeroth law, the first law, and the second law. These laws help us understand predict the the operation of the physical system. In order to understand the laws, you must first understand thermal equilibrium. [[Thermal equilibrium]] is reached when a object that is at a higher temperature is in contact with an object that is at a lower temperature and the first object transfers heat to the latter object until they approach the same temperature and maintain that temperature constantly. It is also important to note that any thermodynamic system in thermal equilibrium possesses internal energy.		Nitin Singh Claimed

	===Zeroth Law===		===Zeroth Law===

Nsingh49: Nitin Singh

2015-11-30T03:44:44Z

Nitin Singh

New page

==Thermodynamics==

This topics focuses on energy work of a system but it can only deal with a large scale response to heat in a system. '''Thermodynamics''' is the study of the work, heat and energy of a system. The smaller scale gas interactions can explained using the kinetic theory of gases. There are three fundamental laws that go along with the topic of thermodynamics. They are the zeroth law, the first law, and the second law. These laws help us understand predict the the operation of the physical system. In order to understand the laws, you must first understand thermal equilibrium. [[Thermal equilibrium]] is reached when a object that is at a higher temperature is in contact with an object that is at a lower temperature and the first object transfers heat to the latter object until they approach the same temperature and maintain that temperature constantly. It is also important to note that any thermodynamic system in thermal equilibrium possesses internal energy.

===Zeroth Law===

The zeroth law states that if two systems are at thermal equilibrium at the same time as a third system, then all of the systems are at equilibrium with each other. If systems A and C are in thermal equilibrium with B, then system A and C are also in thermal equilibrium with each other. There are underlying ideas of heat that are also important. The most prominent one is that all heat is of the same kind. As long as the systems are at thermal equilibrium, every unit of internal energy that passes from one system to the other is balanced by the same amount of energy passing back. This also applies when the two systems or objects have different atomic masses or material.

====A Mathematical Model====

If A = B and A = C, then B = C
A = B = C

====A Computational Model====

How do we visualize or predict using this topic. Consider embedding some vpython code here [https://trinket.io/glowscript/31d0f9ad9e Teach hands-on with GlowScript]

===First Law===

The first law of thermodynamics defines the internal energy (E) as equal to the difference between heat transfer (Q) ''into'' a system and work (W) ''done by'' the system. Heat removed from a system would be given a negative sign and heat applied to the system would be given a positive sign. Internal energy can be converted into other types of energy because it acts like potential energy. Heat and work, however, cannot be stored or conserved independently because they depend on the process. This allows for many different possible states of a system to exist. There can be a process known as the adiabatic process in which there is no heat transfer. This occurs when a system is full insulated from the outside environment. The implementation of this law also brings about another useful state variable, '''enthalpy'''.

====A Mathematical Model====

E2 - E1 = Q - W

==Second Law==

The second law states that there is another useful variable of heat, entropy (S). Entropy can be described as the disorder or chaos of a system, but in physics, we will just refer to it as another variable like enthalpy or temperature. For any given physical process, the combined entropy of a system and the environment remains a constant if the process can be reversed. The second law also states that if the physical process is irreversible, the combined entropy of the system and the environment must increase. Therefore, the final entropy must be greater than the initial entropy.

===Mathematical Models===

delta S = delta Q/T
Sf = Si (reversible process)
Sf > Si (irreversible process)

===Examples===

'''Reversible process''': Ideally forcing a flow through a constricted pipe, where there are no boundary layers. As the flow moves through the constriction, the pressure, volume and temperature change, but they return to their normal values once they hit the downstream. This return to the variables' original values allows there to be no change in entropy. It is often known as an isentropic process.

'''Irreversible process''': When a hot object and cold object are put in contact with each other, eventually the heat from the hot object will transfer to the cold object and the two will reach the same temperature and stay constant at that temperature, reaching equilibrium. However, once those objects are separated, they will remain at that equilibrium temperature until something else acts upon it. The objects do not go back to their original temperatures so there is a change in entropy.

==Connectedness==
#How is this topic connected to something that you are interested in?
#How is it connected to your major?
#Is there an interesting industrial application?

==History==

Thermodynamics was brought up as a science in the 18th and 19th centuries. However, it was first brought up by Galilei, who introduced the concept of temperature and invented the first thermometer. G. Black first introduced the word 'thermodynamics'. Later, G. Wilke introduced another unit of measurement known as the calorie that measures heat. The idea of thermodynamics was brought up by Nicolas Leonard Sadi Carnot. He is often known as "the father of thermodynamics". It all began with the development of the steam engine during the Industrial Revolution. He devised an ideal cycle of operation. During his observations and experimentations, he had the incorrect notion that heat is conserved, however he was able to lay down theorems that led to the development of thermodynamics. In the 20th century, the science of thermodynamics became a conventional term and a basic division of physics. Thermodynamics dealt with the study of general properties of physical systems under equilibrium and the conditions necessary to obtain equilibrium.

== See also ==

Are there related topics or categories in this wiki resource for the curious reader to explore? How does this topic fit into that context?

===Further reading===

Books, Articles or other print media on this topic

===External links===

Internet resources on this topic

==References==

https://www.grc.nasa.gov/www/k-12/airplane/thermo0.html
http://hyperphysics.phy-astr.gsu.edu/hbase/thermo/thereq.html
https://www.grc.nasa.gov/www/k-12/airplane/thermo2.html
http://www.phys.nthu.edu.tw/~thschang/notes/GP21.pdf
http://www.eoearth.org/view/article/153532/

[[Category:Which Category did you place this in?]]

← Older revision		Revision as of 23:21, 5 December 2015
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	https://en.wikipedia.org/wiki/Snell's_law		https://en.wikipedia.org/wiki/Snell's_law


	==References==		==References==