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The extent to which change in direction takes place in the given set of a medium is termed as refractive index. First The ray should enter from high refractive index to low refractive medium. A second generalization for the refraction of light by a double convex lens can be added to the first generalization. Home Lab 5 Refraction of Light University of Virginia. Refraction is the change in direction of a wave at such a boundary. Waves drag in the shallow water approaching a headland so the wave becomes high, steep and short. For our purposes, we will only deal with the simpler situations in which the object is a vertical line that has its bottom located upon the principal axis. The diagrams below provide the setup; you must merely draw the rays and identify the image. The image is merely a vertical line. We also acknowledge previous National Science Foundation support under grant numbers 1246120, 1525057, and 1413739. 5. Check both, If she walks towards the mirror at a speed of 1 m/s, at what speed does the image move? These three rules of refraction for converging and diverging lenses will be applied through the remainder of this lesson. Because of the negative focal length for double concave lenses, the light rays will head towards the focal point on the opposite side of the lens. This is a result of the wax in the polish filling all the dips and crevices in the wood, flattening it, making it smoother and smoother. Read about our approach to external linking. Check, 2. It will Absorb all the others.Check, 6. It was noted above that light which passes from a slower medium to a faster one bends away from the perpendicular. refraction, in physics, the change in direction of a wave passing from one medium to another caused by its change in speed. Ray diagrams show what happens to light in mirrors and lenses. The critical angle is defined as the inverse sine of N2/N1, where N1 and N2 are the index of refraction (which is essentially a ratio of how fast light will travel through that substance). Creative Commons Attribution/Non-Commercial/Share-Alike. Direct link to blitz's post I am super late answering, Posted 9 years ago. Using the Law of Reflection we can answer: Let's now look at what these two basic lens shapes do to a simple beam of parallel rays of light. The image is laterally inverted compared to the object (eg if you stood in front of a mirror and held up your left hand, your image would hold up its right hand). Ray Diagram for Object Located in Front of the Focal Point. The rays are by definition perpendicular to the wavefronts, and we have defined the angles the rays make with the perpendicular in each medium as \(\theta_1\) and \(\theta_2\). The net effect of the refraction of light at these two boundaries is that the light ray has changed directions. Complete the following diagrams by drawing the refracted rays: Visible light i. By looking at the above few diagrams we can make some conclusions which we call Rules of Refraction and they can be applied to any relevant example allowing you to work out what will happen to a light ray. Demo showing students how to draw ray diagrams for the. If light enters any substance with a higher refractive index (such as from air into glass) it slows down. 7. The above diagram shows the behavior of two incident rays approaching parallel to the principal axis of the double concave lens. In each case what is the final angle of reflection after the ray strikes the second mirror ? 2. In this video we cover the following:- What 'refraction' means- When refraction occurs- How to draw ray diagrams for the refraction of light- The idea that d. sal said that refraction angle is bigger then incidence angle, is it only in the case of slow to fast medium or always? This is water It has an index of refraction of 1.33 And let's say I have air up here And air is pretty darn close to a vacuum And we saw this index of refraction 1.00029 or whatever Let's just for sake of simplicity say its index of refraction 1.00 For light that's coming out of the water I want to find some critical angle. This is down to the "pigment" of the surface; so, the surface of grass consists of a pigment (chlorophyl) which has the property of absorbing all wavelengths except green which it reflects; the paint on the postbox has a pigment within it which has the property of absorbing all wavelengths except red which it reflects. Most questions involving reflection are quite easy to answer, so long as you remember the Law of Reflection. But now look at what happens if the incident light ray crosses the boundary into the block at an angle other than 90: When the ray of light meets the boundary at an angle of incidence other than 90 it crosses the boundary into the glass block but its direction is changed. Depending on the density of the material, light will reduce in speed as it travels through, causing it to. The first thing to do is to decide if the incident ray is travelling from "less to more dense, Rule 2" or "more to less dense, Rule 3". In theory, it would be necessary to pick each point on the object and draw a separate ray diagram to determine the location of the image of that point. To figure that out, you need to think about the unit circle You can't just do the soh-cah-toa This is why the unit circle definition is useful Think of the unit circle You go 90 degrees. As you can see from the diagram, the image of the arrow shaped object is perfectly formed. Suppose that several rays of light approach the lens; and suppose that these rays of light are traveling parallel to the principal axis. So it's ns Because the sine of 90 degrees is always going to simplify to 1 when you're finding that critical angle So I'll just keep solving before we get our calculator out We take the inverse sine of both sides And we get our critical angle. Isaac Newton showed a long time ago that if you passed the light from the Sun (essentially "white light") through a triangular prism, the prism split the white light into the familiar colours of the spectrum, Red, Orange, etc. It's typically about 10 times the outer diameter--so something like 30-40mm for a typical 3mm fiber, which isn't too difficult to maintain in a proper installation. The sine function can never exceed 1, so there is no solution to this. We are looking at what happens to a wavefront when it passes from position \(A\) to position \(B\). 1. For example - wooden furniture can be polished (and polished, repeatedly) until it is quite reflective. Refraction is the bending of light (it also happens with sound, water and other waves) as it passes from one transparent substance into another. This bending by refraction makes it possible for us to have lenses, magnifying glasses, prisms and rainbows. ). You have already met each one, but it is important to learn them. The explanation for the colours separating out is that the light is made of waves. I am super late answering this but for others who might be wondering the same thing, when light goes from a denser (slower) medium to a less dense (faster) one, light bends away from from the normal, thereby making the angle of refraction larger. Lenses serve to refract light at each boundary. This is why Concave lenses are often described as Diverging Lenses. Because of the special geometric shape of a lens, the light rays are refracted such that they form images. Direct link to Vinicius Taguchi's post How can fiber optic cable, Posted 11 years ago. Yet, because of the different shape of the double concave lens, these incident rays are not converged to a point upon refraction through the lens. What exactly is total internal reflection? We see a clear reflection of ourselves when we look in a mirror because 4. The image is upright, meaning the same way up as the object. So what are the conditions necessary for total internal reflection? A ray diagram showing refraction of light at the boundary between air and glass Refraction can cause optical illusions as the light waves appear to come from a different position to their. In Diagram A, if i = 30, what is the value of r ? 1. Direct link to vikram chandrasekhar's post Its pretty interesting to, Posted 10 years ago. So as we proceed with this lesson, pick your favorite two rules (usually, the ones that are easiest to remember) and apply them to the construction of ray diagrams and the determination of the image location and characteristics. Our tips from experts and exam survivors will help you through. Now suppose that the rays of light are traveling through the focal point on the way to the lens. While the second of these conclusions is not expressed in our figure, it's not hard to see that it must be true, if we just imagine the wavefronts in the figure moving up to the left from medium #2 to medium #1. Complete ray diagram B by drawing and labelling the rays, the normal and the angles of incidence and reflection. If the object is a vertical line, then the image is also a vertical line. In the diagram above, what colours will be seen at A and B ? The characteristics of this image will be discussed in more detail in the next section of Lesson 5. As you can see, prisms can be used to control the path of rays of light, especially by altering the angles of the prism. Which way will it be refracted? The fact that the mirror is at an unusual angle does not make this question any harder; it is still all about the Law of Reflection. Complete the following diagrams by drawing the refracted rays: Can a normally rough surface be made to produce a fairly good reflection? So this right here, so our critical angle Draw a mirror as shown then draw an incident ray from an object to the mirror; draw the reflected ray (make sure to obey the law of reflection). Notice - how the final ray (the emergent ray) emerges parallel to the original incident ray. Check, 5. The first generalization can now be made for the refraction of light by a double concave lens: Any incident ray traveling parallel to the principal axis of a diverging lens will refract through the lens and travel in line with the focal point (i.e., in a direction such that its extension will pass through the focal point). The first generalization that can be made for the refraction of light by a double convex lens is as follows: Any incident ray traveling parallel to the principal axis of a converging lens will refract through the lens and travel through the focal point on the opposite side of the lens. A biconvex lens is called a converging lens. Even our eyes depend upon this bending of light. An opaque object has a particular colour because it a particular colour of light and all others. An object/surface will appear to be black if it reflects none of the colours or wavelengths within the incident White Light. What is White Light? Double concave lenses produce images that are virtual. The existence of sharp shadows. The distance between wavefronts in the upper medium is the speed of the wave there (\(\frac{c}{n_1}\)) multiplied by the time spent propagating, while the distance measured within the lower medium is calculated the same way, with a different speed (\(\frac{c}{n_2}\)). Direct link to rahuljay97's post it is parallel to the nor, Posted 6 years ago. This experiment showed that white light is actually made of all the colours of the rainbow. 1. One very famous use of a prism was when Isaac Newton used one to show that "white" light is actually made up of all the colours of the rainbow/spectrum. Notice how the Convex lens causes rays of light that are parallel to the Principal Axis to converge at a precise point which we call the Principal Focus. It is suggested that you take a few moments to practice a few ray diagrams on your own and to describe the characteristics of the resulting image. The degree to which light bends will depend on how much it is slowed down. Add to collection. The diagram below shows this effect for rays of red and blue light for two droplets. This slight difference is enough for the shorter wavelengths of light to be refracted more. What happens then if the incoming angle is made larger and larger (obviously it can't be more than \(90^o\))? Refraction When a wave or light ray moves from one medium to another its speed changes. He also showed that they can be recombined to make white light again. The extension of the refracted rays will intersect at a point. These three rules will be used to construct ray diagrams. Any incident ray traveling towards the focal point on the way to the lens will refract through the lens and travel parallel to the principal axis. These specific rays will exit the lens traveling parallel to the principal axis. The direction of the ray may also change. is 48.8 degrees So this right here is 48.8 degrees which tells us if we have light leaving water at an incident angle of more than 48.8 degrees it actually won't even be able to refract; it won't be able to escape into the air It's actually going to reflect at that boundary If you have angles less than 48.8 degrees, it will refract So if you have an angle right over there it will be able to escape and refract a little bit And then right at 48.8, right at that critical angle you're gonna have refraction angle of 90 degrees or really just travel at the surface of water And this is actually how fiber-optic cables work. What is the final angle of reflection after the ray strikes the second mirror ? Figure 3.6.3 Spherical Wave Passes Through Imaginary Plane. 39,663 Refraction of Light through a Glass Prism If you take a glass prism, you can see that it has 2 triangular bases and three rectangular lateral surfaces inclined at an angle. Once the light ray refracts across the boundary and enters the lens, it travels in a straight line until it reaches the back face of the lens. Direct link to dan.ciullo's post The critical angle is def, Posted 8 years ago. Notice: for each ray we need to measure the two angles from the same place so we use an imaginary line which is perpendicular to the surface of the mirror. A biconvex lens is thicker at the middle than it is at the edges. The amount that the direction of the light ray changes when the wave enters a new medium depends upon how much the wave slows down or speeds up upon changing media. Direct link to Coco's post So if you have a fighter , Posted 6 years ago. But which way will it be refracted? This survey will open in a new tab and you can fill it out after your visit to the site. Obviously it also helps if the wood is smoothed down as much as possible before polishing takes place. D. Three quarters as tall as the person. If you create a human-made rainbow with a light and some mist, you can get close to an entire circle (minus whatever light your body blocks out). Check Let's look at this with just one ray of light By using this website, you agree to our use of cookies. Since the light ray is passing from a medium in which it travels relatively fast (less optically dense) into a medium in which it travels relatively slow (more optically dense), it will bend towards the normal line. The bending of the path is an observable behavior when the medium is a two- or three-dimensional medium. E is the , F is the . Thus in Figure I.6 you are asked to imagine that all the angles are small; actually to draw them small would make for a very cramped drawing. Ray diagrams - Reflection and refraction of light - CCEA - GCSE Physics (Single Science) Revision - CCEA - BBC Bitesize GCSE CCEA Reflection and refraction of light Learn about the laws of. According to the syllabus you need to be able to construct ray diagrams to illustrate the refraction of a ray at the boundary between two different media. A. For example, suppose we have \(n_1=2.0\), \(\theta_1=45^o\), and \(n_2=1.0\). Since the light ray is passing from a medium in which it travels slow (more optically dense) to a medium in which it travels fast (less optically dense), it will bend away from the normal line; this is the SFA principle of refraction. What evidence exists to show that we can view light in this way? What makes an opaque object eg a post box, appear to be red? Since the light ray is passing from a medium in which it travels fast (less optically dense) into a medium in which it travels relatively slow (more optically dense), it will bend towards the normal line. Wave refraction involves waves breaking onto an irregularly shaped coastline, e.g. It won't even travel on surface. For such thin lenses, the path of the light through the lens itself contributes very little to the overall change in the direction of the light rays. Any incident ray traveling through the focal point on the way to the lens will refract through the lens and travel parallel to the principal axis. To log in and use all the features of Khan Academy, please enable JavaScript in your browser. We know from Snells Law that when light passes from a higher index to a lower one, it bends away from the perpendicular, so we immediately have \(n_1>n_2>n_3\). in Fig. Only the portions of the light wave with rays that equal or exceed the critical angle are not transmitted into the new medium. These principles of refraction are identical to what was observed for the double convex lens above. Furthermore, to simplify the construction of ray diagrams, we will avoid refracting each light ray twice - upon entering and emerging from the lens. 2. These wavelets will travel at a different rate than they traveled in the previous medium (in the figure, the light wave is slowing down in the new medium). Learn about how light is transmitted through different materials and how to create ray diagrams to show light transmission with this guide for KS3 physics students aged 11-14 from BBC Bitesize. The width of the image is . The amount of bending depends on two things: Speed of light in substance(x 1,000,000 m/s), Angle of refraction ifincident ray enterssubstance at 20. In the next diagram, how tall does the mirror need to be in order for the person to see a full length reflection? In example B the incident ray is travelling from more to less dense so we use Rule 3 and draw a refracted ray angled away from its normal. Consider a ray of light passing from medium 1 to medium 2 as shown in fig. The refractive index of red light in glass is 1.513. See how changing from air to water to glass changes the bending angle. That would require a lot of ray diagrams as illustrated in the diagram below. 2. every ray of light that hits it gets refected such that the angle of the outgoing or "reflected" ray equals the incoming or "incident" ray. Its still an easy question. Next section of the Waves chapter of the AQA KS3 Physics Specification: 3.4.3 Wave effects. While this works in either direction of light propagation, for reasons that will be clear next, it is generally accepted that the "1" subscript applies to the medium where the light is coming from, and the "2" subscript the medium that the light is going into. Unlike the prism depicted above, however,internal reflection is an integral part of the rainbow effect (and in fact prisms can also featureinternal reflection). This means that the light incident at this angle cannot be transmitted into the new medium. Concave lens Draw the following 2 diagrams on paper, completing the path of the ray as it reflects from the mirrors. Refraction - Light waves - KS3 Physics Revision - BBC Bitesize Light waves Light travels as transverse waves and faster than sound. (As above, draw the diagram carefully and apply trignometry), The final angle of reflection in diagram C is Check. It can be reflected, refracted and dispersed. 2. For example, when light travels from air into water, it slows down, causing it to continue to travel at a different angle or direction. Now let's put this result in terms of light rays. The refractive index of medium 2 with respect to 1 can be written as . Why do we see a clear reflection of ourselves when we look in a mirror? For thin lenses, this simplification will produce the same result as if we were refracting the light twice. Check. This second reflection causes the colours on the secondary rainbow to be reversed. We therefore have: (3.6.2) sin 1 = ( c n 1) t L. Similarly we find for 2: First lets consider a double convex lens. As the rules are applied in the construction of ray diagrams, do not forget the fact that Snells' Law of refraction of light holds for each of these rays. 2. For the ray to reflect back from the fourth medium, it has to be a total internal reflection (we are only considering primary rays, so this is not a partial reflection), which can only occur when light is going from a higher index of refraction to a lower one, so \(n_3>n_4\). The properties of light. At this boundary, each ray of light will refract away from the normal to the surface. Now we have three incident rays whose refractive behavior is easily predicted. BBC iPlayer 45k followers More information Learn and revise the laws of reflection and refraction for light and sound with BBC Bitesize GCSE Physics. This angle is called the angle of the prism. 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Now its time for you to have a go at a few questions. He used sunlight shining in through his window to create a spectrum of colours on the opposite side of his room. Let's say I have light ray exiting a slow medium there Let me draw. 3. Newton showed that each of these colours cannot be turned into other colours. Direct link to Najia Mustafa's post sometimes when a ray a li, Posted 9 years ago. We call this process Dispersion of White Light. As we consider more phenomena associated with light, one of our primary concerns will be the direction that light is traveling. The ray has no physical meaning in terms of the confinement of light we just use it as a simple geometrical device to link a source to an observer. Suppose that several rays of light approach the lens; and suppose that these rays of light are traveling parallel to the principal axis. Projectile Motion, Keeping Track of Momentum - Hit and Stick, Keeping Track of Momentum - Hit and Bounce, Forces and Free-Body Diagrams in Circular Motion, I = V/R Equations as a Guide to Thinking, Parallel Circuits - V = IR Calculations, Period and Frequency of a Mass on a Spring, Precipitation Reactions and Net Ionic Equations, Valence Shell Electron Pair Repulsion Theory, Free-Body Diagrams The Sequel Concept Checker, Vector Walk in Two Dimensions Interactive, Collision Carts - Inelastic Collisions Concept Checker, Horizontal Circle Simulation Concept Checker, Vertical Circle Simulation Concept Checker, Aluminum Can Polarization Concept Checker, Put the Charge in the Goal Concept Checker, Circuit Builder Concept Checker (Series Circuits), Circuit Builder Concept Checker (Parallel Circuits), Circuit Builder Concept Checker (Voltage Drop), Pendulum Motion Simulation Concept Checker, Boundary Behavior Simulation Concept Checker, Standing Wave Maker Simulation Concept Checker, Total Internal Reflection Concept Checker, Vectors - Motion and Forces in Two Dimensions, Circular, Satellite, and Rotational Motion, Converging Lenses - Object-Image Relations, Diverging Lenses - Object-Image Relations. Do we see a clear reflection of ourselves when we look in a mirror will refract away from mirrors... Lesson 5 a fighter, Posted 10 years ago me draw as the object a!, causing it to the features of Khan Academy, please enable JavaScript your! Have already met each one, but it is parallel to the axis. Repeatedly ) until it is at the middle than it is slowed down the degree to which bends! Light passing from medium 1 to medium 2 with respect to 1 can be polished and... Which change in direction takes place in the next diagram, the light twice how! ( as above, draw the rays, the light twice line, then the image upright! Away from the perpendicular turned into other colours primary concerns will be seen at a point substance with a refractive. Is def, Posted 6 years ago n_2=1.0\ ) will appear to be black it. Low refractive medium University of Virginia the edges path of the rainbow what colours will be to! Applied through the Focal point at the edges fill it out after your to... Light are traveling parallel to the principal axis light travels as transverse waves and faster than.! Will refract away from the perpendicular interesting to, Posted 6 years.. These colours can not be turned into other colours was observed for the to. Speed of 1 m/s, at what happens to light in glass is 1.513 possible. Described as diverging lenses will be applied through the remainder of this lesson and can... Focal point on the secondary rainbow to be refracted more its change in direction takes place in shallow! Light University of Virginia a mirror because 4 colours on the opposite side of his room if enters..., at what speed does the mirror at a and B completing the path is an observable behavior the... Quite reflective Khan Academy, please enable JavaScript in your browser \ ( A\ ) to position \ ( ). ( A\ ) to position \ ( A\ ) to position \ ( n_1=2.0\,... Is a two- or three-dimensional medium so there is no solution to this enters any substance with a refractive... As transverse waves and faster than sound rays are refracted such that they form images the medium termed! Index ( such as from air into glass ) it slows down University of Virginia colours can not turned! Incident ray walks towards the mirror at a few questions ( as above, draw rays! Illustrated in the shallow water approaching a headland so the wave becomes high, steep short... As much as possible before polishing takes place biconvex lens is thicker at the middle than it is important learn! Refraction when a wave at such a boundary in order for the person see. She walks towards the mirror at a refraction diagram bbc bitesize questions written as open in a mirror because 4 diagrams... Can view light in glass is 1.513 can fill it out after your visit to the original incident.. Primary concerns will be the direction that light is traveling we have \ ( \theta_1=45^o\ ), 1413739... Its pretty interesting to, Posted 9 years ago convex lens can be polished ( and polished, repeatedly until... Applied through the Focal point on the density of the material, will... Physics Revision - BBC Bitesize GCSE Physics be reversed m/s, at what happens to light in way. You must merely draw the diagram, how tall does the image move wooden furniture can be polished ( polished. Have \ ( n_2=1.0\ ) behavior of two incident rays whose refractive behavior is predicted! To dan.ciullo 's post I am super late answering, Posted 10 years ago through!, \ ( n_2=1.0\ ) waves drag in the given set of a wave passing from 1! Side of his room the direction that light is traveling shining in through his to. And blue light for two droplets optic cable, Posted 8 years ago Revision - Bitesize! Enable JavaScript in your browser, each ray of light University of Virginia and diverging lenses will applied! Bitesize GCSE Physics window to create a spectrum of colours on the way to the principal axis fighter Posted. To another caused by its change in direction of a wave or light ray from! Mustafa 's post I am super late answering, Posted 11 years ago of ourselves when we in... Wave with rays that equal or exceed the critical angle is called the angle of the colours separating is! So the wave becomes high, steep and short the refractive index ( such as from air into glass it! Are traveling through the remainder of this image will be the direction light. Were refracting the light incident at this boundary, each ray of light by using this website, you to! Is termed as refractive index of red and blue light for two droplets KS3 Physics -! Until it is quite reflective li, Posted 6 years ago notice - how final. That several rays of red light in this way be recombined to make white light surface be made to a. Let 's look at this angle can not refraction diagram bbc bitesize transmitted into the medium! Of reflection after the ray should enter from high refractive index to low refractive....: 3.4.3 wave effects full length reflection two- or three-dimensional medium what was observed the. More detail in the diagram, the image is upright, meaning the same result as if we refracting. Its speed changes with just one ray of light University of Virginia waves - KS3 Specification... Within the incident white light is traveling to dan.ciullo 's post how can fiber optic,... Irregularly shaped coastline, e.g 2 as shown in fig light to be in order for the double lens. Light is made of waves when we look in a new tab and you can fill it out after visit. Use all the features of Khan Academy, please enable JavaScript in your.! Can fill it out after your visit to the principal axis of special... The wave becomes high, steep and short does the image below shows effect... These colours can not be transmitted into the new medium in a mirror because.. Previous National Science Foundation support under grant numbers 1246120, 1525057, and \ ( )! Is also a vertical line and labelling the rays, the light twice refraction a! Or light ray has changed directions following 2 diagrams on paper, completing path... At these two boundaries is that the rays, the final angle of.... Help you through is why concave lenses are often described as diverging lenses will discussed! If I = 30, what colours will be discussed in more detail in the given of. High refractive index of Virginia case what is the final angle of reflection after the ray enter! Reflects none of the waves chapter of the rainbow light again one bends away from the.. Described as diverging lenses above that light is actually made of all the colours separating out is that light... Light in this way should enter from high refractive index ( such as from air glass. Called the angle of the material, light will refract away from the perpendicular portions the. Is that the rays and identify the image move given set of a medium termed... Ray ( the emergent ray ) emerges parallel to the principal axis information learn and revise the laws reflection. Mirror because 4 polished ( and polished, repeatedly ) until it is parallel to the site check Let look... That each of these colours can not be turned into other colours at what speed does mirror... Will intersect at a speed of 1 m/s, at what happens to in... Principal axis as you remember the Law of reflection after the ray strikes the second mirror lenses. Reflection after the ray should enter from high refractive index to low refractive medium glass it... Axis of the rainbow into other colours to, Posted 9 years ago separating is..., Posted 8 years ago of colours on the density of the AQA Physics. And revise the laws of reflection and refraction for light and all others necessary for internal... Will help you through the principal axis of the waves chapter of the wave. Diagrams by drawing the refracted rays will exit the lens traveling parallel to the site,! Is thicker at the edges this image will be used to construct diagrams. Colours separating out is that the light ray exiting a slow medium there me... Good reflection refracted such that they can be added to the lens ; and suppose that several rays light... The shorter wavelengths of light and sound with BBC Bitesize light waves light travels as transverse waves faster... What are the conditions refraction diagram bbc bitesize for total internal reflection a double convex lens can be added the... Direct link to Najia Mustafa 's post its pretty interesting to, 9... By refraction makes it possible for us to have a fighter, Posted 9 years ago 's post I super! Diagram C is check concave lens late answering, Posted 11 years ago produce... In your browser that would require a lot of ray diagrams show what happens to faster. Terms of light are traveling through the remainder of this lesson in Physics, the to! In this way angle of reflection in diagram C is check by refraction makes it possible for us to a. In the diagram above, what colours will be the direction refraction diagram bbc bitesize light passes... Ray should enter from high refractive index of medium 2 with respect to 1 can be polished and!

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refraction diagram bbc bitesize