Home Lab 5 Refraction of Light University of Virginia. Check both, 5. Just like the double convex lens above, light bends towards the normal when entering and away from the normal when exiting the lens. Ray diagrams show what happens to light in mirrors and lenses. In the diagram above, what is the colour of the surface? a headland separated by two bays. Consider a ray of light passing from medium 1 to medium 2 as shown in fig. Once these incident rays strike the lens, refract them according to the three rules of refraction for double concave lenses. Notice - how the final ray (the emergent ray) emerges parallel to the original incident ray. It is very simple! 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". The part of the wave in the deeper water moves forward faster causing the wave to bend. A girl with a mouth 6 cm wide stands 3m from a flat mirror. That incident angle is going to be called our critical angle Anything larger than that will actually have no refraction It's actually not going to escape the slow medium It's just going to reflect at the boundary back into the slow medium Let's try to figure that out and I'll do it with an actual example So let's say I have water. Starting at the most dense, the order is: diamond, glass, water, air. Notice in the diagram above that we represent a ray of light as a straight line with an arrow to indicate its direction. 3. The following diagram shows the whole passage of the light ray into and out of the block. Understand the how light is reflected on a smooth and rough surface. Thats why it seems to move as you move, and why reaching the end of the rainbow is impossible (unless you can catch a leprechaun). 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. Check. If the object is merely a vertical object (such as the arrow object used in the example below), then the process is easy. The diagram to the right shows the path of a ray of monochromatic light as it hits the surfaces between four different media (only the primary ray is considered partial reflections are ignored). For a thin lens, the refracted ray is traveling in the same direction as the incident ray and is approximately in line with it. Direct link to Farzam's post By Fast and Slower medium, Posted 12 years ago. We call this change of direction of a light ray, refraction. We make use of these two types or shapes of lens because they refract light quite differently to each other and can therefore be used in various instruments such as telescopes, microscopes or spectacles ("glasses") to control the path of light. Which way will it be refracted? We therefore have: \[\sin\theta_1=\dfrac{\left(\frac{c}{n_1}\right)t}{L}\], \[\sin\theta_2=\dfrac{\left(\frac{c}{n_2}\right)t}{L}\]. These seven colours are remembered by the acronym ROY G BIV red, orange, yellow, green, blue, indigo and violet. This angle is called the angle of the prism. These rays of light will refract when they enter the lens and refract when they leave the lens. The answer to this should be pretty obvious now: We use cookies to provide you with a great experience and to help our website run effectively. So this right over here is going to be 1 So to figure this out, we can divide both sides by 1.33 So we get the sine of our critical angle is going to be equal to be 1 over 1.33 If you want to generalize it, this is going to be the index of refraction-- this right here is the index of refraction of the faster medium That right there we can call that index of refraction of the faster medium This right here is the index of refraction of the slower medium. Another good piece of evidence is the shadows that we see when there are eclipses. A ray diagram shows how light travels, including what happens when it reaches a surface. 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 . You might ask, what happens when the ray of light meets the other side of the glass block? 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. This angle is called the critical angle, and is computed by choosing the outgoing angle to be \(90^o\): \[n_1\sin\theta_c = n_2 \sin 90^o \;\;\;\Rightarrow\;\;\; \theta_c =\sin^{-1}\left(\dfrac{n_2}{n_1}\right)\], Figure 3.6.9 Partial and Total Internal Reflections By Incident Angle. The above diagram shows the behavior of two incident rays approaching parallel to the principal axis of the double concave lens. What makes an Opaque object appear a particular colour? 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. Furthermore, to simplify the construction of ray diagrams, we will avoid refracting each light ray twice - upon entering and emerging from the lens. Since the light ray is passing from a medium in which it travels relatively slow (more optically dense) to a medium in which it travels fast (less optically dense), it will bend away from the normal line. Check both, Would a person at A be able to see someone at B? Using ray diagrams to show how we see both luminous and non-luminous objects. Angle of the incident ray if the light is entering the substance at a greater angle, the amount of refraction will also be more noticeable. A ray of light passing from one medium to another along a Normal is NOT refracted. So prisms are used in a lot of optical instruments eg binoculars. If the object is a vertical line, then the image is also a vertical line. Step 1: Draw the reflected angle at the glass-liquid boundary When a light ray is reflected, the angle of incidence = angle of reflection Therefore, the angle of incidence (or reflection) is 90 - 25 = 65 Step 2: Draw the refracted angle at the glass-air boundary At the glass-air boundary, the light ray refracts away from the normal We can easily illustrate these 3 rules with 3 simple ray diagrams: Before we do, a few things to clarify This is a directed line that originates at the source of light, and ends at the observer of the light: Figure 3.6.2 Source and Observer Define a Ray. Critical incident angle and total internal reflection. In the three cases described above - the case of the object being located beyond 2F, the case of the object being located at 2F, and the case of the object being located between 2F and F - light rays are converging to a point after refracting through the lens. And if I had a incident angle larger than theta 3, like that So whatever that is, the light won't actually even travel along the surface it definitely won't escape. In the next diagram, how tall does the mirror need to be in order for the person to see a full length reflection? If the refracted rays are extended backwards behind the lens, an important observation is made. If an ocean wave approaches a beach obliquely, the part of the wave farther from the beach will move faster than the part closer in, and so the wave will swing around until it moves in a direction . These specific rays will exit the lens traveling parallel to the principal axis. If you want a challenge - draw a concave lens and then draw appropriate prisms over it to confirm that this lens does what we drew earlier. Let's consider a light ray travelling from air to glass. This page titled 3.6: Reflection, Refraction, and Dispersion is shared under a CC BY-SA 4.0 license and was authored, remixed, and/or curated by Tom Weideman directly on the LibreTexts platform. Refraction Rule for a Diverging 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). An incident ray that passes through the center of the lens will in effect continue in the same direction that it had when it entered the lens. The light bends towards the normal line. Demo showing students how to draw ray diagrams for the. 3. 3. For now, internalize the meaning of the rules and be prepared to use them. These rays of light will refract when they enter the lens and refract when they leave the lens. The angle 1 (shown on the right side of the diagram) is clearly the complement of the acute angle on the right-hand-side of the yellow triangle, which makes it equal to the acute angle on the left-hand-side of the yellow triangle. Any mirror length below the point where your ray hits the mirror is not needed! What exactly is total internal reflection? 1. the mirror surface is extremely flat and smooth and The rules merely describe the behavior of three specific incident rays. The light bends away from the normal line. As we consider more phenomena associated with light, one of our primary concerns will be the direction that light is traveling. Half as tall, from the ground. At the boundary between two transparent substances: The diagram shows how this works for light passing into, and then out of, a glass block. We already know that light, like any wave, travels in a direction perpendicular to its planes of constant phase: Figure 3.6.1 Light Waves Travel in Several Directions at Once. UCD: Physics 9B Waves, Sound, Optics, Thermodynamics, and Fluids, { "3.01:_Light_as_a_Wave" : "property get [Map MindTouch.Deki.Logic.ExtensionProcessorQueryProvider+<>c__DisplayClass228_0.b__1]()", "3.02:_Double-Slit_Interference" : "property get [Map MindTouch.Deki.Logic.ExtensionProcessorQueryProvider+<>c__DisplayClass228_0.b__1]()", "3.03:_Diffraction_Gratings" : "property get [Map MindTouch.Deki.Logic.ExtensionProcessorQueryProvider+<>c__DisplayClass228_0.b__1]()", "3.04:_Single-Slit_Diffraction" : "property get [Map MindTouch.Deki.Logic.ExtensionProcessorQueryProvider+<>c__DisplayClass228_0.b__1]()", "3.05:_Thin_Film_Interference" : "property get [Map MindTouch.Deki.Logic.ExtensionProcessorQueryProvider+<>c__DisplayClass228_0.b__1]()", "3.06:_Reflection_Refraction_and_Dispersion" : "property get [Map MindTouch.Deki.Logic.ExtensionProcessorQueryProvider+<>c__DisplayClass228_0.b__1]()", "3.07:_Polarization" : "property get [Map MindTouch.Deki.Logic.ExtensionProcessorQueryProvider+<>c__DisplayClass228_0.b__1]()" }, { "00:_Front_Matter" : "property get [Map MindTouch.Deki.Logic.ExtensionProcessorQueryProvider+<>c__DisplayClass228_0.b__1]()", "01:_Waves" : "property get [Map MindTouch.Deki.Logic.ExtensionProcessorQueryProvider+<>c__DisplayClass228_0.b__1]()", "02:_Sound" : "property get [Map MindTouch.Deki.Logic.ExtensionProcessorQueryProvider+<>c__DisplayClass228_0.b__1]()", "03:_Physical_Optics" : "property get [Map MindTouch.Deki.Logic.ExtensionProcessorQueryProvider+<>c__DisplayClass228_0.b__1]()", "04:_Geometrical_Optics" : "property get [Map MindTouch.Deki.Logic.ExtensionProcessorQueryProvider+<>c__DisplayClass228_0.b__1]()", "05:_Fundamentals_of_Thermodynamics" : "property get [Map MindTouch.Deki.Logic.ExtensionProcessorQueryProvider+<>c__DisplayClass228_0.b__1]()", "06:_Applications_of_Thermodynamics" : "property get [Map MindTouch.Deki.Logic.ExtensionProcessorQueryProvider+<>c__DisplayClass228_0.b__1]()", "07:_Fluid_Mechanics" : "property get [Map MindTouch.Deki.Logic.ExtensionProcessorQueryProvider+<>c__DisplayClass228_0.b__1]()", "zz:_Back_Matter" : "property get [Map MindTouch.Deki.Logic.ExtensionProcessorQueryProvider+<>c__DisplayClass228_0.b__1]()" }, 3.6: Reflection, Refraction, and Dispersion, [ "article:topic", "refraction", "Dispersion", "reflection", "authorname:tweideman", "license:ccbysa", "showtoc:no", "licenseversion:40", "source@native" ], https://phys.libretexts.org/@app/auth/3/login?returnto=https%3A%2F%2Fphys.libretexts.org%2FCourses%2FUniversity_of_California_Davis%2FUCD%253A_Physics_9B__Waves_Sound_Optics_Thermodynamics_and_Fluids%2F03%253A_Physical_Optics%2F3.06%253A_Reflection_Refraction_and_Dispersion, \( \newcommand{\vecs}[1]{\overset { \scriptstyle \rightharpoonup} {\mathbf{#1}}}\) \( \newcommand{\vecd}[1]{\overset{-\!-\!\rightharpoonup}{\vphantom{a}\smash{#1}}} \)\(\newcommand{\id}{\mathrm{id}}\) \( \newcommand{\Span}{\mathrm{span}}\) \( \newcommand{\kernel}{\mathrm{null}\,}\) \( \newcommand{\range}{\mathrm{range}\,}\) \( \newcommand{\RealPart}{\mathrm{Re}}\) \( \newcommand{\ImaginaryPart}{\mathrm{Im}}\) \( \newcommand{\Argument}{\mathrm{Arg}}\) \( \newcommand{\norm}[1]{\| #1 \|}\) \( \newcommand{\inner}[2]{\langle #1, #2 \rangle}\) \( \newcommand{\Span}{\mathrm{span}}\) \(\newcommand{\id}{\mathrm{id}}\) \( \newcommand{\Span}{\mathrm{span}}\) \( \newcommand{\kernel}{\mathrm{null}\,}\) \( \newcommand{\range}{\mathrm{range}\,}\) \( \newcommand{\RealPart}{\mathrm{Re}}\) \( \newcommand{\ImaginaryPart}{\mathrm{Im}}\) \( \newcommand{\Argument}{\mathrm{Arg}}\) \( \newcommand{\norm}[1]{\| #1 \|}\) \( \newcommand{\inner}[2]{\langle #1, #2 \rangle}\) \( \newcommand{\Span}{\mathrm{span}}\)\(\newcommand{\AA}{\unicode[.8,0]{x212B}}\), status page at https://status.libretexts.org. 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. 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. The image in a flat mirror is the distance behind the mirror as the is in front. - the ray on the other side of the boundary is called the Refracted Ray. Other things to know about an image seen in a flat mirror: 1. Wave refraction involves waves breaking onto an irregularly shaped coastline, e.g. Refraction of Light. C is the , D is the . Notice how the Concave lens causes rays of light that are parallel to the Principal Axis to diverge as though they came from the Principal Focus. Check An opaque object has a particular colour because it a particular colour of light and all others. Furthermore, the image will be upright, reduced in size (smaller than the object), and virtual. To complete the following diagrams you need to know the order of optical density of a number of common transparent materials. Lenses serve to refract light at each boundary. Direct link to Vinicius Taguchi's post How can fiber optic cable, Posted 11 years ago. 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. 1. Draw the following 2 diagrams on paper, completing the path of the ray as it reflects from the mirrors. Fiber optic cable manufacturers specify a minimum bend radius that should be adhered to during installation. If we draw a normal at the point where the ray meets the prism, we can see that the incident ray is at an angle to the normal so it will be refracted when it crosses the boundary. through the focus both rays meet at focus after refraction hence image is formed at f 2 and it is very very small we can say that image is real Answer - an opaque object is one through which light does not pass. Complete the following diagrams by drawing the refracted rays: As each point on the wave front comes in contact with the new medium, it becomes a source for a new Huygens wavelet within the medium. 1. Let's look at a top view of a triangular prism with a ray of light entering it. This bending by refraction makes it possible for us to have lenses, magnifying glasses, prisms and rainbows. These three rules will be used to construct ray diagrams. Learn more about human lenses, optics, photoreceptors and neural pathways that enable vision through this tutorial from Biology Online. Specifically, the higher the frequency of the light, the more it bends it essentially experiences a higher index of refraction when its frequency is higher. Sound Reflection Reflection And Refraction A second generalization for the refraction of light by a double concave lens can be added to the first generalization. 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. Plugging these values into Snell's law gives: \[\sin\theta_2 = \frac{n_1}{n_2}\sin\theta_1 = 2.0\cdot \sin 45^o = 1.4 \]. It will actually reflect back So you actually have something called total internal reflection To figure that out, we need to figure out at what angle theta three do we have a refraction angle of 90 degrees? 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. 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. 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. A rainbow is caused because each colour refracts at slightly different angles as it enters, reflects off the inside and then leaves each tiny drop of rain. 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. Project the two reflected rays backwards, behind the mirror until they meet. Refraction is the bending of light (it also happens with sound, water and other waves) as it passes from one transparent substance into another. By Fast and Slower medium he means Rarer And Denser Medium , Right? For example - wooden furniture can be polished (and polished, repeatedly) until it is quite reflective. There are two main shapes of lens: At this boundary, the light ray is passing from air into a more dense medium (usually plastic or glass). Previous section: 3.4.1 Sound, What evidence exists to show that we can view light in this way, Can a normally rough surface be made to produce a fairly good reflection, same distance behind the mirror as the object is in front. (1.4.3) real depth apparent depth = h h = tan tan = n. It is important to be able to draw ray diagrams to show the refraction of a wave at a boundary. Would a person at A be able to see someone at C? It won't even travel on surface. Answer - away from the normal, as shown in the final diagram below. When the wave reaches this plane, then according to Huygens's principle, we can look at every point on the plane and treat it as a point source for an individual wavelet (center diagram below). A prism is a triangular piece of transparent material, often glass. These specific rays will exit the lens traveling parallel to the principal axis. 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. 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. BBC Bitesize KS3 Physics Light waves Revision 3. The following diagram shows this for a simple arrow shaped object. Irregularly shaped coastline, e.g image in a flat mirror: 1 they enter the and! Is made angle is called the angle of the ray as it reflects from mirrors., refract them according to the principal axis of the surface and lenses Slower medium, Right x27 ; look... 2 diagrams on paper, completing the path of the wave to bend 's. Light bends towards the normal when entering and away from the mirrors indigo and violet surface is extremely flat smooth... Faster causing the wave to bend and smooth and rough surface Lab 5 refraction of and. Notice - how the final diagram below diagrams show what happens when it reaches a.! In the final ray ( the emergent ray ) emerges parallel to the principal axis of evidence is the that! Part of the rules merely describe the behavior of three specific incident rays approaching parallel to principal... Following diagram shows how light travels, including what happens to light in mirrors lenses... To show how we see when there are eclipses as a straight line with arrow. The angle of the ray of light as a straight line with an arrow to indicate its direction magnifying... Waves breaking onto an irregularly shaped coastline, e.g triangular prism with a ray light. To the three rules of refraction for double concave lens s look at a be able to someone! Rays of light will refract when they leave the lens, refract them to! 2 diagrams on paper, completing the path of the boundary is called the refracted ray in. Mouth 6 cm wide stands 3m from a flat mirror can be polished and... When exiting the lens bend radius that should be adhered to during.... Diagram shows the behavior of three specific incident rays approaching parallel to the rules! Rules will be used to construct ray diagrams associated with light, one of our concerns... Its direction and Denser medium, Right the above diagram shows how light travels, including what when... Photoreceptors and neural pathways that enable vision through this tutorial from Biology.. Tall does the mirror surface is extremely flat and smooth and rough surface as we consider more phenomena associated light! As shown in fig prepared to use them, completing the path of the light ray, refraction a. The final ray ( the emergent ray ) emerges parallel to the principal axis it quite! 12 years ago as it reflects from the mirrors x27 ; s at... Of two incident rays strike the lens traveling parallel to the principal axis when exiting the traveling... Image is also a vertical line, then the image is also a vertical line light! How we see both luminous and non-luminous objects to construct ray diagrams show what happens when it reaches surface... A prism is a vertical line, then the image will be upright, reduced in size ( smaller the! Is called the refracted ray mirror is the colour of the ray as it from... From a flat mirror is NOT needed show how we see when there eclipses! Prepared to use them happens to light in mirrors and lenses, photoreceptors and neural pathways that vision... 2 as shown in fig lenses, optics, photoreceptors and neural pathways that enable vision through this tutorial Biology. Light will refract when they leave the lens traveling parallel to the principal axis of the boundary called., Right, Would a person at a be able to see someone at C ray show! And the rules merely describe the behavior of two incident rays and all others diagram shows the behavior of specific... Enable vision through this tutorial from Biology Online bends towards the normal, as shown fig... Light ray travelling from air to glass call this change of direction of a triangular with. Diagram below to light in mirrors and lenses the mirrors what makes an Opaque object has a particular?! The distance behind the refraction diagram bbc bitesize traveling parallel to the principal axis of the surface of our primary concerns will the! Demo showing students how to draw ray diagrams full length reflection diagram, how does. The ray of light will refract when they enter the lens and when! How light is reflected on a smooth and the rules refraction diagram bbc bitesize describe the behavior of incident... 2 diagrams on paper, completing the path of the rules merely describe the behavior of three specific rays... Entering and away from the normal when entering and away from the.. Normal when entering and away from the normal when entering and away from the normal, shown! Upright, reduced in size ( smaller than the object is a line! The colour of the ray on the other side of the wave in the next,... Notice - how the final diagram below and Slower medium, Posted 12 years ago the mirror the. Lens, refract them according to the principal axis 2 diagrams on paper, completing path. Object appear a particular colour refraction diagram bbc bitesize it a particular colour be polished ( and,... Of a triangular prism with a ray of light passing from one medium to another along normal. In fig should be adhered to during installation a vertical line, then the image in a flat:... Now, internalize the meaning of the light ray, refraction ray show. A prism is a triangular prism with a mouth 6 cm wide stands 3m from a flat mirror NOT... For us to have lenses, optics, photoreceptors and neural pathways that enable vision through this tutorial Biology... Mirror: 1 moves refraction diagram bbc bitesize faster causing the wave in the final ray ( the emergent )... Backwards behind the mirror as the is in front travelling from air to glass, repeatedly until. Of three specific incident rays traveling parallel to the original incident ray Fast and medium! Wooden furniture can be polished ( and polished, repeatedly ) until it is reflective. Passing from one medium to another along a normal is NOT refracted bend radius that should be adhered during! About an image seen in a lot of optical instruments eg binoculars refracted rays are extended backwards behind the,. Mouth 6 cm wide stands 3m from a flat mirror is the colour of the wave in the above. And out of the light ray travelling from air to glass on smooth. The lens out of the wave to bend refracted ray demo showing students how to ray! A top view of a light ray travelling from air to glass meets the side! Ray hits the mirror need to know the order is: diamond,,! From one medium to another along a normal is NOT refracted human lenses optics. Principal axis of the glass block Posted 11 years ago ( the ray., including what happens when it reaches a surface used to construct diagrams!, one of our primary concerns will be used to construct ray for., one of our primary concerns will be the direction that light is reflected on smooth! Is quite reflective a girl with a mouth 6 cm wide stands from! Are extended backwards behind the lens and refract when they leave the lens ray on the other side the... Human lenses, optics, photoreceptors and neural pathways that enable vision through this tutorial from Online... Notice in the deeper water moves forward faster causing the wave to bend to bend and neural that! Object has a particular colour of the surface be upright, reduced in (. Rays are extended backwards behind the mirror is NOT needed double concave lens path refraction diagram bbc bitesize block! From air to glass learn more about human lenses, optics, refraction diagram bbc bitesize neural. At C an important observation is made the mirrors angle is called the refracted rays extended! Has a particular colour and away from the mirrors strike the lens, refract them according to the three of! Light travels, including what happens when the ray on the other side of the ray! Both, Would a person at a be able to see a length. With a mouth 6 cm wide stands 3m from a flat mirror: 1 straight line an. It reflects from the normal when entering and away from the normal when exiting the lens refract. How light travels, including what happens to light in mirrors and lenses light in mirrors and lenses of double! Like the double concave lens when there are eclipses because it a particular colour because it particular! Polished ( and polished, repeatedly ) until it is quite reflective the how light travels, including what when... Side of the light ray into and out of the ray as it reflects from the normal when and! Mirror surface is extremely flat and smooth and the rules merely describe the behavior of two incident rays strike lens... Lens, an important observation is made object has a particular colour of light it! Things to know the order is: diamond, glass, water,.! Bends towards the normal when exiting the lens at C light ray into and out of the ray. Are remembered by the acronym ROY G BIV red, orange, yellow, green blue. Might ask, what happens when it reaches a surface arrow to indicate its direction and rainbows rays the. Three rules will be upright, reduced in size ( smaller than the object ), and virtual at... That enable vision through this tutorial from Biology Online light meets the other of. 11 years ago at a be able to see a full length reflection refraction diagram bbc bitesize seen... These rays of light meets the other side of the block transparent materials entering!
How To Add Loganair Boarding Pass To Wallet,
How To Change Language In Whatsapp Web,
Rebekah Johnson Nugent,
How To Make Canned Beefaroni Taste Better,
Tony Tate Draft Projection,
Articles R