Refraction Definition and 750 Threads

In physics, refraction is the change in direction of a wave passing from one medium to another or from a gradual change in the medium. Refraction of light is the most commonly observed phenomenon, but other waves such as sound waves and water waves also experience refraction. How much a wave is refracted is determined by the change in wave speed and the initial direction of wave propagation relative to the direction of change in speed.
For light, refraction follows Snell's law, which states that, for a given pair of media, the ratio of the sines of the angle of incidence θ1 and angle of refraction θ2 is equal to the ratio of phase velocities (v1 / v2) in the two media, or equivalently, to the indices of refraction (n2 / n1) of the two media.







sin


θ

1




sin


θ

2





=



v

1



v

2




=



n

2



n

1






{\displaystyle {\frac {\sin \theta _{1}}{\sin \theta _{2}}}={\frac {v_{1}}{v_{2}}}={\frac {n_{2}}{n_{1}}}}

Optical prisms and lenses use refraction to redirect light, as does the human eye. The refractive index of materials varies with the wavelength of light, and thus the angle of the refraction also varies correspondingly. This is called dispersion and causes prisms and rainbows to divide white light into its constituent spectral colors.

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  1. A

    Find the angles of refraction for these two colors.

    Homework Statement The index of Refraction for a diamond for red light, 656 nm, is 2.410, while that for blue light, 434 nm, is 2.450. Suppose white light is incident on the diamond at 30.0 Degrees. Find the angles of refraction for these two colors. Homework Equations sinr/sini = n2/n1 =...
  2. K

    Relate Equations 4.6, 4.7, 4.8 for Refraction Angles | Physics

    Trying to relate Equation 4.6, 4.7, 4.8 from here: [PLAIN]http://physics.nmt.edu/~raymond/classes/ph13xbook/node35.html[/URL] Basically trying to relate the deviation angle, incident angle, refractive index and apex angle. 2. The equations are in the link. 3. My attempts are less than fit to...
  3. Z

    Solving Refraction Puzzles: Coin Depth & Convex Lens Image

    Problem 1: A thin hollow glass sphere has a radius of 1 m. A coin is placed at the bottom of the glass sphere. 2.09 metre cube of a liquid of refractive index 1.5 is poured into the glass shpere. A person is viewing the object vertically. What is the apparent depth of the coin? Im not sure...
  4. R

    Finding Angle of Refraction with Given Angles

    does anybody know formula for finding angle of refraction with given angles of incidence in the medium and the angle of refraction?
  5. R

    Calculate Red Light Wavelength in Liquid | Angle of Refraction

    Red light travels from air into liquid at an angle of incidence of 390 and an angle of reflection of 170. Calculate the wavelength of the red light in the liquid if its wavelength in air is 750 nm can you give me some hint for this one too? :cry:
  6. R

    Exploring Refraction: Light's Passage from Medium C to D

    Light travels from medium C to medium D. The angle of incidence is larger than the angle of refraction. Which medium has the lower index of refraction? Explain your logic.
  7. I

    A Refraction of Light Question : Why Does Diamond Sparkle More? (Ans. )

    ***** A Refraction of Light Question : Why Does Diamond Sparkle More? (Ans. ASAP please) I have thought about this question for a while now,but I can't figure out the answer: Diamond has a critical angle of 24 degrees. Crown glass has a critical angle of 42 degrees. Why does a diamond...
  8. K

    Finding Collision Angles in Pool Ball Refraction

    Hi, I'm currently working on a game of pool/snooker. Its all going great, but i have this problem when the balls hit each other. I can get them to bounce off the walls correctly, but that's because the walls are either vertical or horizontal...hitting a ball is more difficult. At the moment...
  9. I

    Refraction of light-apparent speed

    Homework Statement Imagine two media: one is thick air and the other is a liquid medium of some kind. The index of refraction of the air medium is 1.2 and that of the liquid medium is 1.47. You are standing in the air medium looking straight into the liquid medium. You observe an object...
  10. C

    Parabolic light-path's function for index of refraction

    Homework Statement The setup is a planar cross-section of a medium. The horizontal direction is 'x' and the vertical direction is 'y'. I fire a beam of light into this plane, starting at some positive y, at x = 0, and traveling horizontally in the x+ direction. I need to find a function n(y)...
  11. J

    Index of refraction and oil/water

    A scientist notices that an oil slick floating on water when viewed from above has many different rainbow colors reflecting off the surface. She aims a spectrometer at a particular spot and measures the wavelength to be 750 nm (in air). The index of refraction of water is 1.33. The index of...
  12. M

    Can Refraction in Water Change the Focal Length of a Camera?

    Hi, I need to know whether Refraction changes current focal length of a camera..I have a camera focused at the bottom of a water tank(without water). After filling water to the tank i cannot see the bottom anymore focused..I need to calculate how much should I move the camera vertically to...
  13. Y

    Why does Fresnel's law only use 2 boundary conditions compared to Maxwell's 4?

    We use only 2 boundary conditions in driving Fresnel's laws, whereas Maxwell's equations provided 4 conditions (2 were identical to other 2). What is the intuitive explanation for this redundancy? which boundary conditions turned out to be equivanlent to each other.
  14. S

    Explore Snell's Law and Refraction of Light

    Snell's law[SOLVED] 1. A ray of light travels from air(which is given to be 1.0003 I also had it be N1) into a liquid. The ray is incident upon the liquid(n2) at an angle of 30 degrees. The angle of refraction is 22 degrees. Indices of Refraction. Medium. . . .N Vacuum...1.00 Air.. . . ...
  15. Helios

    Relativistic mechanical index of refraction

    I have found the relativistic mechanical index of refraction which I think is n = \sqrt{[( E - V + mc^{2})^{2}- (mc^{2})^{2}]/[( E + mc^{2})^{2}- (mc^{2})^{2}] Follow the same procedure as this thread https://www.physicsforums.com/showthread.php?t=176081&highlight=optico-mechanical...
  16. S

    Refraction of Light: Energy Source Puzzle

    I have though of a puzzling part of refraction that has caused a bit of a problem. it is that if the light slows down then where does it get the energy from to speed back up once it has left the medium it was refracted into?
  17. C

    Is This Method for Calculating the Direction Vector of a Refracted Ray Accurate?

    Hi all, I would like to know whether my approach of solving for the direction vector of a refracted ray is correct. 1. Problem statement A ray of light is incident on an interface of two mediums. The incident ray has a unit direction vector v. i and r are the incident and refracted angles...
  18. A

    Refraction problem, involving mirrors

    Homework Statement A tank whose bottom is a mirror is filled with water to a depth of 19.3 cm. A small fish floats motionless 7.50 cm under the surface of the water. What is the apparent depth of the reflection of the fish in the bottom of the tank when viewed at normal incidence...
  19. C

    Understanding Double Refraction & Its Impact on Refractive Indices

    Im trying to understand double refraction, but have certain doubts. One question is, that why does the direction of oscillation of the ordinary and extraordinary ray change their refractive indices? Why is it that when one component of the electric field is perpendicular to the optic...
  20. O

    How do I create a ray diagram for refraction using a beaker and pencil?

    Hey guys I'm new here and I'm lookin' for some help as I'm sure a lot of you come here for that reason as well. I did an experiment where I fill a 150 mL half full, place a pencil in the middle and move it sideways until it reaches the side of the beaker. Then I am to draw a ray diagram of what...
  21. A

    Some more angles and refraction a little twist this time

    Homework Statement An underwater diver sees the sun 50 degrees above horizontal. How high is the sun above the horizon to a fisherman in a boat above the diver? Homework Equations n΄sinθ΄ = n¹sinθ¹ or, if that is confusing, n1sinθ1 = n2sinθ2 The Attempt at a Solution I...
  22. A

    Calculating Angle of Refraction for Light Passing Through Water and Glass

    Homework Statement A 1.0-cm-thick layer of water stands on a horizontal slab of glass. A light ray in the air is incident on the water 60 degrees from the normal. What is the ray's direction of travel in the glass? Homework Equations n΄sinθ΄ = n¹sinθ¹ or, if that is confusing, n1sinθ1 =...
  23. K

    Fiber Optic Refraction: Calculating Light Ray Distance and Reflections

    Question: A ray of light enters a light fiber at an angle of 15degree with the long axis of the fiber. Calculate the distance the light ray travels between succesive reflections off the sides of the fiber has an index of refraction 1.6 and is 10^{-4}mm in diameter.
  24. J

    Explaining reflection and refraction in atomic level

    https://www.physicsforums.com/showpost.php?p=899393&postcount=4 describes why photons are slower in some medium. After reading it, I've few more questions: When a photon hits an electron, if it absorbs the photon and reemits, here's my questions: 1. How does refraction possible? The...
  25. A

    Please Explain Me Refraction of light

    Please Explain Me Refraction of light ! Helo everyone, I have gone through my textbooks which only comes to the conclusion that since the light travels at different velocity in different medium so it bends at the interfaces. This is something i can't really understand. It doesnot make anything...
  26. L

    Time for Light to Travel 54cm Through Glycerine in Aquarium

    Determine the time it takes for light to travel 54 cm through glycerine in an aquarium. Do I account for air, glycerine and glass?
  27. F

    How Do You Calculate the Index of Refraction in a Light Refraction Problem?

    Homework Statement A light ray enters a rectangular block of plastic at an angle 1 = 44.0° and emerges at an angle 2 = 79.0°, as shown in Figure P22.61. Figure P22.61 (a) Determine the index of refraction of the plastic. wrong check mark (b) If the light ray enters the plastic at a...
  28. F

    Index of refraction when total internal reflection ceases

    light refractions problem I don't even know where to start with this problem. Can someone please help me out? As shown in Figure P22.49, a light ray is incident normal to on one face of a 30°-60°-90° block of zircon(n= 1.923) that is immersed in water. Figure P22.49 (a) Determine the...
  29. D

    Question on refraction of light

    Homework Statement under what condition is the angle of incidence greater than the angle of refraction?and viseversa? and WHY? AND how come the speed of light slows down when it travels from a less dense to a more dense substance?and vise versa? Homework...
  30. S

    Light transmission, reflexion, refraction and diffraction at a atomic level

    How to explain transmission, reflexion, refraction and diffraction at a atomic level. For example: 1 - how does light passes through a transparent material? 2 - what happens in the boundary of separation of two materials for light to be: partially reflected, partially refracted ad partially...
  31. A

    How Do You Calculate the Index of Refraction for a Lens?

    Homework Statement Suppose a convex lens is ground so that one surface has a radius of curvature of 30.0 cm and the opposing surface has a radius of curvature of 40.0 cm. The focal length is 34.2cm. What is the index of refraction of the lens? What kind of glass is the lens? Homework...
  32. A

    Index of refraction question-.

    Suppose a convex lens is ground so that one surface has a radius of curvature of 30.0 cm and the opposing surface has a radius of curvature of 40.0 cm. The focal length is 34.2cm. What is the index of refraction of the lens? What kind of glass is the lens? Need help by using the formula...
  33. R

    Refractive Properties of Light: Exploring Refraction in Different Scenarios

    Homework Statement In which of the following situations will light from a laser be refracted? a. traveling from air into a diamond at an angle of 30° to the normal b. traveling from water into ice along the normal c. upon striking a metal surface d. traveling form air into a glass of...
  34. E

    Connection of General relativity and geometric Refraction of light

    I tried to obtain refraction of light by sun's gravity by substitution of sun's gravitational field by aether with different speeds of light. I do not get right result. Where I am wrong? For light which travel close to the sun by direct trajectory, I get the following speed of light in...
  35. N

    Atmospheric Refraction vs Height

    I just wanted to ask a quick question that maybe someone knows off the top fo their head. How does the refraction angle of the Sun at the sunset vary as a function of the observer's height. i.e. if you are standing on a tower looking over the ocean, is the refraction deviation of the Sun at...
  36. A

    Understanding Vacuum and Index of Refraction in Optics: Exploring the Basics

    can you please explain some of these questions to me? Thanks. In the PR book, it defines vacuum as empty space and I don't really know what that means. Does it mean that there is nothing (no air molecules, no other gasses, etc.) in that space? (is the atmosphere of space a vacuum also?) I've...
  37. R

    Angle of Refraction: Prove Incident Beam is Parallel to Emerging Beam

    A light beam passes from medium 1 to medium 2 with the latter being a thick slab of material whose index of refraction is n2. Show that the emerging beam is parallel to incident beam. Am I correct in assuming that the only way this is possible is to have the incident beam making an angle that...
  38. S

    Refraction, Fermat's Principle and Lawnmowers

    According to Fermat's principle the path taken between two points by a ray of light is the path that can be traversed in the least time. So if the ray is refracted and if you take two points, one from before and one from after the refraction, the path taken between them was the one that takes...
  39. A

    Convex Refraction: Why do objects appear larger when viewed through a fishbowl?

    Homework Statement Why do fish appear bigger when you look at them through a fishbowl? Homework Equations The Attempt at a Solution because objects in water appear bigger than they actually are? this has to do with change in the medium from air n1 to water n2?
  40. 2

    How Does Light Refraction Affect the Diameter of a Light Cone in a Pool?

    Homework Statement At the shallow end of a swimming pool, the water is 70.0 cm deep. The diameter of the cone of the light emerging from the water into the air above, emitted by a light source 10.0 cm in diameter at the bottom of the pool and measured by an observer on the edge of the...
  41. R

    Anti-reflective coating optimum index of refraction

    Hello I'm trying to solve a problem where I'm asked to find the optimum index of refraction for an antireflective coating on a piece of glass. In trying to derive an equation for it I keep coming across this in the internet (where 1,0, and s should be subscripts) n1=sqrt(n0ns) where n1 is...
  42. P

    How Do You Calculate Pool Depth Using Refraction Principles?

    Homework Statement A 4.0-m-wide swimming pool is filled to the top. The bottom of the pool becomes completely shaded in the afternoon when the sun is 20 degrees above the horizon. How deep is the pool?Homework Equations Snell's law (n1)sin(x1) = (n2)sin(x2) Index of Refraction of Air = 1 Index...
  43. N

    Atmospheric Refraction: Converting Density Profiles to Refractivity

    Hi, I'm working on a project on the Green Flash and have so far been building up a program to produce the 1976 US Standard Atmosphere. I have produced the density profile for the first 86km (which I'll assume to be enough for now) and now need to convert it to a refractivity index profile...
  44. A

    How does one measure the index of refraction of a liquid, and .?

    How does one measure the index of refraction of a liquid, more specifically the angle of refraction? I'm finding it's relationship to temperature. I can't just dip the protractor into the liquid( as a test medium I used water compared to air) and measure the angle that is in the water(either...
  45. A

    How Does Wavelength Affect Refraction Angle in Diamonds?

    Refraction problem! Homework Statement A beam of white light is incident on the surface of a diamond at an angle Theta_a. Since the index of refraction depends on the light's wavelength, the different colors that comprise white light will spread out as they pass through the diamond. For...
  46. A

    Mathematics of refraction of light

    Can anyone please prove that if d1=EF and if d2=EG and angle MEZ=HEF=angle of incidence and angle HEG = angle of refraction. Please! can somebody help me prove that d1/d2=refractive index taking sin i/sin r=refractive index (The glass slab is ABCD and is kept in vacuum)
  47. M

    Understanding Light Refraction: Why a Ping Pong Ball Looks Bigger in Water

    i need an explanation for this situation. i've inserted an pingpong ball into a glass full with water (the glass is made out of thick glass if it matters somehow?). Now what happened is that the half of the ball that is in the water looks much bigger than the half that is not in the water...
  48. ZapperZ

    Exploring Negative Index of Refraction: A Tutorial by Pendry and Shalaev

    This article is as good as any tutorial on the physics of negative index of refraction. It was co-written by John Pendry, who has been credited for inventing/discovering the metamaterial that exhibits this property.Zz.
  49. M

    Help with Physics: Critical Angle and Refraction Questions

    hi.i m kinda new at this but i really need help in physics.i m stuck so much.ok i have tried this question but i don't get it even though i have followed the steps that is shown in the book. A layer of olive oil (n=1.47) floats on water. What is the critical angle for a ray directed from the...
  50. F

    Refraction (magnification) - very basic

    Question: A lens produces a real image that is twice as large as the object and is located 15 cm from the lens. Find (a) the object distance and (b) the focal length of the lens. m = \frac{-i}{p} So the image is twice as large so obviously m = 2 . The lens produces a real image that...
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