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.
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.
Homework Statement
what is the minimum value that the index of refraction can have?
Homework Equations
n1sin\Thetai = n2sin\Thetar
The Attempt at a Solution
my choices are:
A - between 0 and 1
B - +1
C - -1
D - 0
all listed values in my given chart are...
Finding index of refraction using wavelength and 2 angles??
I'm not sure how to do a problem that involves a light ray striking a block/air interface, how to find the index of refraction of a transparent material when given the wavelength, the angle the light ray makes with respect to the...
Homework Statement
http://img98.imageshack.us/img98/371/physicsproblemrh8.jpg
Homework Equations
The Attempt at a Solution
Basically, I tried to use triangles to find the angles. But I don't know how as it seems I'm only given one side of the triangles.
Homework Statement
When an electron beam is incident on a metal surface at an angle tetha 1 to the normal, electron waves are refracted into the metal at an angle tetha 2, following Snell's law. The effect on an electron can be represented approximately by a drop in its potential energy...
Suppose an experimenter firstly is entirely ignorant of general relativity and non-euclidean space. He finds (say) a point-source gravitational field. He fires light beams about and notices the deflection. He concludes that there's a not-equals-one index of refraction n about the source point...
Quick Question about Refraction and Light!
Homework Statement
http://www.webassign.net/hrw/hrw7_33-55.gif
Suppose a prism has apex angle ϕ = 62.0° and index of refraction n = 1.58. What is the smallest angle of incidence θ for which a ray can enter the left face of the prism and exit...
Ok. I don't understand this refraction stuff. The books all show the light bends down when light from the air enters water ah, change in medium. But when I clean our pool the rod appears to bend up. My Dad is a jock and he says to hunt for fish you throw the spear in front of the fish you...
Refraction 2!
If you increase the incident angle for the wave coming in, what happens to the angle of refraction? Does it get smaller or larger? (refracting from a slower speed medium to a faster speed medium)
Homework Statement
Electrons incident on a crystal suffer refraction due to an attractive potential of 15V. If the angle of incidence is 45 degrees and the electrons have an incident energy of 100eV, what is the angle of refraction?
Homework Equations
Snell's law...
Electrons incident on a crystal suffer refraction due to an attractive potential of 15V. If the angle of incidence is 45 degrees and the electrons have an incident energy of 100eV, what is the angle of refraction?
Ok, so i know that i have to use snell's law, but I'm stuck on calculating the...
Homework Statement
Parallel light rays enter a transparent sphere along a line passing through the center of the sphere. The rays come to a focus on the far surface of the sphere. What is the sphere's index of refraction?
Homework Equations
The Attempt at a Solution
so I used...
Homework Statement
A goldfish lives in a 50 cm diameter spherical fish bowl. The fish sees a cat watching it. If the cat's face is 20 cm from the edge of the bowl, how far from the edge does the fish seet it as being? (You can ignore the thin glass wall of the bowl).
Homework Equations...
1. The Problem
A thin beam of white light is directed at an angle α = 36.4° with respect to the horizontal, onto the top of a square block of silicate flint glass near its top corner. The perpendicular length of the block (or height is 1cm). The block’s refractive index n is 1.66 for blue...
1. In an experiment to find the index of refraction, n, of a block of glass, the angle of incidence, θi, and angle of refraction, θr, were measured a number of times as follows:
θi: 10° 20° 30° 40° 50°
θr: 7.0° 13.5° 20.0° 25.5° 31.0°
Given that the relationship between n, θi and θr is...
I was wondering if someone can clarify the relationship between index of refraction and frequency.
I know that when light is entering into a high index of refraction (say air to glass) that the index is increasing, light bends towards the normal, the speed decreases, and wavelength becomes...
Homework Statement
Homework Equations
Snell's Law: na*sin(theta of a) = nb*sin(theta of b)
wavelength = index of refraction / n
n = c / v
The Attempt at a Solution
The only information given in the problem is the 2 angles of refraction and of course n of air is 1, I do not understand how to...
I have a question!
On my desk is a aerosol of compressed air, for blowing dust away and stuff.
If you look carefully, the jet stream of air causes a visible refraction against the background. Why is this?
I'm assuming it's based on the same way that a heat-haze causes refractions over...
Homework Statement
Calculate the angle of refraction for a substance that has a critical angle of 50.5 degrees when that substance is in the air.
Homework Equations
Apparently the equation I need is:
ni *• sine() = nr • sine ()
My problem is, I have no idea how to use this...
Homework Statement
The light incident on a 45 degree prism undergoes total internal relfection at point P. What can you conclude about the index of refraction in the prism? (Determine either a minimum or maximum)
This is a right triangle, with the two other angles being 45 degrees and...
When a photon goes say from air to water, it slows down according to;
n=c/v
where n is refractive index of water
c is velocity of light in air
v is velocity of light in water
It is stated that the frequency of the photon doesn't change when the photon enters the water. Only the...
A very noobish physics question: Has it been experimentally verified, that individual photons get refracted, for example when shot one at a time through a glass, or does the refraction occur only with classical electromagnetic waves?
Homework Statement
A lens is made of glass for which the refractive index is n[r]=1.5 for red beams and n[v]=1.52 for violet beams. radii of both surfaces are the same and equal R=1m. Find the distance between foci for red and violet beams
Homework Equations
The Attempt at a Solution
Why does a wave refract as it enters a denser medium?
i thought a wave was a photon and so i don't understand how a particle can be slowed down on one side before the other, enough that it changes direction by that much, would it not just move between the atoms? as most of the atom is just...
Hi,
I found a solution to the following problem but I don't think it is right.
Homework Statement
A ray of light enters the atmosphere of a planet. It is perpendicular to the atmosphere. When it enters the atmosphere, the index of refraction equals the index of refraction of vacuum but...
Homework Statement
A ray of light strikes a piece of glass (n=refraction index=1.5), making an angle of 30 degrees with the surface. What angle does the refracted ray make with the surface?
Homework Equations
Snell's Law: n1*sin(theta1)=n2*sin(theta2)
The Attempt at a Solution...
http://img210.imageshack.us/img210/6094/questionuz8.png
i) What is the angle of refraction of the ray RS after it strikes the glass prism of refractive index=1.5?
ii) If the critical angle is 41.8 degrees, deduce whether the ray will suffer total internal reflection.
2. Homework Equations ...
Homework Statement
Given an apex angle of 60 degrees and an index of refraction of 1.6; what is the smallest angle of incidence for which a ray can enter the left face of a prism and exit the right face?
Homework Equations
The Attempt at a Solution
Homework Statement
Travellers in hot places often think that they see water in the distance, when there is nothing but land there. This effect is called a mirage. The air near the ground is very hot, and light reflects off the top of this layer of hot air. The diagram below shows how you could...
Homework Statement
Imagine a fish in the lake. And assume that the surface of the water is absolutely flat--no waves at all. Draw a picture and describe what the fish should see. Can the fish see someone standing on the shore of the lake?
Homework Equations
The Attempt at a...
Homework Statement
3. Assume the slab is perfectly rectangular and has width W.
(a) Calculate the distance (L) the light travels INSIDE the block as a function of W and the angle t1.
(b) From the right-angled triangle with vertices IPE calculate the lateral displacement x in terms of...
For Snell's law n2sin(theta2)=n1sin(theta1), I know that air has an index of refraction of approximately 1. But how do I find the actual value for the index of refraction if I know the temperature jump and pressure? I know that from what I am given, I can find the densities of the air, but then...
[SOLVED] Water Refraction
Homework Statement
An opaque stick which is d = 1.93 meters tall stands vertically upright on the bottom of a pool of clear water. Parallel rays of sunlight making an angle of 45.0 degrees with the water?s surface illuminate the pool as shown. What is the length of...
Hi all,
if light was to go straight through a convex lens would it come out straight or inverted to a point? also if light was to go through the same lens but goes through going inwards how would the light be refracted?
Homework Statement
A light ray is incident on a prism whose apex angle is 65.0°. The ray is
incident at θa and leaves the prism with θa = θd. The refractive index of
the prism glass is 1.54.
Calculate θ
ans:55.8°
Homework Equations
n1sin\phi1=n2sin\phi2
The Attempt at a...
What does a higher index of refraction really mean? I know about speed wavelength etc but let's say you have 2 different material to choose and ignoring other variables, and focal length, diameter are all the same between both material, would you choose a lower index refraction or higher.
Thanks
Homework Statement
PART A) What is the frequency of blue light that has a wavelength of 450 nm?
PART B) What is the frequency of red light that has a wavelength of 650 nm?
PART C) What is the index of refraction of a material in which the red-light wavelength is 450 nm?
Homework...
Which of the following statements are true?
1. The index of refraction is the ratio of the vacuum speed of light to the speed inside the medium.
2. The index of refraction is independent of the wavelength of the light.
3. If a light beam is incident perpendicular to the surface of another...
Hi,
I have always wondered this about the standard explanation for a rainbow. Okay, so individual water droplets refract light entering them, dispersing it, as well as changing its direction. Fine. Here's my question: why don't we see millions of little discrete spectra, one for each droplet...
1. 2 cases:
there are three mediums
first case: light travels from first medium to second, then to third. n1 = 1.1; n2 =1.6; n3 =1.9
angle of incidence before first = theta 1
angle of refraction after first = theta 2
angle of refraction after second = theta 3
second case:
light travels...
Homework Statement
An laser is used of wavelength 544 x 10^-7 m (in air) for eye surgery. The index of refraction of the fluid in an eye is n = 1.43. Calculate the frequency of the laser waves in the eye.
n = 1.43
L1=544 x 10^-7
L2=
f = Homework Equations
n=L1/L2
L1 being the wavelength...
Homework Statement
The drawing shows a rectangular block of glass (n = 1.52) surrounded by liquid carbon disulfide (n = 1.63). A ray of light is incident on the glass at point A with a = 36.0° angle of incidence. At what angle of refraction does the ray leave the glass at point B?
Please...
Hi! I want to ask you something. When the light travels through medium 1, there is reflection of light, so there is energy released, but it needs time the energy to travel through medium 2, right?
1. If the index of refraction of you soap was 1.35, calculate the (minimum) thickness of the film at that part of the film that appears green, given that in air, green light has a wavelength of 535 nm.
2. x = L(lambda/2t)
3. I can't figure out how to derive the equation with n...
Homework Statement
A cubic container contains air, water, glycerin, amd diamond. There are no spaces between, and all boundaries are parallel. For light to travel through all of the substances, what is the maximum angle of incidence of the light ray in the diamond?
Homework Equations...
Homework Statement
I am studying the Law of Refraction. I am at a point in my textbook called a "checkpoint". These are supposed to be simple questions to test understanding. I'm apparently not understanding thus far because I cannot figure out this problem...
I recently got a stronger prescription for my glasses, and I now notice something strange. If I look at an object, say my computer screen through the left edge of the left lens, the left side of the screen will be red, while the right side will be blue. This happens for any object the is...
[SOLVED] Another Index of Refraction Problem! HELP! PLEASE
Homework Statement
When the rectangular metal tank in Figure 33-49 is filled to the top with an unknown liquid, observer O, with eyes level with the top of the tank, can just see the corner E. A ray that refracts toward O at the top...