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...
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 =...
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...
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...
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:
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.
***** A Refraction of Light Question : Why Does Diamond Sparkle More? (Ans. ASAP please)
[SIZE="3"][FONT="Times New Roman"]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...
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...
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...
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...
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...
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.
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.. . . ...
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...
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?
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...
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...
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...
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...
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...
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 =...
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.