Reflection Definition and 966 Threads

Homework Statement Let T1 be the reflection about the line 2x–5y=0 and T2 be the reflection about the line –4x+3y=0 in the euclidean plane. (i) The standard matrix of T1 o T2 is: ? Thus T1 o T2 is a counterclockwise rotation about the origin by an angle of _ radians? (ii) The...

it is known that light reflected at the Brewster angle is plane polarized. This is due to during an oscillation of charge, no transverse wave is generated in the direction of oscillation, and the amplitude is maximum for wave propagating perpendicular to the direction of oscillation. But i came...

Hey I am currently looking into refractometry, and how light reflects off a interface between to materials. I have looked through most of the other threads but nothing really explained what I am looking for. My problem, I have a digital refractometer and I am measuring the reflective angle...

As I understand that the electrons absorb the radiation and then re-radiate a part (or color) towards the incoming radiation is called reflection. However, if the frequency of radiation absorbed and re-radiated is dependent on the electron state, how does a faithful reflection of all visible...

I am trying to understand the laws of reflection better. I know that if a large flat mirror is placed on one wall of a room that the room appears larger than it actually is, but by how much? Is it exactly twice as big? Also, How does the size of the image that is reflected from a plane...

I just helped make history today......wow. Did anyone notice the McCain people Booo every time he mentioned Obama. But the Obama people clapped for McCain out of respect. I though both had amazing speeches. Finally, America is back on track. Its long over due. I look forward to my...

Homework Statement I've got my exam in solid state physics tomorrow, and although I've understood most of the most complex subjects now, I feel I'm missing the understanding on one fundamental phenomena; Bragg reflection.. Throughout Kittel it's mentioned, that when we're at the first...

When laser light is reflected from a diffuse surface, what is the reason that it appears speckled?

Homework Statement consider a potential given by V(x) = infinity x < 0 = 0 x > a = a negative function of x in between suppose it is known that the interior wave function is such that (1/u) (du/dx) at x=a = f(E) a. what is the binding energy of a...

Homework Statement Electrons are accelerated from rest by a voltage of 59.0 V. After that acceleration: 1.What is their speed? 2.What is their De Broglie wavelength? 3.The accelerated electrons are then reflected by a crystal with crystal spacing d of 0.085 nm. Through which angle are...

Hi, When exactly does the phase change of \pi occur when a EM wave reflects from a surface? I notice that it happens in Lloyd's mirror for example, and also when considering non reflective coatings on lenses. Is it just when the EM wave is going into a medium with higher refractive index or...

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...

What is the thinnest film of MgF2 (n = 1.39) on glass that produces a strong reflection for light with a wavelength of 680 nm? This is the exact question I am faced with. I didn't really know where to begin so I tried using the ratio of n-air/wavelength to n-film/(new wavelength) to try and...

First off, let me apologize if this is in the wrong section, but I was not entirely sure what branch the answer would fall under. Okay, my question is this (and its probably pretty obvious): If water is clear, what makes it an almost perfect mirror when you look across a still lake? My...

In Diamonds, light that enters gets trapped within due to total internal reflection, defined as: Total internal reflection is an optical phenomenon that occurs when a ray of light strikes a medium boundary at an angle larger than the critical angle with respect to the normal to the surface...

Could some explain the difference in refraction and reflection in optics and sound waves?

[Solved] Total internal reflection, underwater light? Homework Statement A point source of light is at the bottom of a koi pond, at a depth of 0.525 meters. What is the radius of the circle of light formed on the water's surface? Take the index of refraction of water to be 1.33. Hint: Some of...

A material with an index of refraction of 1.44 is used to coat glass. The index of refraction of glass is 1.5. What is the minimum thickness of the coating that will minimize the reflection of light with a wavelength of 4680 A? Answer in units of µm. I know that the thickness for this is t =...

Homework Statement In the figure shown below, a light ray enters a glass slab (with index of refraction nglass = 1.65 ) at point A and then undergoes total internal reflection at point B. The medium that surrounds the glass slab is a liquid whose index of refraction, nliquid =...

Hello there, Let me start by saying this question is going to make me look somewhat ridiculous considering the complexity of most other questions floating around here, but I'm not a maths or physics student and never have been; rather I'm a graphic designer with a basic query in relation to a...

Homework Statement A quantum mechanical particle with mass m and energy E approaches a potential drop from the -x region, where the potential is described by: V(x)=\left\{\stackrel{0 textrm{if} x\leq 0}{-V_0 textrm{if} x> 0}. What is the probability it will be reflected by the potential...

(SOLVED) Calculator Entry ErrorAngles of Reflection of Light A ray of light strikes a flat 2.00 cm thick block of fused quartz (n = 1.458) at an angle of θ = 27.0° with the normal (Fig. P22.18). Trace the light beam through the fused quartz and find the angles of incidence and refraction at...

In Feynman's lectures he describes partial reflection as occurring because the "little arrows" cancel out when the glass is certain thickness. I realize that there isn't an actual model of how QED works but what exactly does he mean by "cancel out"? Also when do you shrink and turn the little...

I have an assignment to due and it asks for the angle of reflection, but I don't know how to get it. This is the question: "A beam of light is directed on the flat surface of a block of fused quartz (n=1.92). Part of the beam is refracted with an angle of refraction of 30°. What is the angle...

Hello all, I have a quick question. If i put two identical mirrors right next to each other on the same surface at the same level and stand in the middle of it will i see two of me or will it act like looking myself if that mirror was one single piece. Thanks!

Light is reflected by two flat mirrors that have an angle q = 114 degrees between them. If the initial ray makes an angle qin = 66 degress with respect to the normal, what is qout? http://img95.imageshack.us/img95/4791/mirrorxz9.th.png I know that the angle of incidence is equal to the...

Homework Statement -Behind a glass container with water, there is a candle. The container is paralelopiped - shaped. What is the image that the viewer is going to see, if the eye is set like so, that he watches the candle with an angle greater than the angle of total reflection? -Hold a...

Do photons reflected off prisms exert directional force however small as they are reflected off the hypotenuse side of a right triangle shaped prism?

Homework Statement We have waves propagating in the air. First part asks for a traveling wave solution in the x direction , given a wave length 2pi and amplitude 3m. I have obtained u(x,t) = 3 cos ( x - 345t). The question then asks what happens if a wall is placed at x=0, what is the form of...

Homework Statement V is a three-dimensional euclidean space and v1,v2,v3 is a orthonormal base of that space. Calculate the Matrix of the reflection over the subspace spanned by v1+v2 and v1+2*v2+3*v3 . Homework Equations The Attempt at a Solution To determine the matrix I...

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 ...

Why are we not able to capture and store light between two mirrors? I'm going to take a guess at the answer but I'd like to hear from someone who knows for sure... I'm wondering if you actually can for a small amount of time, but the inefficiencies of an imperfect mirror cause some light to be...

Homework Statement Part of a longer question, what is the phase change, if any for a system of three substances of different n where there is surface reflection between n1 and n_f which is meant to constructively interfere with another surface reflection between n_f and n3.where n1 < n_f >...

I have written in my notes the following: "Total internal reflection will have reflecting ray only, same as incident (60 degrees)." I understand everything but the 60 degrees part. If there is total internal reflection, will the angle of reflection and the angle of incident both always be...

[SOLVED] Internal Reflection Problem Homework Statement (please check attachment for figure) ni = 1 nr = 1.48 theta_I = 50 degrees l = 3.1 mm w = 42 cm Find N (Number of reflections before laser beam finally emerges). Homework Equations Snell's Law: ni sin theta_I = nr sin theta_r The...

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...

Homework Statement A potential well with V(x)=0 for x<0 and V(x) = Vo for x>0. The particle has energy E greater than Vo and is incident from the left side. Calculate the reflection coefficient. Homework Equations Relfection coefficient is given by R= (B*B)/(A*A) The Attempt at a...

Could someone explain how the reflection formula comes about? R_a v = v - 2a(va)/ (aa) , where v and a are vectors and v is relected along the axis orthogonal to a thanks

Homework Statement A diver shines a flashlight upward from beneath the water at a 23.0° angle to the vertical. At what angle does the light leave the water? Homework Equations I thought that i could use snell's law here...but i don't know what to do afterwards... The Attempt at a...

Folks, I'm reading the 3rd edition of Thin Film Optical Filters by Macleod, and I've derived his expression for phase shift upon reflection (page 45). Finally, it lead me to a question. Any help is highly appreciated! \rm E_i + E_r = E_t \qquad (1) \rm H_i - H_r = H_t \qquad (2)...

Homework Statement A magnifying glass has a converging lens of focal length 17.0 cm. At what distance from a nickel should you hold this lens to get an image with a magnification of +2.00? Homework Equations 1/F=(1/Dobject)+(1/Dimage) M=-Dimage/Dobject The Attempt at a Solution...

Why is it that T.I.R. only occurs when a light is traveling from a denser to a rarer medium? Intuition suggests that this should happen when going from a rarer to a denser medium. Care to get into some mathematics? Also, can the interface between 2 media be designed so that there is 100%...

My lecturer has given me this formula for reflective diffraction m landa = d (cos a - cos b) where m is order # landa is wavelength d is slit seperation a is angle of inicdence b is angle of reflection The problem I have is I wasn't given any justification of this and have...

Q#1. Homework Statement [/b] an object and an observer are located 2meter in front of a plane mirror, If the observer is 3meter from the object, find the distance between the observer and the location of the object's image. Q#2. the image produced by a convex mirror is always closer to the...

How does reflecting of a light works? In physics people keep talking about mirrors in lasers and optics, etc. but how does mirror works at sub-atomic level? Does the light wave simply excite the electron which then sends identical wave in opposite direction? Or does it simply bumps off a...

Homework Statement It is 171 cm from your eyes to your toes. You're standing 210 cm in front of a tall mirror. How far is it from your eyes to the image of your toes? Homework Equations ? The Attempt at a Solution The answer which I got from the back of the book is 433cm. I have the...

Please explain the phenomena of reflection at atomic level ? We know that on reflection a phase change of pi occurs i/e phase difference b/w reflected & incident beam is pi , explain this phase change of pi at atomic level ? What is actually meant by phase change atomic level ?

Homework Statement Calculate the reflection coefficient of copper for radio waves at frequency 50Ghz and yellow light (wavelength = 0.6 micrometers) Homework Equations Reflection coefficient: R = E(r)^2/E(I)^2 = (1-n/1+n)^2 Where E(r) is the electric intensity of the reflected wave...

Question on total reflection...if you were to conceal a coin, by putting it under a beaker whose lid is covered with foil, and you slowly add a liquid until the coin seemingly disappears, which would require a greater volume? oil or water?

Homework Statement A short thin object (like a short length of wire) of length L is placed along the axis of a spherical mirror (perpendicular to the glass surface). Show that its image has length L' = (m^2)*L so the longitudinal magnification is equal to -m^2 where m is the normal...