Just a check here...
I'm doing some ray diagram practice for optics and I've hit a road block. Hyperphysics is stating that for a concave mirror o is usually negative due to it measured against the direction of light propagation when applied to the mirror equation (below)...
Guys,
I have an ODE like this:
The following code was used to generate this LaTeX image:
\frac{d^2y_{1}}{dx^2} + \frac{d^2y_{2}}{dx^2} + y_{1} + y_{2} = 0
where, y1 (x) =y2 (-x).
Do you have any idea how to solve it?
Thanks in advance.
Homework Statement
If a light beam is circularly polarized and then bounced off a mirror perpendicular to the optical axis, what is the new polarization.
My thought is, because circularly polarized light has basically 2 components behaving like waves, each of them is going to experience a...
Homework Statement
A woman stands between a vertical mirror, 0.5 meter tall, and a distant tree whose height is H. she is 1.0 m from the mirror and the tree is 9.0 m from the mirror. If she sees the tree just fill the mirror, what is H?
Homework Equations
m = (hi/ho)/(-di/do)
hi =...
Question: If you were to theoretically shine a laser into the intersection of two mirrors, what would happen to the reflected beam? When I say 'theoretically' I mean that the beam would hit the corner perfectly.
I'm confused by this because the derivative of a sharp point on a graph is...
If paper ignites at 500 C, can one start a fire with a typical shaving mirror using sun light?
Since the only time a concave mirror has an upright, virtual, magnified image is with the object between the mirror and focus, I estimate a focal length of about 1m.
Now, the sun is at...
Homework Statement
A man holds a double-sided spherical mirror so that he is looking directly into its convex surface, 47.4 cm from his face. The magnification of the image of his face is +0.18. What will be the image distance when he reverses the mirror (looking into its concave surface)...
Homework Statement
Please see here:
http://img198.imageshack.us/i/unledev.jpg/
object placed 8 cm before the slab(6 cm thick,silvered at other end).
The final image is formed 10 cm behind the mirror.Find refractive index of slab.
2. The attempt at a solution
n is refractive index...
The problem:
"A convex spherical mirror is 25 ft from the door of a convenience store. The clerk needs to see a 6 ft. person entering the store at least 3 inches tall in the mirror to identify them. What is the radius of the mirror?"
d_obj = do = 25 ft = 300 inches
h_img = hi = 3 inches...
i need help in these equations please :
Q1 - if there is a frequency 440Hz for a sound wave in air with velocity
430 m/s calculate wavelength and wavenumber.
---------------------
Q2- the speed of light about 3X 10⁸ m/s find the wave length and wave number for the frequency 5x 10¹⁴ Hz...
Homework Statement
An object is placed against the center of a spherical mirror and then moved 79 cm from it along the central axis as the image distance i is measured. Figure 34-35 gives i versus object distance p out to ps = 45 cm. What is the image distance when the object is on the central...
Homework Statement
A child holds a candy bar 16.5 cm in front of the convex side-view mirror of an automobile. The image height is reduced by one-half. What is the radius of curvature of the mirror?
1Your answer is incorrect. cm
Homework Equations
1/f = 1/do + 1/di...
I was posed this question by a professor, and thought I would share with the online community! He asks, "if one were to use simple glass, how could they use it as a mirror, where 100% of the light is reflected?" The glass is transparent, but his hint was to look at a window! Whats your thoughts?
When light is partially reflected by a half-silvered mirror, as in an interferometer, do the reflected and transmitted beams have different polarizations? Is this answer the same for all half-silvered mirrors, or does it depend on the metal coating used and/or the optical properties of the...
Homework Statement
You need to place a mirror on the left wall of the figure so that the reflected light from the bulb exactly fills the right wall.
A) What is the proper height of the mirror?
B) How far below the ceiling should the top edge of the mirror be?
Homework Equations...
i have a parabolic mirror with equation x=-1/2y^2
there are 5 parallel rays coming into the parabolic mirror at y=2,y=1,y=0,y=-1,y=-2
(a) find the focal length
i found the equation f=D^2/(16c) where D is the diameter, and c is the depth.
this gives me a focal length of (1/2)
i was...
Homework Statement
Using Fermat’s principle, derive the spherical mirror formula in paraxial approximation:
\frac{1}{s_o} + \frac{1}{s_i} = \frac{-2}{R}
where so and si are object and image distances, R is the radius of curvature of the sphere.
Homework Equations
As far as I know you...
Homework Statement
A 2.0 cm tall object is placed in front of a mirror. A 1.0 cm tall upright image is formed behind the mirror, 165 from the object
Homework Equations
1/s + 1/s' = 1/focal length
h' / h = magnification
-s' / s = magnification
h' / h = s' / s (i found this...
I have learned that when light falls on an object, the electrons get excited and emit light in return. this gives every object its colour. Is this correct?
So how does a mirror work.
Hi. There's something I don't understand.. and it might be a silly question, but I want an answer.
Light is formed of photons, and photons are reflected off mirrors. If you reflect photons off one mirror onto another mirror, then have that second mirror reflect back onto the first... why...
hello,
my professer has been getting us to draw ray diagrams of two lens systems and diagrams of a lens and mirror system.
these are two situations that i can not seem to figure out for my self
two lens system :
diverging lens to converging lens
(pictures would be ideal)...
Homework Statement
A rectangular room is 6 m long. A mirror 0.35 m wide is hung on the wall horizontally at one end of the room. A person standing 0.5 m in front of the mirror can just see both ends of the back wall in the mirror. What is the length of the back wall.
I don't want the...
An explanation given to the question, "Why do I look different in pictures versus a mirror?", cited that in a picture one views a 2D image but in a mirror one views a 3D image. This difference can effect the depth perceived in ones face.
Is this explanation valid?
My take is that the...
Homework Statement
"a concave mirror is placed horizontally on the ground with a focal length of 1 meter, a boy sitting on a tree above the mirror drops a 7cm diameter styrofoam ball right over the mirror 3 meters high, determine when the image will be the same size of the ball"
Homework...
Homework Statement
An object is located 14.0cm in front of a convex mirror the image is being 7.00cm behind the mirror. A second object twice as tall as the first one is placed in front of the mirror, but at a different location. The image of this second object had the same height as the other...
Hi, I am trying to buy a magnifying rectangular mirror for a science project. While simply buying a glass mirror with magnification is available, I have yet to been able to find a mirror large enough for my purposes. It would need to be rectangular 12"X7.5" mirror with at least a 10X...
Homework Statement
How much of wall 3m behind you can be observed in a 5cmsquare mirror which is held centrally at a distance of 10cm to your eye?
Homework Equations
N/A
The Attempt at a Solution
I see no way of doing this
Homework Statement
In the given arrangement pulley P1 and P2 are moving with constant speed vo downward and the centre of the pulley P lies on the principal axis of a convex mirror having radius of curvature R. Find the speed of image of pulley P when it is at a distance x from the surface...
If a spherical mirror was constructed large enough to hold a human with, let's say 20 feet all round, and assuming once positioned centrally and you could see what would your reflection look like?
And by that I am asking just what would you see, would you see any other colour apart from the...
Let c be the speed of light. I have a mirror in the north facing me but angled at 45 degrees north of east. I shoot a beam of light north towards it. But right before I send the beam the mirror has a velocity v towards the east. When the beam strikes the mirror does it reflect off at a right...
Hi all,
From what I understand, total internal reflection reflect 100% of light. Suppose you had a transparent material with a critical angle of 45 degrees. Now say you had a cone with a 45 degree angle, and you shined monochromatic light in through the base. Would 100% be reflected (minus...
Which one is a more accurate representation of the image? (i.e. what we see with our own eye)
I've read that camera's actually flatten out the 3d image, but I have no clue what the consequence of this would be, while I do know that mirrors flip the image but I think that's the only thing that...
if one was able to make a perfect concave mirror with half a cube shape perfect mirror in front of it ( so thermally isolated from outside with a perfect vacuum inside it) And a black body almost covering the front of the Concave mirror that is red hot and another much smaller black body in the...
Homework Statement
Homework Equations
1/f=1/i + 1/p
m=-i/p
Where m is magnification, i is image distance, p is object distance, and f is the focal length.
The Attempt at a Solution
1/f = 1/1.5f + 1/i
i=3f
I have also attempted to draw a ray diagram to use the image of...
If I wish to take a picture of your image while standing 5 m in front of a
plane mirror, for what distance should I set your camera to provide the
sharpest focus.
I guessed the answer would be 10m (distance of object+distance of image). But i don't know why the focus of camera...
Homework Statement
I am 2 meters tall and I want to see my full image in a mirror. What is the minimum height the mirror should be?
Homework Equations
Why shouldn't min height be also 2m, because no magnification (plane mirror) ??
The Attempt at a Solution
Homework Statement
My homework question is: A flashlight beam produces 2.5W of electromagnetic radiation in a narrow beam. Although the light it produces is white ( all visible wavelengths), make the simplifying assumption that the wavelength is 550 nm, the middle of the spectrum. What force...
In the derivation of the mirror and magnification formula, v, u and f represent image distance, object distance and focal length resp. While deriving, we take v,u and f as the actual measurements of distances, apply sign convention to these, and come to the mirror formula. Thus, in the mirror...
Homework Statement
A curved mirror of equation y=y(x) has that property that whenever a ray of light emanates from the origin it reflects parallel to the x-axis. Find the equation of the mirror
Don't even know how to get started on this, Don't need a solution just need some starting hints...
In the classic experiment, light impinges on half-silvered mirror, the mirror reflects just half the light and transmits the rest.
The photon before encounter with the mirror is [A>, then afterwards it evolves according to U to become [B> + i[C> (where C is the reflected light). The...
Whenever I look in the bathroom mirror after a shower. I immediately notice where the reflection of my eyes are, there is some sort of larger shadow around them. If I move closer, my eyes look like bright white rings (no, it doesn't resemble the normal reflection). Both phenomena seem to change...
Homework Statement
Quick question I can visualise but not determine mathematically..
The question in my text says:
Determine the MINIMUM size of a flat vertical mirror that a person 178 cm can see his whole image. It suggest that a ray diagram will help.
The Attempt at a Solution...
The ideas setup is this:
There is a LED with solar panel and a battery, from one of the sun-charged nightlights, and an optic fiber (the "mirror") that routes the light from the LED onto it's own solar panel.
The effect is that the light dims about half way down.
Question: What...
Q1 if you were traveling at .99c and held a mirror at arms length orientated perpendicular to your direction of travel would you see a perfect reflection?
Q2 if you were hovering within a few feet of the event horizon of a black hole and, as before, held a mirror at arms length...
Homework Statement
An object 23.0 mm high is 31.0 cm away from a concave spherical mirror with a radius of curvature of 54.0 cm. What is the absolute size of the image?
Homework Equations
Maybe these are relevant
Mirror equation in terms of focal length...
Anyone have any experience with cooling a telescope mirror for image quality improvement? I have my C11 disassembled for some other upgrades and before putting it back together am considering adding a cooling fan. Anyone have opinions on how big of a difference it can make?
Hi,
In attempt to understand SR, a moving mirror clock is often given as part of a thought experiment, which leads to the dismissal of absolute time.
To save people reading, the short version of my question is this: This experiment assumes light is wave-like, right?
The long version of...
Problem: A small postage stamp is placed in front of a concave mirror (radius=R), such that the image distance equals the object distance. (a) in terms of R, what is the object distance (b) what is the magnification of the mirror (c) state whether the image is upright or inverted relative to...
When you use two mirrors facing each other, an object in between them can be seen ALOT of times. I understand why, but can really describe it in any detail. Can anybody explain with some depth why this happens.