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...
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.
By seeing the way light is bent when passing close to massive objects, like Einstein's cross, I was wondering would it be possible for light to be bent so much, it would swung by the other side, similar to gravity assist maneuvers, and come back in an almost parallel direction, towards its...
What is the formula for mirrors and lenses?
My textbook says 1/f = 1/ do + 1/di
Then, hi/ho = - di/do
Then, M= hi/ho
M = di/do
Why is that that M equals each other, but one di/do is negative and the other isn't??
Is the formula my in textbook wrong? Also for questions the textbook gives...
I was wondering whether the curved surface mirror formula (that is usually used to solve convex or concave spherical mirror problems) remains unaltered in case of parabolic mirrors.What might be invalid is the equation 1/f= 2/R...
After all,the equation 1/v + 1/u= 1/f pertains to...
Homework Statement
A 18g rubber stopper is suspended by a 45-cm string from the rear view mirror of a car. As the car accelerates eastward, the string makes an angle of 5.1 degrees with the vertical. Determine the acceleration of the car.
Homework Equations
The Attempt at a...
I'm having difficulty understanding how to estimate the location of an image in a lens/mirror.
I tried understanding it by going off the books question/answer section:
"A spherical concave lens has a focal length of 16 cm, and an object is placed 8 cm from the lens." It says the answer is...
Homework Statement
A laser beam is incident on the left mirror in the figure below, in which α = 85°. Its initial direction is parallel to a line that bisects the mirrors. What is the angle ϕ of the reflected laser beam?
http://www.webassign.net/knight/p23-40.gif"
Homework Equations...
Homework Statement
I can't seem to figure out whether I'm dealing with a + or - radius value. Anyways here's the question:
An object 5.0 cm tall produces an image that is 7.0 cm behind the mirror. If the radius of the curvature of this mirror is 10.0 cm, what is the magnification of the...
A lot has been written about the relative merits of decoherence versus the many-worlds theory in answering the question: where does the extra information go when a superposed state "collapses" to a definite state. However, what about the reverse: when the definite state returns to a new...
suppose if you can travel at the speed of light. and you travel at the speed of light and look in the mirror can you see yourself in the mirror?
people say you can but no one bothered to give me a explanation or they are just wrong
i have no clue
How come when light hits a mirror and then gets re-emitted , that the light comes off at the same angle it hits, when the light hits the glass or what-ever , when it interacts with the electrons in the atom , these electrons are orbiting so why can't they re-emit the light at some other angle .
Homework Statement
Sunlight falls on a concave mirror and forms an image 3.0 cm from the mirror. If an object 24 mm high is placed 12.0 cm from the mirror, where will its image be formed?
a. Use a ray diagram
b. Use the lens/ mirror equation
c. How high is the image?
Homework Equations...
Parabola for 18" aluminum mirror
Help; need to configure inputs into parabola formula to machine an 18" dia., 1.5"h aluminum disc. for use as primary objective mirror in telescope.
Homework Statement
You put a point source of light (S) a distance (d) in front of screen (A). How is the light intensity at the center of the screen changed if you put a completely reflecting mirror (M) a distance (d) behind the source?
M-----d-----S-----d-----A
Homework Equations...
Homework Statement
The virtual image produced by a convex mirror is one-quarter the size of the object.
b) What is the focal length of this mirror?
Homework Equations
1/di = 1/f - 1/do
The Attempt at a Solution
i found di to be -9.3 cm but when i solved for f i keep getting it...
Homework Statement
You are 1.9 m tall and stand 3.5 m from a plane mirror that extends vertically upward from the floor. On the floor 1.5 m in front of the mirror is a small table, 0.80 m high.
a) What is the minimum height the mirror must have for you to be able to see the top of the...
Homework Statement
A convex spherical mirror has a radius of curvature R = 20.0 cm and produces an
upright image precisely one-quarter the size of an object. Calculate the
separation distance between the object and its image?
Homework Equations
M = (image height)/(object height)...
A 6ft tall man stands in front of a mirror (2ft tall)
The mirror is 5ft away from the man and 4 ft above the ground.
How much of his image can he see?
A 6ft tall man stands in front of a mirror (2ft tall)
The mirror is 10 ft away from the man and 4 ft above the ground.
How much of his...