An object 1.95 cm high is placed 11.2 cm in front of a convex mirror with a radius of curvature of 9.8 cm. Where is the image formed??
So i know Di= (Doxf)/(Do+f)...(11.2 x 9.8)/ (11.2 + 9.8) = 5.23 cm
However, the correct answer is 3.41 cm
What am i doing wrong here? I know that the...
Homework Statement
I need to speed up a image alignment function using FFT
Homework Equations
FFT, correlation coefficient (for deciding best alignment)
The Attempt at a Solution
This function works but a fail to see how it is any better that a naive evaluation of the correlation...
On http://en.wikipedia.org/wiki/Aurora_(astronomy ), about 1/2-way down the page, there is an image of, quote, "Aurora australis (September 11, 2005) as captured by NASA's IMAGE satellite, digitally overlaid onto the The Blue Marble composite image." Next to it, there is a rolling video of...
Good afternoon,
I want to check another problem about optical physics:
There are taken N equal converging lens, ordered one by one in a distance of f, where f is the focal distance.
There is an object standing in a distance of 0,5*f of the first lens.
A Sketch...
Hi
Not sure of optical questions should go here to general physics questions, but here goes.
I have a doubt, basically, what consists of a reflection?
If i have a perfectly smooth surface, then the specular highlights are infinitely thin, and you should have perfectly mirror-like...
The Burger King king:
http://images.businessweek.com/ss/06/09/ceo_socnet/image/burger-king.jpg[/Img]
Baby Ronald McDonald:
[PLAIN]http://content4.clipmarks.com/image_cache/constantskeptic/512/3D4C4195-AC21-40F1-A90B-E589D50FC792.jpg...
Homework Statement
Let V and W be vector spaces over F, and let T: V -> W be a surjective (onto) linear map. Suppose that {v1, ..., v_m, u1, ... , u_n} is a basis for V such that ker(T) = span({u1, ... , u_n}). Show that {T(v1), ... , T(v_m)} is a basis for W.
Homework Equations
Basic...
Homework Statement
A student is working in an optics lab and has a light bulb which is 100 cm from a screen. She needs to make a real image a real image of the bulb on the screen and she has a converging lens with a focal length of +15 cm. Find two places she can put the lens and give object...
A cylinder is aligned along zz' and both ends are closed, one with a rigid plate which has a smaller tube and valve attached.
If the other end is covered with an elastic material and the edges are thin enough so that at time t, if the pressure is lowered in the cylinder by evacuating air, the...
Homework Statement
Diverging lenses produce a "virtual" image, which can be seen but can't be projected, and converging lenses produce a "real" image which can be projected but not seen.
How come we can see the image produced by a converging lens, which is supposed to be a real image...
Here's the question I'm stuck at:
Suppose a mapping from R^2 -> R^2 is defined by some 2x2 matrix W. Is the image of W spanned by the eigenvectors of W? Why or why not?
The Attempt at a Solution
I know that the eigenvectos of W for a linearly independent set. I also know that the set...
Homework Statement
A concave mirror with a focal length of 34.4 cm produces an image whose distance from the mirror is one-third the object distance. Calculate the object distance.
Homework Equations
(1/f)=(1/do) + (1/di)
The Attempt at a Solution
I know that i have to use the...
Homework Statement
Prove that the virtual image in a convex mirror is always smaller than the real object.
Homework Equations
m = -\frac{d_{i}}{d_{O}}
The Attempt at a Solution
Not a homework problem. Something which is bothering me, and haven't been able to prove yet.
Thanks!
Let Q:=\{ z: Re(z)>0, Im(z)>0, |z|<1 \} i.e. the quarter disc.
what is the image of Q by the mapping f(z)=z^2
by trial and error with various points, my answer is that it takes Q to the semicircle \{ z: Re(z)>0, |z|<1 \}
but can't how this explicitly as it's not a mobius transformation...
Homework Statement
The configuration is that there is a charge +q a distance 3d on the z axis and a charge -2q a distance d on the z axis. The xy plane is a grounded conductor. Find the force on the charge +q.
Homework Equations
I've place image charges: -q at z=-3d and +2q at z=-d.
the...
Consider a cone's surface with its vertex subtending a right angle and its base removed. If its interior were silvered, how would an observer on the axis of symmetry appear in its reflection?
Homework Statement
Two identical diverging lenses are separated by 13 cm. The focal length of each lens is -6.5 cm. An object is located 3.0 cm to the left of the lens that is on the left. Determine the final image distance relative to the lens on the right.
Homework Equations
1/i + 1/o...
Homework Statement
Find the smallest distance between the object and a real image, when the focal distance of the lens is f
Homework Equations
\frac{1}{s}+ \frac{1}{p} = \frac{1}{f}, where s is the distance of the object from the lens and p is the distance of the image.
The Attempt at a...
Homework Statement
A 1.80-cm-high object is situated 19.7 cm in front of a concave mirror that has a radius of curvature of 12.2 cm. Calculate (a) the location and (b) the height of the image.
Homework Equations
f=1/2R
1/image distance + 1/object distance = 1/f
The Attempt at a...
Homework Statement
A concave mirror has a focal length of 27.2 cm. The distance between an object and its image is 50.2 cm. Find (a) the object and (b) the image distance assuming that the object lies beyond the center of curvature.
Homework Equations
f=1/2 R
1/object distance + 1/image...
1. Let f(x)= 1/x where x is a rational number. What is the domain of f? Give a codomain and image for f that are not equal to each other.
I am not sure about my answers, I got:
D= (-infinity, 0) U (0, infinity)
Image= (o, infinity)
Codomain= Set of all reals
I don't think this is...
Just want to confirm i have this correctly..
in the following image:
from left to right, its Gate, Drain, Source ?
it doesn't say on the datasheet
http://www.irf.com/product-info/datasheets/data/irf640n.pdf
I have a question about lenses and mirrors and the above topic..
As I understand it, a real image is one that formed when all the light from one source is converged again at another point and our eyes see that light again spreading from the converged spot. So if you put a screen at the spot...
Can you help me with this? I have a function with domain and range in R^2. What conditions it must have so that a point in the boundary of the domain will have its image in the boundary of the range?
Thanks.
Homework Statement
A concave mirror (R=54cm) faces a convex mirror of the same radius. The distance between the mirrors is 54cm, and their axes coincide. A candle is held between the mirrors, 10 cm from the convex mirror.
Consider light rays reflect off the concave mirror and then the...
Homework Statement
The figure shows a meter stick held lengthwise along the optical axis of a concave mirror. (Intro 1 figure) - figure attached
How long is the image of the meter stick?
Homework Equations
1/f = 1/do + 1/di
[b]3. The Attempt at a Solution [/b
1/di = 1/f -...
Homework Statement
If the object distance in the following picture were 8.0 m and the image distance were 2.0 m, and the object is 0.50 m tall, how tall is the image.
Ho = 0.5
So = 2.0
Si = 8.0
Homework Equations
Ho / Hi = So / -Si
In order these variables are hight object, hight image...
staics help please!
Please help with this problem.. I'm going crazy.
I have attempted the problem and i think my methods are correct. however some algebra mistake is also there i think.
im submitting my work on the thread below
Question: Determine the resultant moment of the two forces...
Homework Statement
We have a conducting and grounded wall for z<0, so \Phi=0 for z<0. In front of this wall, we place a homogeneous charged sphere with radius R and total charge Q. The center of the sphere has a distance of a to the front of the wall...
I googled this, but all articles assume previous knowledge of Latex.
I am brand new to Latex. I am using TeXshop on my Mac.
I have a template open and I want to insert a jpg in the document.
I clicked on the "Graphics Template" and then pasted the the name of my picture in there like...
Lenses/Images -- Find final image
Two converging lenses, each having a focal length equal to 8 cm, are separated by 35 cm. An object is 30 cm to the left of the first lens.
(a) Find the position of the final image using both a ray diagram and the thin-lens equation
(c) What is the overall...
How does a photon actually "carry" an image
i understand how we see colours the photon hits an atom which gives out a photon with a different wavelength and this photon collides with chemicals in the eye etc etc.
but how is it that we actually are able to see what the photon has collided with...
Quick capacitor question
Homework Statement
Three capacitors are connected to a battery as shown in the figure below. Their capacitances are C1 = 3C, C2 = C, and C3 = 5C
What is the equivalent capacitance of this set of capacitors (in terms of C)?
Homework Equations
In parallel...
Homework Statement
An object whose height is 0.375 cm is at a distance of 10.5 cm from a spherical concave mirror. Its image is real and has a height of 1.145 cm. Calculate the radius of curvature of the mirror.
Correct, computer gets: 1.58e+01 cm
ACTUAL QUESTION
How far from the...
Homework Statement
38) Determine whether or not v1 = (-2,0,0,2) and v2 = (-2,2,2,0) are in the kernel of the linear transformation T:R^4 > R^3 given by T(x) = Ax where
A = [1 2 -1 1;
1 0 1 1;
2 -4 6 2]
39) Determine whether or not w1 = (1,3,1) or w2 = (-1,-1,-2) is in...
hello, Part of a little project of mine consists of writing C code to build a image file in .ppm format which can be viewed by the simple program xnview. The image size is going to be 256 x 128.
My code below generates a image with a smooth transtiton/graident between very dark red to light...
Homework Statement
sketch y=2 under the image w=z^(2)
Homework Equations
z=x+iy
The Attempt at a Solution
z=x+(1)i=x+i {y=1 and x can be anything}
w=z^(2)=(x+i)^(2)=x^2+2xi-1
after regrouping, w=(x^2-1)+(2x)i and then I consider x^2-1 to be the real part and 2x to...
Three questions:
1) Anyone have a pedagogic answer to why the image formed by a thin lens is inverted (i.e. upside-down)? I realize that to get a focused image, the lens has to converge the rays one way or another, so then, eventually, the rays have to cross the optic axis, which in turn...
hello, Part of a little project of mine consists of using arrays, loops and writing files, in C to build a image file in .ppm format which can be viewed by the simple program xnview. The image size is going to be 256 x 128.
I can use notepad to create simple images of flags ect. but am...
If you check out https://www.physicsforums.com/showthread.php?t=282332", you'll see some LaTeX strangeness.
Specifically, not all the images appear, and the ones that do appear seem not to match the LaTeX source. It's almost as if the images are offset: i.e. the n-th bit of source ends up...
My question is let the linear mapping T : R2->R3 be given by T(x,y)=(x-y,2y-2x,0)
write down bases for its image and null-space and determine its rank and nullity.
Find the matrix A that represents T with respect to the standard bases of R2 and R3
now i think i know how to do this but I'm...
Homework Statement
An inverted image is magnified by 2 when the object is placed 22 cm in front of a concave mirror. Determine the image distance and the focal length of the mirror.
Homework Equations
don't have,sorry
The Attempt at a Solution
firstly,i use M= -di/do then i got...
I know this may not be the right place to post this question, but I figured some of you engineering folks might have some suggestions. I am looking for a way of capturing images through a device that easily interfaces with a computer. Scanners are out of the question for my application for...
A candle is placed 1.8 m from a screen. whereshould a lens of focus length 21 cm (0.21 m) be placed between the screen and the candle to prduce a sharp image screen?
The only formula i could think of was 1/f=1/do+1/di
I've now spent 3 hours on this (test tomorrow) and still don't know...
Homework Statement
An object is placed at 30 cm in front of a diverging lens with a focal length of 10 cm. What is the image distance?
Homework Equations
1/f = 1/do + 1/di
The Attempt at a Solution
I thought this was a straight-forward question:
1/di = 1/-f - 1/do
1/di =...
So I was just thinking about how our eyes can't see things too far and too near and how there is so many microscopic reactions and organisms that we can't not see. And I just got this mental image, of my single knuckle zooming in, and it looks like a mountain. Its very discolored and there is a...
Why can an out-of-focus picture on a screen from a projector be corrected by an
intervening lens, while a lens cannot correct the out-of-focus image once
impinged on the screen?
I wanted to find the Information Entropy (Shannon Entropy) for a given image. I basically wanted to study the effects of image compression on the Shannon entropy for a given image. I am not sure as to how to go about it.
To do this, the Message Space is the image itself. Entropy is given as the...
Hi all!
Does anyone know a general method for determining the image of a lin map?
I´m aware of the definition if im, but how could I determine it. Maybe it would be useful to show this on some examples :)