For the first part, I got correct:
M = (lambda*f)/r_n
Converting units to meters (m) then plugging them in:
(550x10^-9 m) * (0.67 m)/(0.0125 m) = 2.948x10^-5 or 29.48x10^-6 m or 29.48 nm
This checked out.
For the second part, using the information from the first part:
f = r^2/(n*lambda) =...
Hi, i would like to design a optics in zemax for collimation of guassian beam. The collimation is to be done for the beam for off axis rays. Attached the foto of what i would like to achieve.
Hello esteemed members,
I hope this message will find you well,
I have encountered this problem in Serway and Jewitt 9e.
My problem is only with parts (d) and (e).
I tried to solve the problem in two ways, one is based on intuition, and the second is based on the equations, but the two method...
Hi. I’m trying to solve an optics problem and really struggling. The problem is best described as follows…
Imagine you have a section of a wall that you want to look like a window on a spaceship. So you want to look at this “window” and see through it some “stars” (i.e. pinpoints of light) that...
I have recently started with geometric optics and I do not quite understand what this problem asks of me. According to the statement, the focal point of the lens would be -25.5cm, right? That is, it is only a problem of concepts where it is not necessary to take into account the radii of the...
The actual problem can be found as #2 on this link: https://ocw.mit.edu/courses/mechanical-engineering/2-71-optics-spring-2009/assignments/MIT2_71S09_ups1.pdf
I rewrote the problem above with the solar irradiance data that they give.
My interpretation is of a square 1 m x 1 m plane sitting...
I know how to solve the problem but the only thing that's bothering me is what is A?
According to me A is should be 2F ie 2 times the focal length distance. I thought of it like this:
1. First there will be an image formed due to the lens.
2. The image will be formed below the lens but the...
Im thinking that this is a telescope, but I am having a lot of trouble answering this question.
If the plane waves arrive at different angles, wouldn't the image be distorted?Would the lenses possibly be spherical because of this?
Homework Statement
An object is 25.0 cm to the left of a lens with a focal length of + 15 .0 cm. A second lens of focal length +15.0 cm is 30.0 cm to the right of the first lens. Find the location of the final image and draw it out.
Homework Equations
1/f = 1/di + 1/do
The Attempt at a...
Homework Statement
A galileibinocular consists of two lenses with ƒobjective = +30 cm and ƒokular = -10 cm. The distance between the lenses is 30 cm and the binocular is aimed at an object 90 cm away from the objective lens.
Where is the image of the object seen through the binoculars? (the...
I believe I have answered the first question correctly (although I am not certain of this). And I'm struggling with grasping how to approach the second part of the question. Any guidance or recommedations on reading material would be greatly appreciated.
Homework Statement
Contact lenses are...
Homework Statement
A nearsighted man uses his ideally prescribed contact lenses that have a refractive power of −3.60 diopters. He would like a prescription for eyeglasses. What is the correct eyeglasses prescription if he wears his eyeglasses a distance of 2.30 cm from his eyes?
Homework...
Homework Statement
An object and its lens-produced real image are 2.4 m apart. If the lens has 55-cm focal length, what are the possible values for the object distance?
Homework Equations
1/s+1/s'=1/f
The Attempt at a Solution
The object and the image are 2.4m apart so I thought "Hey, that...
Hello
I have an optic problem
I want to calculate absorbtion index
I know transmittance by 90% ;refraction index to material 1.586 ; thickness 2 mm ; power of source 21 lm
Homework Statement
A plane mirror is placed at the origin. A converging lens with a focal length of 5.00m is located at x=12.50m. A object is placed at x=22.5m
Find the final location of the image in terms of its X coordinate & magnification.
Homework Equations
1/q + 1/p = 1/f (lens)...
Homework Statement
[/B]
A parallel quadratic slab of glass (n = 1.55 and thickness d = 2 cm, L = 21 cm) rests on a large slab of glass (n = 1.55). To prevent the optical contact weld forming between the two polished surfaces, a small teflon ball (D = 1 cm) is inserted between the slabs on one...
Homework Statement
A real object is placed 9.00 cm from a converging lens that has a focal length of 24.0 cm. The image is________.
My classmate answered "14.4 cm from the lens, virtual, and enlarged," but apparently this is incorrect. I solved it out and chose the option "14.4 cm from the...
Hi friends,
Please help me in answering this problem
The problem is as follows,
https://fbcdn-sphotos-e-a.akamaihd.net/hphotos-ak-prn1/s480x480/11130_2937865262994_1085043361_n.jpg
Well,
Friends when the lower mirror would be at position 'A', which is moving in the upward direction...
Hi friends,
Please help me in answering this problem
The problem is as follows,
https://fbcdn-sphotos-g-a.akamaihd.net/hphotos-ak-ash3/s480x480/557923_2937818221818_1718139220_n.jpg
Well,
As far as I am concerned, When white light fall on the first surface, after refraction...
Hi friends Please help me in solving this issue too.
The problem is as follows :
https://fbcdn-sphotos-g-a.akamaihd.net/hphotos-ak-ash3/526477_2890689763636_1631084369_n.jpg
As it seems that the rays are striking on the the spherical surface parallel to the principal axis so u → ∞...
Hi friends,
I am sticking in a problem of Geometrical OPTICS,
The problem is as https://fbcdn-sphotos-e-a.akamaihd.net/hphotos-ak-snc6/285225_2890687243573_1306065782_n.jpg
Attempt -
Here for the convex lens applying the lens formula
1/v - 1/u = 1/f
so, 1/v = 1/u + 1/f
1/v = -...
Homework Statement
A convex mirror with a focal length of -20 cm is 18 cm from a convex lens whose focal length is 6.0 cm. An object is located between them, 10 cm from the mirror and 8.0 cm from the lens. The object will produce two images, one from the light which just goes through the...
A person with myopia is standing 50 cm in front of a mirror with glasses on (-1.75 dpt). Will he be able to see himself clearly?
1/f = 1/v + 1/b
I get that b = 26 cm. However my teacher says it should be 100. Is this correct?
I am stuck with considering a problem. I don't even really know where to start so any pointers would be a great help.
I am considering a semi-analytic model for some data i have. The situation is looking at how light propogates from a point source in diamond to air. At the surface of the...
Homework Statement
A point source of light P that is located in a medium 1 with refractive index n1, and its
image O in the medium 2 with refractive index n2 > n1. The
boundary between the two media crosses the plane of the drawing along the curve B. Taking the position of the image as an...
Homework Statement
Hi, I am trying to work through exercise 2.1 on page 37 of Microcavities (by alexy kavokin, jeremy baumberg, guillaume malpuech and fabrice laussy)
the problem is to prove
| g^{(1)}(\tau) | = | cos( \frac{1}{2}(\omega_1 - \omega_2)\tau) ) |
where...
We wish to attempt to duplicate some of Newton's results with a lens and prism. A lens with focal length 10cm is placed in a ray of sunlight, and a prism is placed at the "downstream" focal point of the lens. The light passing through the prism is broken into its component colors. If it is an...
Homework Statement
-Find the sum of the two quantities:
Y1=sin(Wt) Y2=sin(Wt+30 degrees)
Homework Equations
Y(x,t)=AsinK(kx+Wt) <------- not sure if this is relevant
W=2(3.14)f , where f=frequency
The Attempt at a Solution
sin(Wt) + sin(Wt+30) = sin(Wt) + sin(Wt) +...
Homework Statement
An Object and a screen are located a fixed distance D apart.
(A) Show that a converging lens of focal length F placed between the object and screen will form a real image on the screen for two positions that are separated by a distance d=(D(D-4F))^1/2
(B) Show that...
Homework Statement
I must show that a point source placed at one of the focii will produce a plane wave (or vise versa) when the light is refracted through the interface. This problem is really kicking my ***, I've spent at least three hours trying to figure out different ways to do it...
Homework Statement
A dentist uses a curved mirror to view teeth on the upper side of the mouth. Suppose she wants an erect image with a magnification of 2.00 when the mirror is 1.25 cm from a tooth. (Treat this problem as though the object and image lie along a straight line.) What kind of...
Homework Statement
A woman is wearing bifocals that have one-half of the lens with a power of -1.2 D and the other with a power of 1.8 D. A lens provides her with a far point set at infinity and other will give her a near point of 25 cm.
Where are her near point and far point WITHOUT her...
Homework Statement
A young lady wants to see herself in a small mirror, the ear to ear width of her face is 6 in and eye to eye is 4 in. What should be the minimum width of a mirror so that she can see her face completelyHomework EquationsThere a few equations which when directly applied give...
1. Light propagating from water into air is incident on the water surface at the angle of total internal reflection. (a-int = 48.75 degrees) A plane parallel glass plate (n-glass = 1.5) is brought into contact with the surface of the water. Calculate the angle 'alpha-external' (a-ext for...
Draw a cylinder, with diameter D and length/height infinity, mark the top point Y and the bottom point Z
Now Say a person falls into this cylinder/hole. (there are equal sources of light emitting into each end of the tube)
From the falling person's perspective the point Z looks like an...
Homework Statement
The block of glass n = 1.5 shown in cross section in the figure (Intro 1 figure) is surrounded by air. A ray of light enters the block at its left-hand face with incident angle Θ1 and reemerges into the air from the right-hand face directed parallel to the block's base...
Homework Statement
The figure shows a meter stick lying on the bottom of a 100-cm-long tank with its zero mark against the left edge. You look into the tank at a 30^\circ angle, with your line of sight just grazing the upper left edge of the tank.
1)What mark do you see on the meter stick...
Optics Problem( pleasez help me)
Consider a telescope with an aperture of 18 inches and focal length of 120 inches.
what is the diameter of the star imaged in focal plane of telescope? Take the image diameter to be associated with the first minimum in the diffraction pattern of the image. Use...
Homework Statement
If a plane mirror is hung at an angle of 30 degrees from the vertical toward the viewer. what is the minimum length that will allow the viewer to see the full body image if the line of vision can not be depressed below the horizontal. you may assume that the eyes are at the...
Homework Statement
Consider a bathroom mirror with a glass sheet of thickness d and an index of refraction n. Your face is located at a distance h from the front surface of the galss sheet. a
a. find the position of the image of your face that you see due to the reflection from the front...
Homework Statement
A pair of vertical plane mirrors stands with an angle of = 60.5 degrees between them. A pencil of light approaches in a direction parallel to one of them, as shown. After the pencil has left the mirrors, in which direction will it be going? (Give your answer as the angle...
Homework Statement
A point source of light is located 3.56 m below the surface of a large lake of clear, but contaminated, water (Lake Ontario, where n = 1.28). Find the area of the largest circle on the lake's surface through which light coming from the source can emerge into the air...
Homework Statement
Two positive lens are to be used as a laserbeam expander. An axial 1mm diameter beam enteres a short focal length positive lens, which is followed by a somewhat longer focal length positive lens from which it emerges with a diameter of 8mm. Given that that first lens has a...
1. An object (height o) is placed at an object distance S in front of a converging lens. The lens is placed at a distance d<Si (image distance) in front of a very thick glass plate (index of refraction n, thickness larger than image distance). The surface of the glass plate is perpendicular to...
Homework Statement
A plane mirror is located at the origin. A converging lens with focal length 5.00m is located at x=1m. An object is placed at 31m.
What is the location of the final image, as seen by an observer looking toward the mirror through the lens?
Homework Equations
1/f = 1/s...
I understand the material this problem is based on very well, but I feel very sad when I read this problem because it makes very little sense to me. I'm hoping it's just me that's confused by it and not everyone else - because in that case I should be able to get help here.
Here is the...
Hey , I need some indication to solve this problem:
A ray light impinges at a 60 degres angle of incidence on a glass pane of thickness 5mm and index of refraction of 1.54.
the ligth is reflected by a mirror that touches the back of the pane. By how much is the beam displaced compared with...
A ray of light is normally incident on the face PQ of a plastic prism with an index of refraction n=1.25 as shown in Figure 1. Determine the largest value of angle \theta so that the ray is totally reflected at the face PR.
I just want to know whether the sum of the incidence and reflection...