The focal length of an optical system is a measure of how strongly the system converges or diverges light; it is the inverse of the system's optical power. A positive focal length indicates that a system converges light, while a negative focal length indicates that the system diverges light. A system with a shorter focal length bends the rays more sharply, bringing them to a focus in a shorter distance or diverging them more quickly. For the special case of a thin lens in air, a positive focal length is the distance over which initially collimated (parallel) rays are brought to a focus, or alternatively a negative focal length indicates how far in front of the lens a point source must be located to form a collimated beam. For more general optical systems, the focal length has no intuitive meaning; it is simply the inverse of the system's optical power.
In most photography and all telescopy, where the subject is essentially infinitely far away, longer focal length (lower optical power) leads to higher magnification and a narrower angle of view; conversely, shorter focal length or higher optical power is associated with lower magnification and a wider angle of view. On the other hand, in applications such as microscopy in which magnification is achieved by bringing the object close to the lens, a shorter focal length (higher optical power) leads to higher magnification because the subject can be brought closer to the center of projection.
Its near point is 13.0 cm from the eyes and its far point is 50.0 cm.
a) What type of contact lenses should be prescribed to correct his nearsightedness.
Determine their focal length
b) Determine the near point of the patient when using lenses for the correction of myopia.
Hello,
Using a CCD camera and simple lenses, the probe of the cantilever and its surroundings are to be imaged. Since the cantilever is 50 um wide and some of the surroundings are to be imaged, the optimal image magnification is from 4 to 8. I therefore used a convex lens with a focal length of...
I was just checking out this experiment for finding focal length of a lens that I did few years back. the method used was called as the u-v method(https://www.concepts-of-physics.com/pdf/uv-method.pdf), and here in this method, object distance u and image distance v is measured from the sharp...
Hello. I need formulas for the focal length of a lens when I have refractive indices of two centers and two radii of curvature of spherical surfaces or one radius of curvature of spherical surfaces. I search the internet but can't find it.
The picture below shows a so-called chromatic doublet, which is designed to minimize chromatic aberration, ie the wavelength dependence of the refractive index of the glass. The first lens has a flat first surface and a concave second surface with radius of curvature R and index of refraction n1...
I tried -M=pq = f/(f-p) = f/f - f/p = 1-(f/p)
=> M+1= -f/p
=> -Mp-p=f
But since it’s the y intercept, p will equal zero and so the focal length will be 0?
First of all, Let me present some of the things I found from research. (considering convex lens)
Interpretation 1 => Focal length
is the distance from the center of the lens to the point where all rays converge.
Interpretation2 => Focal length
is the distance from the point of convergence to...
Homework Statement
A hyperopic eye has a near point of 1.10 m. Calculate the focal length of the spectacle lens required to correct the hyperopia (assume that the near point of the normal eye is 25.0 cm.)
Homework Equations
1/f=1/p+1/q
The Attempt at a Solution
I just used .25 m as p and...
Homework Statement
This isn't really a homework, but I am trying to figure out how this would work.
I have an plano-convex lens with an focal length of 500 mm. I have an laser source that I like to focus on, to the infinity. I.e. I like to see the laser lobe.
Case: What happens to image of...
The question:
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The length of a microscope pipe is $L=160\,\rm mm$,
the transverse magnification of its objective $M_o = 40\times$
and the diameter $d_o = 5\,\rm mm$.
As for the ocular/eyepiece, its magnification is $M_e = 10\times$.
1. Find out the focal length of the...
I have a Cassini PM-160 spherical mirror used in telescopes as the primary mirror. The mirror is concave with a radius of curvature of 2600mm and focal length of 1300mm. I have a very basic question.
If an on object is located beyond the focal length of a concave mirror then the virtual image...
Homework Statement
The distance between an object and its upright image is 28.0 cm. If the magnification is 0.550, what is the focal length of the lens that is being used to form the image?
Homework Equations
1/f = 1/so + 1/si
M= -si/so
The Attempt at a Solution
See included image...
Homework Statement
I'm supposed to make a ray diagram of two convex lenses when light initially hits the first lens at parallel rays. When f(total) goes to infinity, the distance between the two lenses = the sum of the focal lengths of each lens.
Homework Equations
The Attempt at a Solution...
Does the orientation of a plan convex lens affect it's focal lenght?
If I put il like in the first example in the photo and makeep the calculation using the lens maker equation I get f positive
What happens if I turn the curved face on the right?
Using the lens maker equation now the radius...
I feel a bit stuid for asking this.
I have an optical system conisting of a laser source, a lens with some focal length F and aperture stop `(with some diamater D), followed by another lens (with another focal length) f and aperture stop d at some distance r from the first aperture stop D. What...
Experiment / demonstration: Set up military surplus command tent as camera obscura / pinhole projector for observation of full soar eclipse.
Problem: lacking in personal knowledge of the formula needed to determine correct focal length to hole diameter
Solution: Request assistance from actual...
I am currently in the middle of constructing a Newtonian reflecting telescope and I had a question. The focal length for my primary mirror is 1500mm and 3mm for my eyepiece. My question relates to the path of the light inside the tube of a telescope. I understand that in a Newtonian reflector...
Homework Statement
A telescope has a focal ratio of f/7.5. You wish to use it with a spectrometer that requires a f/10 beam as its input. Compute the focal length of a 50mm diameter lens that, when inserted into the beam 150mm in front of the unmodified focal plane, produces the required beam...
Firsts of this is not my problem I don't even take physics but it is my girlfriends. She doesn't know how to get the answer an neither do I. I took some physics but not enough for this.
1. Homework Statement
A sports photographer has a 160-mm-focal-length lens on his camera. The photographer...
Homework Statement
Find the magnification of a 10" reflecting telescope with a focal length of 1250mm and a 250mm eyepiece.
Homework Equations
1/f=1/do+1/di
M=hi/ho=-di/do
The Attempt at a Solution
Not really sure where to start. If you could, please explain how you got the answer. Thanks for...
A screen is placed 90cm from a object. The image of the object on the screen is formed by a convex lens at
two different locations separated by 30cm. The focal length of the lens is what?
Homework Statement
I need to find optical power (reciprocal focal length) of this system with thin lens
Homework Equations
I tried to solve this using spherical diopter equation
n1/a+n2/b=(n2-n1)/R
where a is object distance and b is image distance
The Attempt at a Solution
equation for...
Homework Statement
1) The medium-power objective lens in a laboratory microscope has a focal length fobjective = 3.70mm . If this lens produces a lateral magnification of -42.5, what is its "working distance"; that is, what is the distance from the object to the objective lens?
2)
What is the...
Homework Statement
A thin double convex lens of focal length f is broken down into two halves at the axis. The two haves are then combined, as shown in the figure. What will be the focal length for the arrangements...
Hi,
I am using an objective lens to illuminate my object by a collimated beam. The magnification and NA is available on the objective. How can I calculate the focal length from this information? The objective is not infinity corrected. Thank you
Homework Statement
A simple method for determining the focal length of a negative lens is shown below. Prove this is true.
Homework Equations
The Attempt at a Solution
The linear magnification formula relates magnification, the distance from the lens to the image (i), the distance from...