Magnification Definition and 176 Threads

##\frac{1}{v}−\frac{1}{u}=\frac{1}{f}## For objective lens of focal length 1 cm ##\frac{1}{v}+\frac{1}{u}=1## ##\frac{1}{v}=\frac{u−1}{u}## ##v=\frac{u}{u−1}## Distance from eyepiece = 20-v=u' u′=##\frac{19u−20}{u-1}## Magnification=(Angle subtended at eye by final image)/ (Angle subtended at...

Hi, I am working on a project for a near-eye display where I need to magnify and project far out a real image using a mirror. I have some off the shelves mirror that I am experimenting with but I can't seem to get any perceived magnification at all when I use a concave mirror. To illustrate the...

The following photo was taken of a mirror in my hotel room in Dublin, Ireland a month ago. This mirror has two individual panes, I assume silvered differently. Why? Is the magnification of the left pane intentional, a mounting effect or a consequence? I appreciate whatever you may have to...

Assuming the use of an electron microscope, what magnification would be needed to image a computer microchip at the micrometer level? Thanks in advance.

I have 2 lenses. L1 and L2 with focal lengths f1=910mm and f2=40mm, respectively. They are separated by a distance d=f1+f2. The magnification of the system is M1=-f2/f1=.044. If I have a normally incident, collimated beam pass through my system I will have a beam, parallel to the optic axis exit...

HI I am currently playing with imaging device that would take pictures of the content of the bottom of the small plastic container. The container is just a tube of 7mm in diameter. When I image an empty tube I get a proper high contrast image of the dust on the bottom of it. However the...

I would like to realize an image of the cantilever. The dimensions are (450x50) microns. I would like to use a self-constructed telephoto lens. This consists of two lenses. The image magnification can be 4 to 8. The magnification of the image is nothing more than the ratio between the two focal...

Using the data given and recalling that in this configuration ##R<0## I get: ##\frac{1.33}{0.5}+\frac{1.5}{q}=\frac{1.5-1.33}{-0.2}\Rightarrow q\approx -0.427 m=-42.7 cm## so the image is virtual and is ##42.7\ cm## to the left of vertex ##V##. The magnification is ##M=\frac{n_1 q}{n_2...

I would like to use a pentaprism with some amount of magnification. The pentaprism will be used to reflect a real image at 90 degrees angle but I also want the reflected image to appear larger. The distance between the prism and the real image is about 70cm. The pentaprism has two reflecting...

In the video above we can see the wave like patterns. The microscope on the video, used on the experiment, has a low quality and a low magnification. If anyone has a scientific article or a video source for such experiment with low magnification but with a high quality of definition it would be...

From ray tracing I would say that the image is upright. Using the equation ##\frac{1}{p}+\frac{1}{q}=\frac{1}{f}## with ##f=-\frac{R}{2}=-2## and ##M=-\frac{q}{p}=\frac{3}{4}## I get ##p=\frac{2}{3}cm\simeq 0.67 cm##. Is this correct? Thanks

Ok so for a compound microscope system like the one below, Magnification power is ## MP = M_T * M_A ##. My present understanding is that ##M_T## refers to the magnification by height ratios of the object through L1, and ##M_A##, in this case, refers to the ratio of unaided and aided angles of...

I have a difficult to articulate question about digital microscopes. I was reminded by my post in the STEM toys thread when I mentioned the Eyeclops. How does one define what strength something is magnified at when you can cast the live image onto monitors of various sizes? An image magnified...

In gravitational lensing, the image magnification is defined as the image area over the source area. But many texts also give it as the inverse of the determinant of the jacobian, A, of the of the lens equation. My question is how these are equivalent. The lens equation is...

Would you able to tell me what’s the ideal angle Of a curved glass in order to Magnify an object inside an aquarium to the maximum. Also what would be the ideal distance of the object inside the aquarium. Sorry if I didn’t explain myself properly. I‘m hopeful somebody would be able to explain it...

The equation gives us that i = -mp = -0.4 * 30 = -12 The 'correct' answer is +12. Did I miss something here?

Magnification |M|<1 = smaller |M|>1 = larger This is my reasoning because the magnification is -d0/di so it is the ratio that matters. Because wouldn't the sign just affect the type of image?? If you consider the sign in image size, you are saying that only one type of image (real/virtual)...

I tried assumed ##\theta \approx sin \theta \approx tan \theta##. By Snell's law(after approximation), $$n_1 \tan( i_1)= n_2 \tan( i_2)$$ If ##\tan (i_1)=\frac {h_o}{ u}## and ##\tan (i_2)=\frac {h_i}{ v}##,then $$m=\frac {h_i}{h_o}=\mod{\frac {v n_1}{un_2}}$$ Which is the expected...

I don't really know how to relate the effective and back focal lengths for magnification purposes. Literature review suggests that a lens of 1mm diameter can have a magnification of 350x-400x, but I don't really know the calculations behind it. Please advise.

In order to get a very general sense of the scale of order of magnification power of telescopes: If a hobby telescope i have, has a magnification power of X100, what would be the magnification power in terms of X, of the following: 1. Hubble 2. James Webb 3. Gravitational lensing

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?

My teacher taught me a formula for magnification in case of Compound Microscope, Magnification=(Angle Made By Object On Aided Eye)/(Angle Made by Object on Un-aided Eye) Can I use this formula for calculating magnification of Astronomical Telescope? Thanks!

Good evening, In the following weeks, I will be performing a lab project during three sessions and one of the things that I have to do is to create a microscope using a set of lenses (We are using a 50mm focal length convergent lens as the objective and a 100m focal length convergent lens as...

Hello, I'm having trouble understanding how and why the math is the way that it is to get the answer. The question states: A specimen has a diameter of 1.5 micrometer. What is the minimum magnification that will allow a human to resolve this object? 150 micrometer/1.5 micrometer = 100X <--...

Take a neutron star, its surface will be gravitationally self magnified so that it looks bigger to the distant observer, than it 'really' is, plus you can see some of the rear facing surface. If you take the centre of the neutron star, then this process must go on there also, although unseen...

Homework Statement It is desired to magnify reading material by a factor of 3.5× when a book is placed 9.5 cm behind a lens. What is the power of the lens in diopters? Homework Equations 1/f = 1/di + 1/do M = -di/do P=1/f The Attempt at a Solution I set equal the magnification to -di/do and...

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 and magnification? Can someone please explain this with a diagram of the different possibilities (or, if not, just give a detailed explanation on...

My brother's physics teacher says that magnification and height of image are always positive. Is she right?

Firefox 59 intermittently displays only part of content on a page if i click menu bar and change magnification up or down one setting, ie from 100% to 90 or 110 it finishes but if change back to initial magnification it disappears again windows 7 firefox 59.0.1 anybody else seen that ? old jim

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 f=42[/B] Find the height of the image produced when a 3.0 cm -high object is placed at distance f+10cm Homework Equations The Attempt at a Solution 1/52= 1/3 +1/di di=49 However, this is wrong for some reason. Thanks

Homework Statement I have a system like image below An object 1 (OP = Object plane) is projected onto the image plane 1 (IMP) where an eye is located, with a beam splitter (BS). This eye is also looking at some object at distance far away. I would like to magnify this image of the object at...

What is the max magnification of 0.5mm film lens. Film is just on the top of flat object(Paper, Display, Picture, etc). If Fresnel lens is made on top of the film, Can I magnify the object? Thank you.

Homework Statement In magnification, I keep on confusing the signs. From what I understand currently, magnification is positive when the image is erect. An image is only erect when it is a virtual image, therefore virtual images = positive magnification. Vice versa, magnification is negative...

Homework Statement I am asked to draw the ray diagram for an incident plane wave whose rays are at an angle α with respect to the optical axis of the telescope. I have done this, but I need to find an expression for the angle between the outgoing rays and the optical axis, in terms of f1, f2...

Homework Statement "Find the magnification of the following system: A diverging lens with focal point -9.5 cm is placed 4.35 cm to the right of a converging lens with its own focal point of 13.0 cm. Parallel light enters the converging lens from the left." Homework Equations M = -p/q 1/p + 1/q...

Homework Statement A magnifier has a magnification of 9× How far from the lens should an object be held so that its image is seen at the near-point distance of 25 cm? Assume that your eye is immediately behind the lens. Express your answer to two significant figures and include the...

If you know the focal length of a lens and use the lens equation 1/do + 1/di = 1/f by assigning some arbitrary do and solve for di, can you then find the magnification just from the focal length from -di/do?

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...

why do we can't see Newton's ring through our naked eye?why do we need microscope? but interference pattern due to oil film or soap bubble can be seen through naked eye

So there are two facts that I know: 1) The farther the image is formed from a mirror/lens, the bigger it is. 2) The more powerful a lens is, the closer the image is formed assuming the object at a fixed distance. I can't reconcile these two facts. Common sense says that the stronger the lens...

Homework Statement Basically, derive the formula ## m = \frac{ 25 cm}{f_e} \frac{L}{f_o} ## using ray matrices. This just has variable tube length and assumes eye to object distance is 25 cm. Homework Equations Ray matrices: ## \left[ \begin{array}{cc} 1 & d \\ 0 & 1 \end{array} \right] ##...

Homework Statement The distance between the objective and eyepiece lenses in a microscope is 21cm . The objective lens has a focal length of 5.5mm. What eyepiece focal length will give the microscope an overall angular magnification of 350? Homework Equations M=(25*d)/(fe*fo) or...

In case of simple microscope .we take angular magnification I know The angular magnification of an instrument is the ratio of the angle subtended at the eye when using the instrument divided by the angular size without the instrument But what I am not getting is how this subtended angle is...

Homework Statement You wish to obtain a magnification of -2 from a convex lens of focal length f. The only possible solution is to: A) place a virtual object at a distance 2f/3 from the lens. B) place a virtual object at a distance 5f/3 from the lens. C) place a real object at a distance...

We have a high power plus lens of known front curve, index, and center thickness and have placed a known diameter circular target at a known distance behind the lens. Observing the circular target through the lens we compute the ratio between the diameter of the original circular target behind...

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 The wing of an insect is 1.7 mm long. When viewed through a microscope, the image is 1.4 m long and is located 5.9 m away. Determine the angular magnification. Homework Equations di/do=hi/ho M=beta/alpha alpha=object size/object distance beta=image size/image distance The...

1. Homework Statement The wing of an insect is 1.7 mm long. When viewed through a microscope, the image is 1.4 m long and is located 5.9 m away. Determine the angular magnification. Homework Equations di/do=hi/ho M=beta/alpha alpha=object size/object distance beta=image size/image distance...

Homework Statement This is not really a homework problem but I wanted to figure out how to derive the equation for a strained eye which is $$ M= (N/f) $$ where N is the object distance from the normal near point, and f is the focal length of a magnifying glass. But then, this is for a relaxed...