Focal length Definition and 236 Threads

The homework problem is "An object 26.0 cm in front of a certain lens is imaged 1.60 cm in front of that lens (on the same side as the object). What is the focal length (in centimeters) of this lens" 1/f = 1/di + 1/do I tried solving based on having distance of object (do) and...

I understand completely how to go about doing this problem... I know that you would have to plot the points and draw a line of best fit and that the x-intercepts and y-intercepts would equal 1/f... but what would the actual focal length be? and how do you calculate the gradient? This is actually...

What is the focal length of a thin, flat piece of glass with no curvature? I found that the power is 0 diopters, but I don't know what the focal length is.

Homework Statement An optical system consists of two identical lenses; the focal length of each lens is fo (where fo) is positive). The lenses are separted by a distance d. Denote the focal lenths of the lens assembly by f and f'. a) Show that for any separation of the lenses f = f'...

Homework Statement An object is located 26.0cm from a certain lens. The lens forms a real image that is twice as high as the object. (i) What is the focal length of this lens? (ii) Now replace the lens used in Part 1 with another lens. The new lens is a diverging lens whose focal...

Homework Statement a) What is the focal length of the eye-lens system when viewing an object at infinity? Assume that the lens-retina distance is 1.8cm. b) What is the focal length of the eye-lens system when viewing an object 35cm from the eye? Assume that the lens-retina distance is 1.8cm...

Homework Statement A building will be photographed with a camera. The distance is 490 m to the building. The building height is 85m and width 40m. You can choose between 35mm, 50mm, 135mm and 250mm lenses (focal length of lenses). Select the lens that gives the largest image of the building...

Homework Statement A small object is 25.0 cm from a diverging lens as shown in the figure . A converging lens with a focal length of 11.4 cm is 30.0cm to the right of the diverging lens. The two-lens system forms a real inverted image 17.0 cm to the right of the converging lens. The...

Homework Statement When using the lens formula: 1/f = 1/u + 1/v for someone who has short sightedness and cannot focus on objects on objects more than 2.5m away, I get: 1/f = 1/infinity + 1/-2.5 f = -2.5 mIf using the formula for someone who had long sightedness and could not focus on...

Homework Statement An object is located 27.5 cm from a certain lens. The lens forms a real image that is twice as high as the object. b) Now replace the lens used in Part A with another lens. The new lens is a diverging lens whose focal points are at the same distance from the lens as the...

The distance between an object and its upright image is 15.5 cm. If the magnification is 0.7, what is the focal length of the lens being used to form the image? Answer in units of cm. So I tried combining the equations p+q=15.5 and -q/p=.7 and still was unable to come up with a correct...

I'd like to ask does thinner convex lens give a shorter focal length? If so, why is it? thanks very much~~

Let's say that there are three lenses A (all of which are semicircles: flat on one side, curved on the other). One lense is a short and curved D, another lense is a very elongated and narrow D (longer than the first lense), and the third lense is as long as the second lense but has a sharper...

The given problem: What is the focal length of a Plano-convex lens, assuming parallel rays of light from s=∞ is traveling from the flat end of the lens. The lens is a glass hemisphere of radius R. Additionally the index of refraction of glass is higher than that of air. Homework...

Hey, When dealing with convex mirrors I know that the image will always be virtual,upright and diminished. So when I am using descartes's formulae i know that for convex mirrors that the focal length is negative, but does my 1/di become negative? because virtual images have a negative height...

Homework Statement Rearrange the lens equation to make 1/v the subject of the equation and then write it as a linear equation. This will lead you to a possible graph for data of object distances and image distances from which you will be able to evaluate the focal length f of the convex lenses...

Hey guys, I am really stuck on my homework review and really require help! Someone please help ! :( Homework Statement Question 1: A telescope has a focal length of 18m. If the suns diameter is about 1.39 x 10^9m and its distance from Earth is 1.49 x 10^11, how large is the telescopes image...

Lens and distances I do use images as help when working theses out. going to try and scan theses in but tryed my best just using pc for now. 0 = lens F = focal length 1) a camera with a 50mm focal length lens is focused on a persons face 1m from the lense. show that the film will be about...

1. A nearsighted person wears contacts with a focal length of -7.6cm. If this person's far point distance with her glasses is 8.7m, what is her uncorrected far point distance? 2. 1/F=1/do+1/di 3. 1/-7.6=1/do+1/870 =-7.534 I am completely lost here...please help. Thanks!

[SOLVED] Focal length of a mirror 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, 150 cm from the object. What is the focal length of the mirror? Homework Equations 1/f=1/s+1/s' m=h'/h m=-s'/s...

Homework Statement Hello Two plano convex with f1=f2=30mm and R1=15.45mm and R2=-R1. The two plano convex have the same thickness too (3.16 mm) and their curves colide in the propagation axis. I believe you understand what i mean What is the focal length of the two plano convex system...

Homework Statement A 2.0-cm-diameter spider is 3.0 m from a wall. (a) Determine the focal length of a lens that will make a half-size image of the spider on the wall. (b) Determine the position (measured from the wall) of a lens that will make a half-size image of the spider on the...

Homework Statement The near point of a naked eye is 25 cm. When placed at the near point and viewed by the naked eye, a tiny object would have an angular size of 5.2X10-5 rad. When viewed through a compound microscope, however, it has an angular size of -9.20X10-3 rad. (The minus sign...

Hi. If using: f (focal length) = a / ( 2 x arctan (theta / 2)) where a = 13 and is the Field of View the value I get for the focal length is 0.03 and this seems too small. Unless the calculation has not been done right? Thanks.

Hi. It asks to calculate the focal length range of a projector of square pixel SXGA is from 4 to 12 m from the screen. It gives the diagonal size of the display (in mm) as well as the horizontal size (in m). The thing that am not sure about is how the focal length would be calculated with the...

Lens -- find the focal length 1. An object 3.0 cm tall is placed 20 cm in front of a converging lens. A real image is formed 10 cm from the lens. What is the focal length of the lens? 2. 1/f = 1/do + 1/di 3. 1/f = 1/do + 1/di 1/f = 1/20 + 1/10 f = 6.667 cm...

Homework Statement Without her contact lenses, Kat cannot clearly see an object more than 70.0cm away. What should be the focal length of her corrective contact lenses?Homework Equations 1/f = 1/p + 1/qThe Attempt at a Solution 1/f = 1/infinity + 1/-70.0cm = -0.0143cm f = -70.0 cm Would anyone...

Homework Statement Veronique is nearsighted; she cannot see clearly anything more than 6.50 m away without her contacts. One day she doesn't wear her contacts; rather, she wears an old pair of glasses prescribed when she could see clearly up to 8.00 m away. Assume the glasses are 2.0 cm from...

Homework Statement Anne is farsighted; the nearest object she can see clearly without corrective lenses is 2.4 m away. It is 1.8 cm from the lens of her eye to the retina. What should the focal length of her contact lenses be so that she can see clearly objects as close as 24.0 cm from...

Homework Statement The diagram shows the eye of a person with normal vision looking at an object that is very far away. a) Determine the focal length of this persons eye. b) Later in this person's life, the focal length will change to between 2.1 cm and 2.3 cm. Will this person suffer from...

Homework Statement When a diverging lens is held 12 cm above a line of print, as in Figure 26.29, the image is 4.1 cm beneath the lens. What is the focal length of the lens? Homework Equations 1/di + 1/do = 1/f The Attempt at a Solution 1/di + 1/do = 1/f 1/4.1 + 1/12 = 1/f f =...

Hi All! Im a bit confused regarding the relationship between focal length and the thickness of a lense. In the lab that we performed, my data seems to be skewed and I am unable to decipher the trend. Can someone explainwhat happens to the focal length as the thickness of the lenses...

Homework Statement A nearsighted person has eyeglasses with a -1D prescription. If the near point is at 23 cm without eyeglasses, where is it when they are put on? Homework Equations (1/f)=(1/do)+(1/di) The Attempt at a Solution I got the answer which is 0.298701298 meters by...

Homework Statement An object that is 6.00 cm tall is placed 40.0 cm in front of a diverging lens. The magnitude of the focal length of the lens is 20.0 cm. Find the image position and size. Is the image real or virtual? Upright or inverted? Homework Equations / The Attempt at a...

hi again. i totally rocked my physics homework this week, except for this last one. Homework Statement Consider a spherical mirror without making the paraxial approximation (Fig. 36-47, attached as a file). When a ray parallel to the axis makes an angle θ with the radius R at the point of...

Homework Statement A 2.0-cm-diameter spider is 2.0 {\rm m} from a wall. Determine the focal length of a lens that will make a half-size image of the spider on the wall. Determine the position (measured from the wall) of a lens that will make a half-size image of the spider on the wall...

Hello, I need help with the lens experiment, the aim of which is to determine the focal length of a concave lens by combining it coaxially with a convex lens. Given the focal length of the CONVEX lens is 15cm. and the focal length of the CONCAVE lens is 30cm. Can you give me a set of...

A concave mirror creates an image on the screen 2x larger than the object. Both objects and screen are subsequently moved in order to create an image on the screen 3x larger than the object. 1) If the screen is moved 0.75 m in this process, how far is the object also moved? 2) What is the...

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...

Homework Statement The nickel's image in the figure below has twice the diameter of the nickel when the lens is 2.90 cm from the nickel. Determine the focal length of the lens. Homework Equations M = h'/h = - (p/q) The Attempt at a Solution i don't really know how to start this...

Homework Statement Suppose the lens in a human eye has far focal length equal to f0 = 40.1 mm, for distant objects to be in focus. A. An object K is 1.69 m from the lens. How much should the focal length change to focus on the object K? B.What is the magnification ( = image size...

Homework Statement Mastering physics problem 23.76 difficulty rating: two bars=difficult 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, 180cm from the object. What is the focal length of the mirror? Homework Equations...

Is there any way to find rough focal length of concave lens and convex mirror without using convex lens? Though I did the experiments(with object and image needles, not candle) very carefully with no parallax errors during my practical class, my readings are incorrect. I want to know if der s...

Homework Statement A 2.0-cm-diameter spider is 1.80 m from a wall. A. Determine the focal length of a lens that will make a half-size image of the spider on the wall. B. Determine the position (measured from the wall) of a lens that will make a half-size image of the spider on the...

Homework Statement A converging lens (convex lens) creates an image that is 2 times the size of the object. The object is placed: Homework Equations -di/do = hi/ho 1/f = 1/di + 1/do The Attempt at a Solution I thought the answer was that the object is place two focal lengths...

Can anyone explain to me the procedure that one would follow to you find the focal length of a concave lens using a convex lens? Thanks.

Homework Statement A lens has a focal length of 120 cm and a magnification of 4.0. How far apart are the object and the image? Homework Equations I used the thin lens equation 1/f = (1/di + 1/do)^-1 and M = -d image/d objectThe Attempt at a Solution I have been trying this by rearranging the...

SK15075PEQ3-2 - Diameter/Aperture: 150mm - Focal Length: 750mm - Diffraction-limited secondary mirror support - Paraboloidal (parabolic) primary mirror - 150 primary mirror gathers enough light to reveal deep-sky luminaries. 33% more light gathering power than 130mm, 73% more light than...

This is a simple wording confusion. On one question that I did, the property for a positive focal length image was Real, Diminished and Inverted. On another question of the same type, the property for a positive focal length image was Real, Inverted and Smaller. So, my confusion is the...

Homework Statement If there is a line from the focus of a parabola such that it makes an angle \theta with the x-axis. It intersects the parabola at a point 'P'. I want to find the focal length of the point P as a function of \theta. The Attempt at a Solution The equation of the parabola is...