The focal length is the distance from the center of the lens to one of these focal points. On the practice worksheet, students practice drawing their own ray diagrams an. The image formed by the first lens is treated as the object for the second lens. If a problem states that a virtual image is formed that is twice as large as the object, then you would use the relationship that d i. Focal length, virtual image, real image, object distance, image distance. Either form can be used with positive or negative lenses and. The distinction between them is dependent on the amount of precision one needs to apply to solve a problem. Draw a ray diagram and use the information from the ray diagram to fill in the box. Some of the worksheets displayed are diverging converging lens work, the lens equation, chapter 10 thin lenses, thin lens and magnification equations work, 24 2 thin lenses, thin lenses wp, the refraction of light lenses and optical instruments, thin lenses lab edited. The thin lens equation lenses can be classifi ed as either thick or thin. Long, 1992 thin lenses fundamental paraxial equation for thin lenses a thin lens is one for which thickness is negligibly small and may be ignored. In this converging lenses learning exercise, students solve 4 multipart problems to find the focal length, the distance the object will be from the lens, the magnification of the.
Propagation of errorsbasic rules university of washington. Measurements are taken from the centre of the lens. The focal length, when youve got a thin lens, theres a focal point on each side of the lens. Create an excel worksheet with the following 6 columns. The worksheet generator for sale contains 30 questions and an answer sheet. An object placed a certain distance away from a lens will produce an image at a certain distance from the lens, and the thin lens equation relates the image location to the object distance. Showing top 8 worksheets in the category thin lens. Through the center of curvature reflected back on itself.
I shall also make the approximation that lenses are thin. The application of the thin lens equation and the magni. Use the lensmakers equation to determine the focal length of a thin lens. In the light ray diagram in figure 10, the object is located in between 1 and 2 focal lengths from the converging lens. The answers are also calculated and you can see the formulas used to calculate the answers if you move to the appropriate cell. According to lensmakers formula, where, f is the focal length of the lens, u is the object distance, and v is the image distance. General physics 2 geometric optics 16 sign conventions focal length positive for converging lenses negative for diverging lenses object distance positive if the object is on the side of the lens from which the light is coming this is usually the case otherwise, it is negative virtual object. In this converging lenses learning exercise, students solve 4 multipart problems to find the focal length, the distance the object will be from the lens, the magnification of the lens, or the height of the image. Worksheet thin lens equation worksheet generator by garry. A common gaussian form of the lens equation is shown below. A converging beam of light is incident upon the lens directed toward a virtual object o that is 60 cm from the lens. C calculate the total magnification of the two lens setup in experiment 4.
The thin lens equation and the magnification equation example. Determine the focal length of a converging lens in which the object is 7. M2 y2 m1m2 y1 the system magnification is the final image size divided by the original. The is the power of lens which is measured in diopters. Thin lens equation and problem solving geometric optics.
Worksheet thin lens equation worksheet generator by. As all who have ever tried lens and mirror calculations know, the biggest difficulty we. Note that the total magnification is given by the product of the magnification of. Click on popout icon or print icon to worksheet to print or download. Thin lens equation converging and dverging lens ray. One side of the lens is flat, and the other is convex with the radius of curvature of 30 cm. Thin lens equation and problem solving video khan academy. We are assuming that a lens or mirror will form a point image of a point object, and that a. The camera uses a converging lens whose focal length is 0. Topics youll need to grasp include how lenses work and examples of how. On this worksheet you will be able to practice using the thin lens equation with spherical lenses. Simply enter another number in cell b4, the red number, and the questions will change. What kind of lens do you have if there is 120 written on it. Use the worksheet and attached quiz that will test your knowledge of the thin lens equation.
Physics stack exchange is a question and answer site for active researchers, academics and students of physics. The application of the thin lens equation and the magnification equations to single and compound lens systems will be investigated. For a thin lens of small aperture, the following relations hold. Lets use the stepalong method to find the image of an object formed by a thin lens. Showing top 8 worksheets in the category thin lens equation. Use the thinlens equations to determine location, size, orientation, and nature of the. Light entering a lens gets refracted twiceonce entering the lens and once exiting ityet in a thin lens the points of entry and. Determine focal length of a lens or combination of lenses. Determine the position of the image generated by a converging lens when its focal length is. Thin lens ray diagrams practice worksheet with rules tpt. According to this, the equation of thin lens may vary. This is the form used in most introductory textbooks.
Solve using both a ray diagram and the thin lens equation. For each case, draw the 3 principal rays to locate the image. Which lens magnified the object and which made it look smaller. Students are directed with the rules for drawing ray diagrams, including examples, for finding the image produced by thin lenses. A lens is made of glass with index of refraction 1. For the second lens in a system the object size is the image size for the first lens y2 y1. B assuming newtonian form of the thin lens equation, what are x 0 and x i for f100mm and s 0 400mm. This is a worksheet generator for the thin lens equation.
Using the lenses in front of you, look at different objects in the laboratory and record your observation. A thin lens has two focal points, one on either side, at equal distances from its center, and should behave the same for light. Quiz if an object is 12 cm away from a convex lens of focal length 4 cm where will the image be. In this system, a convex and a concave lens are separated by 50. A derive the thin lens equation in newtonian form is valid see book on page 163. A certain slide projector has a 100 mm focal length lens. From last weeks lab, re ection and refraction, you should already be familiar with the following terms. When you focus a camera, you adjust the distance of the lens from the film. The formula relating these quantities is the thin lens equation. Snc2d opt07b curved mirror equation worksheet solutions. Where f focal length, do object distance, and di image distance. The thinlens equation and the magnification equation example.
Displaying all worksheets related to thin lens equation. Some of the worksheets displayed are diverging converging lens work, holt physics diagram skills thin lenses answers pdf, chapter 10 thin lenses, converging diverging lenses ray diagrams, the lens equation, thin lens and magnification equations work, physics 11 05 image formation by lenses name lenses. Either form can be used with positive or negative lenses and predicts the formation of both. Science class 12 physics india ray optics and optical instruments refraction in thin lenses. Which one, its doesnt actually matter, because if you want to know whether the focal length is positive or negative, all you have to look at is what type of. A form using the cartesian sign convention is often used in more advanced texts because of advantages with multiple lens systems and more complex optical instruments. An object placed a certain distance away from a lens will produce an image at a certain distance from the lens, and the thin lens equation relates the image location to the object distance and focal length. Convex vs concave lens shape and size at the center.
Determine the image distance and image height for a 5. M1y1 the image size after the second lens is found by multiplying the second lens magnification by the size of the object for the second lens y2. A form using the cartesian sign convention is often used in more advanced texts because of advantages with multiplelens systems and more complex optical instruments. These two equations can be combined to yield information about the image distance and image height if the object. To the right of the lens is water refractive index 1. Use the thin lens equation to find the distance of the image.
Thin lenses are the most important optical entity in ophthalmic optics. Thin lens equation worksheets printable worksheets. Thin lens equation problems monona grove high school. Look at the lenses in front of you and try to distinguish the different types of lenses.
Write down the thin lens equation and give the approximations made to obtain it. An object is placed 40 cm in front of the lens with the focal length of 50 cm. Test of lens equation for converging lens discussion. Worksheets are diverging converging lens work, holt physics diagram skills thin lenses answers pdf, chapter 10 thin lenses, converging diverging lenses ray diagrams, the lens equation, thin lens and magnification equations work, physics 11 05 image formation by lenses name lenses, chapter 2 lens and mirror calculations. Worksheets are diverging converging lens work, the lens equation, chapter 10 thin lenses, thin lens and magnification equations work, 24 2 thin lenses, thin lenses wp, the refraction of light lenses and optical instruments, thin lenses lab edited. This equation allows you to calculate the focal length of a lens if all you know is the curvature of the two surfaces.
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