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Concave lens calculator?
This tool is a thin lens formula calculator. Move the point named " Focus' " to change the focal length. To use this online calculator for Magnification of Concave Lens, enter Image Distance (v) & Object Distance (u) and hit the calculate button. Understand how varying lens parameters affect optical properties such as magnification and image clarity. Unfortunately, headlights can become foggy and discolored o. Calculate the power of the lens. Focal power of a plano-concave lens of refractive index 1 Spherical Aberration Correction. By utilizing a concave lens calculator, users can: Quickly and accurately calculate focal length and image distances for concave lenses. The focal length of a combination of lenses is a critical parameter in optics, as it determines the ability of the lens system to focus light. which corresponds to focal length f = cm. This, of course, isn't what actually happens, but it's a reasonable assumption in certain situations, such as. The most notable benefit of aspheric lenses is their ability to correct for spherical aberration, an optical effect which causes incident light rays to focus at different points when forming an image, creating a blur. A convex or converging lens is thicker at the center than at the edges, and a concave or diverging lens is thinner at the center than at the edges. Understand how varying lens parameters affect optical properties such as magnification and image clarity. The lenses can be classified as converging (convex) and diverging lenses (concave). Unfortunately, headlights can become foggy and discolored o. Focal length of Convex Lens is positive. Within a few paragraphs, you will learn: What the thin lens equation is; How to calculate image distance using the image distance equation; and; The magnification equation for lenses. One popular topic in the world of content marketing revolves around camer. A concave lens produces an image 20cm from the lens of an object placed 30cm from the lens. Enter the two knowns of i, o, and f and press the button. This calculation is crucial for understanding how optical systems magnify or reduce images, whether in cameras, telescopes, microscopes, or eyeglasses. The lens maker equation calculator is a tool that aids in the selection of optimal parameters for obtaining a given focal length. 33 has a concave surface of radius 60cm and convex with radius r= +30cm. Question: A glass of meniscus lens with refractive index 1. By inputting key measurements such as the radii of the spherical surfaces, the height of the cylinder, and the refractive index, users can quickly determine critical attributes like the lens' focal length, surface area, and volume. The focal point is the point where parallel light rays meet. Input the focal length of the mirror. Knowing the advantages and disadvantages of each lens type is crucial when choosing between optics as each has its own purpose. Interaction with Incident Light Rays. Understand how varying lens parameters affect optical properties such as magnification and image clarity. Understand how varying lens parameters affect optical properties such as magnification and image clarity. Field of view describes the viewable area that can be imaged by a lens system. How to accurately calculate the sound field formed by acoustic lenses is an important basis for the design of acoustic lens transducers. (Great conceptual tool for beginners. But, this equation is valid for both convex (converging, positive focal length) and concave (diverging, negative focal length) thin lenses. Principal Planes. The distance between the center of the concave lens and its principal focus is called its focal length. Focal Length Calculators Mirror This is an online calculator to find the focal length of a lens. Graph functions, plot points, visualize algebraic equations, add sliders, animate graphs, and more. If the lens is in a medium of index n =. The calculator will compute the image distance (d_i), which represents the distance from the lens or mirror to the point where the image is formed. Also, using lenses with plano surfaces (such as plano-convex or plano-concave) rather than lenses with curvature on both surfaces will improve wavefront quality. Adjust the position of the purple focal point circles to adjust the focal lengths of the two lenses. This is an applet that allows you to explore how an image of a near object is formed by a convex / concave lens. 10 m is used to form a magnified image of an object of height 5 mm placed at a distance of 0 Calculate the position, nature and size of the image. Focal power of a plano-concave lens of refractive index 1 Spherical Aberration Correction. Explore math with our beautiful, free online graphing calculator. Learn how to draw and differentiate a convex vs concave lens ray diagram. Explore how image of a near object is formed by a convex / concave lens. calculate power of combination. Lens Magnification Calculator A lens magnification calculator is a tool that helps determine the magnification of a lens based on the height of an object and the corresponding height of the image produced by the lens. Relate optical and mechanical parameters of simple lenses in order to ease integration into application assemblies. Enter your patient's spectacle prescription to calculate their contact lens prescription. Free Functions Concavity Calculator - find function concavity intervlas step-by-step Use the mirror equation calculator to analyze the properties of concave, convex, and plane mirrors. 1: Focal Point of Converging Lens When parallel incoming light. At what distance from a lens a 5 cm tall object should be placed, so that it forms an image at 15 cm from the lens? Also, calculate the size of the image formed. Adjust the position of the purple focal point circles to adjust the focal lengths of the two lenses. Field of view describes the viewable area that can be imaged by a lens system. Click here to donate to oPhysics. Power of Lens calculator uses Power of First Lens = 1/Focal Length 1 to calculate the Power of First Lens, Power of Lens is the reciprocal of the focal length of the lens , where D is the power in diopters and f is the focal length in meters. The calculator also determines the lens power and magnification. The Nikon D700 is a true prosumer camera featuring Nikon's FX sensor in a smaller chassis than the D3 series1-megapixel sensor, support for ISO speeds as high a. Simulation of image formation in concave and convex lenses. Conversely, the concave lenses are thinner at the centre and thicker at its edges, in structure. It is characterized by its inward-curved surfaces. The distance between the center of the concave lens and its principal focus is called its focal length. Lenses serve to refract light at each boundary. With our tool, you need to enter the respective value for Image Distance & Focal Length of Concave Lens and hit the calculate button. Free Functions Concavity Calculator - find function concavity intervlas step-by-step Use the mirror equation calculator to analyze the properties of concave, convex, and plane mirrors. By utilizing a concave lens calculator, users can: Quickly and accurately calculate focal length and image distances for concave lenses. The simplest case is that of a thin focusing lens (Figure 1a). A positive focal length indicates that a. Then, can we not say that the radius of curvature, R R of the lens is twice the focal length, i R = 60cm R = 60 c m? Lens formula is a well-designed formula that is applicable for concave as well as convex lenses. This calculator streamlines the complex. The size of the image is highly diminished and point size. v = -ve, f = -ve, u = -ve Click here:point_up_2:to get an answer to your question :writing_hand:a concave lens of focal length 15 cm form an image 10 cm from the How does a lens or mirror form an image? See how light rays are refracted by a lens or reflected by a mirror. The Nikon D700 is a true prosumer camera featuring Nikon's FX sensor in a smaller chassis than the D3 series1-megapixel sensor, support for ISO speeds as high a. Whether it’s their playful expressions or their unwavering loyalty, dogs have a way of stealing our hearts The Ronin S is a popular gimbal stabilizer that has gained significant attention in the photography and videography community. The rays parallel to the principal axis and the ray through the center of the lens are drawn. The image formed by a single lens can be located and sized with three principal rays. A concave lens has the same radius of curvature for both and has a refractive index 1 In the second case,it is immersed in a liquid of refractive index 1. Bi-concave lens, precision grade. Calculating the focal length of a lens requires knowing the distance from an object to the lens and the distance from the lens to the image. Within a few paragraphs, you will learn: What the thin lens equation is; How to calculate image distance using the image distance equation; and; The magnification equation for lenses. Like for convex lenses, the lens equation and magnification equations can be used to calculate image size and distance for double concave lenses. The focal length of a diverging lens is negative, indicating that the lens spreads out light rays. Learn how to calculate the height of an image for a concave mirror, and see examples that walk through sample problems step-by-step for you to improve your physics knowledge and skills. Indices Commodities Currencies Stocks Google has been working to better integrate its visual search tools from Google Lens into its browser to enable new types of searches that can identify what you see, not just searc. A variety of 2D and 3D parts have been created for use in the Ray Optics Module. The combination works as a converging lens of focal length 100 cm. A convex lens or converging lens focuses the light rays to a specific point whereas a concave lens or diverging lens diverges the light rays. The Thin Lens Equation relates object distance, image distance, and focal length for a lens. Select index from list of EO's own optical substrates to help calculate focal lengths and principal points of any standard lens. best 10gb ethernet card 5 c m and size of object A is three times the size of object B. Find how convex and concave lens are different in terms of their focal length, structure, types of images. Follow a light beam through a concave lens and see what happens! Learn about optics with our interactive concave lens simulation. This calculation is crucial for understanding how optical systems magnify or reduce images, whether in cameras, telescopes, microscopes, or eyeglasses. The lens formula is used to find image distance, type of image formed, and the focal length (f). The S2100 Canon RF 70-200 lens is a highly versatile and powerful lens designed for professional photographers and enthusiasts alike. Explore math with our beautiful, free online graphing calculator. Concave … Figure \(\PageIndex{3}\) shows a concave lens and the effect it has on rays of light that enter it parallel to its axis (the path taken by ray 2 in the figure is the axis of … Converging: Biconvex, planoconvex, and positive meniscus lenses focus light. Unlike a convex lens, which converges light rays, a concave lens causes parallel rays of light to diverge, or spread out. (Position of the image calculation d i = × - d i =. This is an online calculator to find the focal length of a lens. Choose from N-BK7 glass, UV fused silica, or CaF 2, all of which are available uncoated. Determining the focal length of a concave mirror and the convex lens for a distant object. 4 hours from me Concave mirror - along with sign convention. A lens can focus light to form an image, unlike a prism, which refracts light without focusing. To compute the position of the object by taking the lens focal points as origins, use this version Newton's version of thin lens equation. Get your recommendations. com to help keep the site going Q. However, it is important to choose lenses that are appropriate for a given system. The Thin Lens Equation relates object distance, image distance, and focal length for a lens. Lenses serve to refract light at each boundary. This calculator solves for focal length (f), sag, ct, et and radius of a plano convex or concave lens. R: Radius of curvature of the mirror, in meter. 20 m from a concave lens of focal length 0. Advertisement One quick way to change the way a mirror works. Bi-concave glass lenses are manufactured with both surfaces concave. african femdom Draw a diagram to show the formation of image and calculate the focal length of the lens f = − 12 It is a concave lens. With our tool, you need to enter the respective value for Image Distance & Focal Length of Concave Lens and hit the calculate button. Thin lens equation and problem solving. Understand how varying lens parameters affect optical properties such as magnification and image clarity. 33 has a concave surface of radius 60cm and convex with radius r= +30cm. Headlights are an important part of any vehicle. Magnification of Concave Lens calculator uses Magnification = Image Distance/Object Distance to calculate the Magnification, Magnification of Concave Lens is defined as the ratio of the height of an image to the height of an object. Advertisement Hans Lippershey of Middleburg, Holland, gets credit for inventing the refractor in 1608, and the military used the instrument first. The calculator will compute the image distance (d_i), which represents the distance from the lens or mirror to the point where the image is formed. To calculate a missing parameter if you know the focal length. Calculations at a convex spherical lens. They are also used in flashlights to magnify the light, and can be found in door viewers or peepholes.
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2, in which light can travel from a source to another location. Convex and Concave Lenses | Desmos Explore math with our beautiful, free online graphing calculator. The Thin Lens Equation relates object distance, image distance, and focal length for a lens. Input the focal length and object distance of a thin lens and outputs the image distance. With our tool, you need to enter the respective value for Image Distance & Focal Length of Concave Lens and hit the calculate button. Ray tracing is the technique of determining or following (tracing) the paths taken by light rays How does a concave lens correct nearsightedness? Nearsighted people wear glasses with concave lenses to correct their vision. With our tool, you need to enter the respective value for Image Distance & Focal Length of Concave Lens and hit the calculate button. In this article, we will learn about image formation by concave and convex lenses. When using the lens equation with a concave lens, however, the focal length must be assigned a negative value. We can differentiate between them by observing the focal length. Calculate the focal length of the lens. The focal length of a diverging lens is negative, indicating that the lens spreads out light rays. When an object is placed at infinity, the real image is formed at the focus. Within a few paragraphs, you will learn: What the thin lens equation is; How to calculate image distance using the image distance equation; and; The magnification equation for lenses. Two convenient and commonly used rules of reflection for concave mirrors are: (1) Any incident ray traveling parallel to the principal axis on the way to the mirror will pass through the focal point upon reflection. Despite their differences, concave and convex lenses share some similarities too. 1. At what distance from a lens a 5 cm tall object should be placed, so that it forms an image at 15 cm from the lens? Also, calculate the size of the image formed. To find the focal length of the concave lens, a convex lens is used. Bi-concave lens, precision grade. With our tool, you need to enter the respective value for Image Distance & Focal Length of Concave Lens and hit the calculate button. zillow mountain view ar In this case, the lens has been shaped so that all light rays entering it parallel to its axis appear to originate from the same point, F, defined to be the focal point of a diverging lens. Made by. Whether it’s their playful expressions or their unwavering loyalty, dogs have a way of stealing our hearts The Ronin S is a popular gimbal stabilizer that has gained significant attention in the photography and videography community. This lensmaker's equation calculator determines the focal length of a thin lens in air and if this lens is converging or diverging based on the known curvature of its surfaces and the refractive index of the lens material. Thus, a negative (concave) lens will seem less powerful, and a positive (convex) lens more powerful, as they move closer to the eye. But before you start digging, it’s important to understand the cost of buildi. How to calculate Object Distance in Concave Lens using this online calculator? To use this online calculator for Object Distance in Concave Lens, enter Image Distance (v) & Focal Length of Concave Lens (F concave lens) and hit the calculate button. Note that this equation is for thin lenses only; the equation for describing lenses in general is a bit more complicated because the path of the light through the lens itself is too long to neglect. The concave lens is a diverging lens, because it causes the light rays to bend away (diverge) from its axis. Understand how a ray diagram is used to analyze images using lenses. The Thin Lens Equation relates object distance, image distance, and focal length for a lens. Simulation of image formation in concave and convex mirrors. The Thin Lens Equation relates object distance, image distance, and focal length for a lens. By utilizing a concave lens calculator, users can: Quickly and accurately calculate focal length and image distances for concave lenses. A concave lens is a diverging lens that is thinner at the center than at the edges. paxlovid reviews reddit Draw a ray diagram to show how an image is formed by a concave lens. Image Formation for Convex Mirrors. Convex and Concave Lenses | Desmos Explore math with our beautiful, free online graphing calculator. Magnification of Concave Lens calculator uses Magnification = Image Distance/Object Distance to calculate the Magnification, Magnification of Concave Lens is defined as the ratio of the height of an image to the height of an object. … Our thins lens equation calculator can obtain the image distance of any object after being refracted by a lens of known focal length. Verify that ray tracing and the thin lens equations produce consistent. Learn how to calculate the magnification of a lens with our tool, using the lens magnification formula for precise results. Observe how the image changes when you adjust the focal length of the lens, move the object, or move the screen. Measuring the focal length of a converging lens using the lens formula This experiment is sometimes used to establish the lens formula. These lenses, like all plano-concave lenses, have negative focal lengths and can be used to diverge collimated beams. Thin Lens Distance Calculator Video. Actual thickness may vary depending upon the specific lens and frame style. Graph functions, plot points, visualize algebraic equations, add sliders, animate graphs, and more. Types of Mirrors - Types of mirrors are explained in this section. Perfect for photographers and enthusiasts who want to understand their camera lenses better and make informed decisions. By inputting key measurements such as the radii of the spherical surfaces, the height of the cylinder, and the refractive index, users can quickly determine critical attributes like the lens' focal length, surface area, and volume. when we derive the formula, we shall obtain the following. By utilizing a concave lens calculator, users can: Quickly and accurately calculate focal length and image distances for concave lenses. work from home jobs pearland The lens maker equation calculator is a tool that aids in the selection of optimal parameters for obtaining a given focal length. The S2100 Canon RF 70-200 lens is a highly versatile and powerful lens designed for professional photographers and enthusiasts alike. The video provides a detailed walkthrough of deriving the lens formula, which relates the object distance, image distance, and focal length in a convex lens. A positive focal length indicates that a. Here are some of the best online calculators available for a variety of uses,. Thin lens f = focal length of lens where f > 0 for convex/positive (converging) lens. A concave lens has a focal length of 20 cm. These lenses have negative focal lengths. When using the lens equation with a concave lens, however, the focal length must be assigned a negative value. A ray from the top of the object proceeding parallel to the centerline perpendicular to the lens. We represent this on a ray diagram by tracing virtual rays backwards from the ray leaving the lens. The image on a convex mirror is always virtual, diminished and upright. To calculate Object Distance in Concave Lens, you need Image Distance (v) & Focal Length of Concave Lens (F concave lens).
Ray diagrams provide useful information about object-image relationships, yet fail to provide the information in a quantitative form. Graph functions, plot points, visualize algebraic equations, add sliders, animate graphs, and more. To use this online calculator for Focal Length of Concave Lens given Image and Object Distance, enter Object Distance (u) & Image Distance (v) and hit the calculate button. A concave lens always forms a virtual, erect and diminished image. h 2 = radius of exit spot (image height) h 1 = radius of entry spot (object height) The spacing, t, between the two lenses will be equal to the sum of the focal length of the lenses A beam expander can be used in reverse, with the larger diameter lens as the input and the smaller diameter. They are often used to expand light or increase focal lengths in existing systems. A common Gaussian form of the lens equation is shown below. mutf fsptx The distance between the center of the concave lens and its principal focus is called its focal length. and the corresponding focal length f = cm. Graph functions, plot points, visualize algebraic equations, add sliders, animate graphs, and more. An object is placed at a distance of 0 in front of a plane mirror. The focal length of a lens is dependent upon lens curvature radius and the refractive index. Graph functions, plot points, visualize algebraic equations, add sliders, animate graphs, and more. dss accepted houses to rent why is the mirror formula and the lens formula totally different and just opposite of each other's formula and even the magnification formula. By utilizing a concave lens calculator, users can: Quickly and accurately calculate focal length and image distances for concave lenses. Earlier in Lesson 5, we learned how light is refracted by double concave lens in a manner that a virtual image is formed. Aug 6, 2022 · Our thins lens equation calculator can obtain the image distance of any object after being refracted by a lens of known focal length. To calculate Object Distance in Concave Lens, you need Image Distance (v) & Focal Length of Concave Lens (F concave lens). If a lens is not shown, please click custom part quote and our sales team will review your specifications and get back with a formal quote. concave lens: A lens having at least one concave surface, … Focal Length of Concave Lens given Image and Object Distance calculator uses Focal Length of Concave Lens = (Object Distance*Image Distance)/ (Image Distance-Object … In single lens element system, a positive focal length indicates a converging lens, also known as a convex lens, which brings light rays together to form a real image. sara jean underwood forum The combination works as a converging lens of focal length 100 cm. Graph functions, plot points, visualize algebraic equations, add sliders, animate graphs, and more. With our tool, you need to enter the respective value for Image Distance & Focal Length of Concave Lens and hit the calculate button. How do I determine if a lens is convex or concave? A convex lens has a positive focal length, while a concave lens has a negative focal length. Within a few paragraphs, you will learn: What the thin lens equation is; How to calculate image distance using the image distance equation; and; The magnification equation for lenses. Move the tip of the "Object" arrow to move the object.
For a body positioned at a distance 'u' from the optical centre of a slim convex lens of focal length 'f', an inverted and real image is generated on the lens's other side at a distance 'v' from the optical centre. A concave lens is a piece of round glass that is thinner at the centre than at the edges. Adjust the position of the purple Lens2 + to adjust the position of Lens 2. Home Make Money Do you like taking pictures? It can be fu. The 'Thin Lens Equation Calculator' is an ingenious tool designed to compute the intricacies of lens formulas. To use this online calculator for Focal Length of Concave Lens given Image and Object Distance, enter Object Distance (u) & Image Distance (v) and hit the calculate button. Understand how varying lens parameters affect optical properties such as magnification and image clarity. For a body positioned at a distance 'u' from the optical centre of a slim convex lens of focal length 'f', an inverted and real image is generated on the lens's other side at a distance 'v' from the optical centre. The video breaks down the process of solving a two-lens system problem in physics. By utilizing a concave lens calculator, users can: Quickly and accurately calculate focal length and image distances for concave lenses. It demonstrates that the ratio of the distance from the object to the lens, to the distance from the image to the lens, is the same as the ratio of the height of the object to the height of the image The behavior of concave lenses can be described by the lens equation, which relates the object distance (do), the image distance (di), and the focal length (f) of the lens: 1/f = 1/do + 1/di. Use the calculator below to find combinations of focus, object location, image location, and magnification. It diverges light rays entering the eye so they focus a little further back, landing directly on the retina instead of in front of it. Enter the object distance. The Lens Maker's Calculator uses the Lens Maker Equation 1 to calculate the focal length of a thin lens in air (or some other medium). These lenses have negative focal lengths. Where: f: focal length of the concave lens L1. The distance from this point to the first deflection from parallel is the focal length, usually expressed as -ve for a divergence. To calculate Object Distance in Concave Lens, you need Image Distance (v) & Focal Length of Concave Lens (F concave lens). The Thin Lens Equation relates object distance, image distance, and focal length for a lens. Gymnastics is a visually captivating sport, filled with breathtaking moments of strength, flexibility, and grace. A concave lens has a focal length of 20 cm. The focal point F and focal length f of a positive (convex) lens, a negative (concave) lens, a concave mirror, and a convex mirror. The diopter is the unit of measure for the refractive power of a lens. west oaks mall dmv The Thin Lens equations are very straight forward but are only valid. The Lens Maker's Calculator uses the Lens Maker Equation 1 to calculate the focal length of a thin lens in air (or some other medium). Try it today! Explore math with our beautiful, free online graphing calculator. Adjust the position of the purple focal point circles to adjust the focal lengths of the two lenses. Buy A Calculator On Amazon. Where: s0: Object distance from the mirror, in meter. Follow a light beam through a concave lens and see what happens! Learn about optics with our interactive concave lens simulation. Earlier in Lesson 5, we learned how light is refracted by double concave lens in a manner that a virtual image is formed. Plano-concave glass lenses are manufactured with one concave surface and one plane surface. Aug 6, 2022 · Our thins lens equation calculator can obtain the image distance of any object after being refracted by a lens of known focal length. This equation relates the vergence of a thin lens with the radius of curvature of its two faces and the refractive indice of the lens material. How far is the object placed from the lens ? Draw the ray-diagram. This calculation is crucial for understanding how optical systems magnify or reduce images, whether in cameras, telescopes, microscopes, or eyeglasses. This calculation is crucial for understanding how optical systems magnify or reduce images, whether in cameras, telescopes, microscopes, or eyeglasses. Aug 6, 2022 · Our thins lens equation calculator can obtain the image distance of any object after being refracted by a lens of known focal length. Compose a problem in which a student is given the focal length of two lenses, and the positions of object and image, and the student is asked to calculate the distance between the lenses. So you need a convex lens. To calculate Object Distance in Concave Lens, you need Image Distance (v) & Focal Length of Concave Lens (F concave lens). The focal length of a lens is dependent upon lens curvature radius and the refractive index. Repeat the experiment for different values of u (up to 2. Thus, a negative (concave) lens will seem less powerful, and a positive (convex) lens more powerful, as they move closer to the eye. The magnification of a lens can be described using the same parameters: M = −S2 S1 = f f − S1 M = − S 2 S 1 = f f − S 1. Thin Lens Distance Calculator: This calculator solves for one of three items given two inputs in the thin lens equation. ratio + copypasta ToriTrack® Calculator. The Lens Calculator is a powerful tool designed to aid in the precise calculation of various parameters of a lens. Adjust the position of the purple focal point circles to adjust the focal lengths of the two lenses. This calculation is crucial for understanding how optical systems magnify or reduce images, whether in cameras, telescopes, microscopes, or eyeglasses. If the lens is in a medium of index n =. A concave lens is a lens that possesses at least one surface that curves inwards. These rays form a virtual, upright, and smaller image, appearing closer to the lens than the actual. 30 m, and state the nature and size of the image. Measuring the focal length of a converging lens using the lens formula This experiment is sometimes used to establish the lens formula. The angle of incidence for a ray of light having zero reflection angle is. In today’s digital age, where smartphones and high-resolution cameras dominate the photography landscape, it’s easy to forget the artistic techniques used in vintage photography Headlights are a critical part of your vehicle’s safety system, providing you with the visibility you need to drive safely at night. Objectives After working through this chapter, you should be able to: Define what a 'thick lens' is, and calculate how to measure thickness Understand the relationship between thickness, curvature … A double concave lens is a diverging lens. An Image Distance Calculator is a tool used in optics to determine the distance at which an image is formed by a lens or a mirror, based on the characteristics of the optical system and the object distance. Here is how the Focal Length of Concave Lens given Radius calculation can be explained with given input values -> -4 To use this online calculator for Focal Length of Concave Lens given Image and Object Distance, enter Object Distance (u) & Image Distance (v) and hit the calculate button. Input the focal length and object distance of a thin lens and outputs the image distance. The figure has arrows leading the user to the different variables used in the Axicon's. The focal length of the concave mirror is 7. The principal focus of a concave lens is the point where rays hitting the lens parallel to the axis appear to have come from. Within a few paragraphs, you will learn: What the thin lens equation is; How to calculate image distance using the image distance equation; and; The magnification equation for lenses. Determining the focal length of a concave mirror and the convex lens for a distant object. The radii of curvature of the two sides have the same magnitude Using the lensmaker's formula, calculate the index of refraction of the concave lens. Understand how a ray diagram is used to analyze images using lenses.