Concave mirror formula. Concave mirrors are used in a number of applications.

Concave mirror formula 21. One key factor of a concave mirror is that light rays coming in parallel (from an infinite distance) will all come together at the focus. This equation is commonly known as the mirror equation Derive mirror formula for a concave mirror and convex mirror. Spherical mirrors are divided into two types: 1- Convex mirror 2- Concave mirror FOCAL POINT AND FOCAL LENGTH Diagrams showing the reflection Dec 16, 2024 · For a Convex Mirror,The focus and center of curvature is on the right side of the mirrorSo, there will only be 2 cases. The mirror formula is applicable for both, plane mirrors and spherical mirrors (convex and concave mirrors). In figure triangle A'B'F and ENF are similar. 0 cm in size, is placed at 25. The mirror formula derivation is provided here 5 days ago · There is a definite relationship between the image characteristics and the location where an object is placed in front of a concave mirror. Numerical. 4. A concave mirror has a reflective surface that is curved inward and away from the light source. The first (a) Draw a ray diagram to show image formation when the concave mirror produces a real, inverted and magnified image of the object. Both planar and spherical mirrors (convex and concave mirrors) use the mirror formula. And is written as : \( \frac{1}{v} + \frac{1}{u} = \frac{1}{f} \) This formula Image Distance of Concave Mirror with Virtual Image formula is defined as the distance between the virtual image and the concave mirror, which is a crucial concept in optics, describing the relationship between the object distance, focal length, and image formation in concave mirrors, essential for understanding mirror-based optical systems and is represented as v Focal length and radius of curvature of a concave mirror are positive where as that of convex mirror negative. Let AB be an object lying beyond the focus of a concave mirror. Solve the Equation. kastatic. Index Mirror concepts . Analyze the result for accuracy in terms of signs and magnitude. If the reflecting surface of the mirror is outside of the sphere then we call it convex mirror and if the reflecting surface of it is inside the sphere then we call it concave mirror. Spherical mirrors are classified as concave when the reflecting surface is curved inward and convex when the reflecting surface is curved outward. A concave mirror is curved mirror, where the surface of the concave mirror that reflects light is curved backwards. A mirror formula calculates the object’s distance from the mirror, the distance of image formed from mirrors, and any mirror’s focal length. The point on the mirror's surface where the principal axis meets the mirror is known as the vertex. In the figure shown above, an object A B is placed at a distance u from the pole of the concave mirror of small aperture, just beyond the center of curvature. May 10, 2024 · The mirror formula shows the relationship between the object distance, image distance, and the focal length of the spherical mirror. Aug 6, 2019 · Fermat’s Principle – Concave Mirror Use Fermat’s principle to determine the shape (equation) of a concave mirror in air that produces a perfect image of a distant (at infinity) point source a distance f to the left of the mirror vertex. Derive mirror formula when object is placed b/w Feb 9, 2025 · This mirror formula can be applied both on plane mirrors as well as spherical mirrors (both concave and convex mirrors). Jul 2, 2024 · 50 Most Important Numerical Of Mirror Formula Class10 from Basic level to Hard essential for Board exa. The following sign convention is used for measuring various distances in the ray diagrams of spherical mirrors: All distances are measured from the pole of the mirror. 00 m. Reflecting surfaces do not have to be flat. The focal length and power of a A mirror formula can be defined as the formula which gives the relationship between the distance of object ‘u’, the distance of image ‘v’, and the focal length of the mirror ‘f’. Oct 2, 2022 · Curved Mirrors. If a bus is located at 5. if real image is formed the graph between $$\dfrac{1}{u}$$ and $$\dfrac{1}{v}$$ is of the form. The notes and questions for Mirror Formula & Magnification have been prepared according to the Class 10 exam syllabus. The process of expanding something only in appearance, not in physical size is known as the Magnification. A ray of light BL after reflecting from the concave mirror passes through the principal axis at F and goes Jan 27, 2025 · 5. If distance of the object from the pole of the mirror is 8 cm, then use mirror formula to determine the position of the image formed. Feb 21, 2025 · 12. The convex mirror shown in Figure \(\PageIndex{3}\) also has a focal point. According to the mirror equation, if we know the placement of the object as well as the focal length, the mirror formula will help us to predict the place where the image will be formed. Let us take a convex mirror of a small aperture and let the object be placed somewhere between P and infinity. Concave mirrors have a special feature: they can focus light. Concave mirror. We tried to illustrate all properties of the image formed by a concave mirror using equations and ray diagrams for a deeper understanding. 4k points) ray optics Jul 7, 2020 · Learn what a concave mirror is, how it forms images, and its ray diagram. Calculation formula \(1/u + 1/v = 1/f\) u---object distance; v---image distance; f---focal length. [5 MARKS] Q. The focal length of a concave mirror can be found using the mirror formula. Using the mirror equation, calculate the radius of curvature and analyze the behavior of the ray. Mirror Formula helps us to find: a. Concave mirrors converge light rays, while convex mirrors diverge light rays. Information about Mirror Formula & Magnification covers topics like Magnification, Power of a Mirror, Convex Mirrors, Mirror Formula, Linear Convex Mirror. This represents Document Description: Mirror Formula & Magnification for Class 10 2025 is part of Science Class 10 preparation. There are a few different arrangements that are associated with concave mirrors. Let us take a convex mirror of small aperture and let the object be placed somewhere between P and infinity. Both the mirror equation and the magnification equation are true with convex mirrors. Unlike convex mirrors, the image formed by a concave mirror shows different image types depending on the distance between the object and the mirror. The diagram showing the focus, focal length, principal axis, centre of curvature,etc. an object is placed at a distance d1 from the focus and the image is formed at a distance d2 from the focus. Verify the Results. Explanation Calculation Example: The concave mirror equation is a fundamental formula in optics that relates the object distance, image distance, and focal length of a concave mirror. Mirror formula for a real image formed by a concave mirror is 1 v + 1 u = 1 f. Q5. 3 The Most General Applications of Bernoulli’s Equation; 12. To obtain the image, we make the ray diagram and we can take any two rays. As such, the characteristics of the images formed by convex Feb 17, 2021 · Mirror Formulas, Other thick Mirrors, problems. We are also asked to prove that the convex mirror produces a virtual image independent of the location of the object using the above derived 1. A concave mirror produces both real and virtual images, which can be upright or inverted. (c) Explain two Concave mirrors are also known as converging mirrors since the rays converge after falling on the concave mirror while, the convex mirrors are known as diverging mirrors as the rays diverge after falling on the convex mirror. In convex mirrors, the principal axis is the same as in a plane or concave mirror, perpendicular to the center of the mirror. It is composed of two variables: object distance (do) and image distance (di). The point in the center of the sphere is the center of curvature. Suppose an object is placed at the focus of the concave mirror. The mirror is concave (convergent). If we are aware of the location of the object and the mirror’s focal length, distance, 5 days ago · The mirror equation establishes a relation among object distance u, image distance v and focal length/for a spherical mirror. The mirror coating of the concave mirror is on the outside of the spherical surface. Where, f - Focal length, d i - Image distance, d 0 - Object Jul 1, 2020 · A girl uses a convex car wing mirror of focal length 2 m to look at a lorry which is actually 30 m from the mirror. Focus: Focus is the point in the midpoint between the centre of curvature and the Principle axis. Published on: December 16, 2024. Uses of concave and convex mirrors are also noted. 5 days ago · An object is placed in front of a concave mirror of focal length 12 cm. Although it was derived for a concave mirror, it also holds for convex mirrors (proving this is left as an exercise). The derivation of the mirror equation involves using the principles May 12, 2021 · The formula is applicable for both, plane mirrors as well as for spherical mirrors including convex and concave mirror both. 8C: Power of a Mirror is shared under a CC BY-NC 4. Feb 11, 2025 · Figure 2. b. : Solution: To calculate the magnification (M) of a concave mirror, we can use the mirror formula and the magnification Nov 9, 2016 · The radius r for a concave mirror is a negative quantity (going left from the surface), and this gives a positive focal length, implying convergence. We will use these relations to determine the power of the concave mirror. The images formed by these mirrors are always virtual, diminished, and erect. The sign rules for the concave mirror – Object distance (do) If the object is in the front of the mirror surface which reflects light, the Feb 17, 2025 · Mirrors with reflecting surfaces with an inner curvature are concave mirrors, while those with outward curvature are convex mirrors. Telescope: Uses concave mirrors to focus light from distant stars. They have a negative value of focal length in sign convention and can form both virtual and real images based on the position of the object. Convex Mirror is used in security monitors in ATMs, hospitals, hotels, schools etc. ; Makeup Mirrors: Magnify the image for better viewing. These mirrors which have the following properties are called convex mirrors. `∴ (A'B')/(NE) = (A'F)/(NF)` As the aperture of the concave mirror is small, the points N and P lie very close to each other. Aug 6, 2021 · Mirror Equation Derivation Teacher’s Guide Topic: Reflection and Mirrors The following information is provided to the student: Question: How can geometry, algebra and simple ray construction be used with a concave mirror in order to develop a relationship between the Mirror Formula Derivation: Uses of Convex Mirror: Uses of Concave Mirror: Total Internal Reflection: Refraction: Cartesian Sign Convention [Click Here for Previous Year Questions] Cartesian sign convention is a set of rules for sign Based on the sign rules of the convex mirror, this equation can be changed to the equation of the concave mirror, if the image distance (di) is given a negative sign because the beam of light does not pass the image and focal length (f) is also Concave Mirrors are used as reflectors and converging of light. The imaging of concave mirror is related to image distance, object distance and focal length Sign in for comments! Submit Comment list (0) Label: App Link： Concave mirror distance, object distance, focal length online calculator. Latest Informations. Convex Mirror. In ΔABC and ΔA 1 B 1 C. This equation is used to determine how far away an object is from the mirror (image distance) and how large or Students can find the Derivation of Mirror Formula on Vedantu where it is explained thoroughly by featuring Facts on Spherical Mirror, Derive Mirror Formula for Convex, Derive Mirror Formula for Concave Mirror, Derivation of Mirror Formula for Convex Lens, Proof of Mirror formula, Assumptions for the Derivation of Mirror Formula, and solved examples. In this case, the focal point is behind the mirror. Nov 21, 2023 · Concave Mirror Activity Lens Equation. Submit Search. Mirror Formula :- Below figure shows the ray diagram of image formation by concave mirror considering three rays. Image distance which is represented as ‘v’. Concave mirror is a curved surface with reflection covering external piece of the curve. The image is reversed. The mirror equation for a concave mirror and convex mirror is similar to each other and is represented as follows : 1/f = 1/u + 1/v where f is the focal length of the mirror, u is the distance of the object, and v represents the distance of the image. Formula used: In this solution we will be using the following formula, Mirror formula: $\dfrac{1}{v} + \dfrac{1}{u} = \dfrac{1}{f Oct 5, 2024 · A: A concave mirror curves inward, while a convex mirror curves outward. Usage example. 2 days ago · Simulation of image formation in concave and convex mirrors. Jul 6, 2021 · Definition of Concave Mirror. 3. e. The 3 days ago · How does a lens or mirror form an image? See how light rays are refracted by a lens or reflected by a mirror. 4k points) ray optics; Nov 18, 2024 · The mirror formula for a concave mirror relates the object distance (u), the image distance (v), and the focal length (f) of the mirror. We tend to use the mirror equation to deal with a concave mirror. Hence, the formula is given as, Problem 7: A concave mirror produces an image of size n times that of the object and of focal length f. c. 2. Jul 3, 2023 · Question 1 An object is placed at a distance of 10cm from a convex mirror of focal length 15cm. org are unblocked. It shows the image A′B′ (real in this case) of an object AB. An object is placed between a convex and a concave mirror. A spherical mirror is called a concave mirror if the center of the mirror is further from the viewer than the edges are. 1 - A convex mirror used for rear-view on an automobile has a radius of curvature of 3. kasandbox. 6. The mirror formula is given as: Assumptions which are made for the Derivation of the Mirror Formula: The following considerations are taken in order to get the mirror formula derived: Just like that of the concave mirror, this point is also called the focal point. Let’s learn about formula and magnification produced by spherical mirrors. Mar 4, 2025 · Mirror Formula . Object Distance Dec 16, 2024 · Understanding the Convex Mirror Formula: FAQs and Applications. Magnification Equation: The mirror equation applies to both concave and convex mirrors and is a fundamental concept for understanding how mirrors affect light to create images. The mirror formula is as follows: \(\frac{1} {v} + \frac{1} {u} = \frac{1} {f}\) Derivation of Mirror Formula for Concave Mirror. Plane mirrors are flat mirrors. Find the position and nature of the image? Question 2 A concave mirror produces three times magnified real image of an object placed at 10cm in front of it. Only if the mirror is concave 4 days ago · Consider an object AB placed in front of a concave mirror M beyond the centre of curvature C. (2) Any incident ray passing through the focal point on the way to the mirror will travel parallel to the principal axis upon reflection. A convex mirror is a spherical mirror characterized by its outward-curving reflective surface. To obtain this type of information it Assume a mirror to be of a shape which focuses all rays to a single point (which requires a paraboloid). The mirror equation relates the image and object distances to the focal distance and is valid only in the small-angle approximation (Equation \ref{sma}). Spherical mirrors are reflective surfaces shaped from a hollow sphere, made of glass or plastic. HyperPhysics***** Light and Vision : R Nave: Go Back: Mirror Geometry. Object-focus distance (l o) (l o) Image-focus distance (l i) (l i) Unless the mirror is concave and the object is placed between the vertex and the focus. (b) Obtain the mirror formula and write the expression for the linear magnification. The same result will always be obtained. A concave mirror produces a real image that is 5 cm tall when a 2 cm tall object is placed 10 cm Q9. . For a concave mirror. Draw a labelled ray diagram to justify your answer in this case. Nov 18, 2024 · Convex Mirror: Light diverges, appearing to come from a virtual focal point behind the mirror. g. This formula is derived using the principles of reflection and geometry. See the sign conventions, derivation, 5 days ago · The sign conventions for the given quantities in the mirror equation and magnification equations are as follows: f is + if the mirror is a concave mirror; f is - if the mirror is a convex Jan 24, 2025 · The formula is applicable to both plane and spherical mirrors, including convex and concave mirrors. The key parameters of concave mirrors are similar to those of a sphere, including the centre of curvature, the radius of curvature, the principal focus, and the focal length. `∴ (A'B')/(NE) = (A'F)/(NF)` As the aperture of the concave mirror is small, the 5 days ago · By using this mirror formula, we can find out the position and nature of the images formed by concave mirrors and convex mirrors. Concave mirrors can have real, inverted images or Mar 1, 2025 · Makeup mirrors and dental mirrors are concave mirrors. Apply mirror's focal length formula. Here, using the mirror equation and magnification formula for curved mirrors a number of problems on the concave mirror are solved which is helpful for the AP Physics 2 exam. An object AB is placed beyond the centre of curvature (C) of a concave mirror (We could, however, place the object at any other position also). Concave mirror or also called the converging mirror which have an inward bent surface. Spherical Mirror Formula Jan 21, 2025 · Concave mirrors are shaped like a parabola and curve towards the object. , a positive focal length for a convex lens, negative for a concave lens). The focal length of mirror (f) = r / 2 = 8 / 2 = 4 cm . 2 - An object, 4. Pole: The center point of any spherical mirror from where all measurements are made Aperture: An aperture of a mirror is an origin point of reflection of light A concave mirror is a type of mirror that is bent towards the inwards in the middle. To obtain this type of information it 5 days ago · Mirror Formula ` The above figure shows the ray diagram for image formation by a concave mirror. asked Jan 22, 2019 in Physics by kajalk (79. Concave mirrors reflect light inward to one focal point. Magnification Formula: M = -v/u. Concave Mirror. At what distance from the concave mirror should a plane mirror be set so that the rays Hint: In this solution, we will use the concepts of magnification and the mirror formula to determine the focal length of the mirror. Jan 4, 2025 · To find the object distance in a concave mirror, use the mirror formula. They form upright, enlarged images, and are therefore useful in makeup application or shaving. The focal length f of a concave mirror is given as a positive value. Concave Mirror Equation Formula : 1/f = 1/d 0 + 1/d i. The equation for these mirrors determines the position of the object and the The mirror formula gives the relationship between the distance of the object 'u,' the distance of the image 'v,' and the focal length of the mirror 'f'. To determine the image distance, simply plug in the values for the focal Mirror Formula ` The above figure shows the ray diagram for image formation by a concave mirror. They are converging in nature and generally produce magnified image. Thus, in the case of a real image, if we place a screen at that position, then we will get the image of the object on the screen; else, to capture the image, we need to move the screen at probable positions and check. . The inner surface of the mirror is reflective, and the outer surface is curved. This is shown in. Dec 24, 2024 · Real-world Examples Concave mirrors are used in many devices. The pole of the convex mirror coincides with the centre of curvature of the concave mirror. Most common mirrors, 5 days ago · Let AB be an object placed on the principal axis of a convex mirror of focal length f; u is the distance between the object and the mirror, and v is the distance between the image and mirror. What is a Concave Mirror and the Magnification Equation? Concave Mirror: A concave mirror is a curved mirror that is curved away from the light source. Verified by Toppr. Mar 15, The mirror formula relating object distance, image distance, and focal length is defined. A concave mirror of focal length 12 cm is used to produce both real and virtual images of the same object Sep 4, 2023 · There are two types of spherical mirrors for which the mirror formula is used. Reflectors, Converging of light, Solar cooker, motor Mirror Formula. They areObject is Placed at InfinityObject is Placed between Principal axis and InfinityCase 1 - Object is Mar 26, 2024 · Concave mirrors are used shaving mirrors and in car head lights. The image of the object, even if the object is infinitely far away, will appear as if it is 1/2 * R behind the mirror. 5 days ago · Unlike concave mirrors, convex mirrors always produce images that have these characteristics: (1) located behind the convex mirror (2) a virtual image (3) an upright image (4) reduced in size (i. Mirror Formula for Convex Mirror when Real Image is formed. A paraxial ray hits the mirror off-center. The equation we use when dealing with concave mirrors is called the mirror equation. Virtual, Erect, and Diminished Images: Regardless of the distance between the object and the convex mirror, the images formed are always Oct 3, 2023 · Mirror Equation Related Articles. Jul 8, 2019 · Derive mirror formula/Equation for real image formation by a concave mirror. The Before deriving the equation of the concave mirror, first read some sign rules for the concave mirror below. Where f is the focal length of the mirror, u the object Jul 8, 2019 · In a concave mirror. Images formed by a convex mirror is always virtual, upright, and smaller image. Read ahead to find out more about spherical mirrors and mirror 4 days ago · Mirrors, unlike lenses, are not transparent materials, but instead are polished surfaces that reflect incoming light rays. Mirror Equation . Using triangles 2 and 3, Mar 15, 2015 · Concave mirror - Download as a PDF or view online for free. This relation is \(\frac{1}{u}+\frac{1}{v}= \frac{1}{f}\) or \(\frac{1}{v}+\frac{1}{u}= \frac{1}{f}\) This formula is applicable to all concave and convex mirrors . Find the size, nature and position of image formed when an object of size 1 cm is placed at a distance of 15 cm from a concave mirror of focal length 10 cm. Q1. Consider the back side of a spoon. To derive the magnification formula in terms of the object distance and image distance, let us draw the ray-diagram by using two incident rays of light: (i) one incident ray that strikes at the pole (P) of concave mirror, and Jun 22, 2019 · The mirror formula for a concave mirror is 1/f = 1/V + 1/U. At what distance For a convex lens, the mirror formula is: 1/f = 1/v - 1/u. Was this answer helpful? 7. Focal length which is represented as ‘f’. Where: f: Focal length of the mirror. View Solution. The focal length and power of a convex mirror are negative, since it is a diverging mirror. Aug 10, 2022 · Convex and concave mirrors – important aspects. In concave mirrors, the centre of curvature and the reflecting surface fall on the same side of the mirror. The normal line of a concave mirror is the line that passes through the center of curvature, i. Calculate the magnification of a concave mirror if the image of an object formed in front of a concave mirror with a focal length of 12 cm is formed at a point 10 cm away from the mirror. Magnification by a spherical mirror: Jun 18, 2024 · Popularity: ⭐⭐⭐ Concave Mirror Equation This calculator provides the calculation of image distance and magnification for a concave mirror using the mirror equation. This distance between the mirror and the 5 days ago · We will now solve some numerical problems based on concave mirrors by using the mirror formula and the magnification formulae. You can read more about image formation in convex mirror. Introduction. From the geometry of ray diagrams, the two right-angled triangles Dec 16, 2024 · Example 10. Jul 7, 2020 · A concave mirror is a curved mirror that forms a part of a sphere and designed in such a way that rays of light falling on its shiny surface converge upon reflection. Wanted : The distance between the patient’s teeth and the mirror Solution : The mirror used is a concave mirror or a convex mirror? In order for the tooth hole to be clearly visible by the doctor, the mirror used should be able to enlarge the image of the tooth and the image must be upright. Always forms virtual, upright, and diminished images. Now, a parallel ray of light AD gets reflected from the mirror at point D and passes through the focus F. Since the focal point is on the opposite side of the mirror from the object, the focal length is assigned a negative number. Notice that the focal point of both the concave and convex mirrors are 1/2 * R away from the mirror. , smaller than the object) The location of the object does not affect the characteristics of the image. A convex mirror has a negative focal length because of this. Where is the image located? Question 3 What [] The formula which gives the relation between object distance (u), the image distance (v) and the focal length (f) of the mirror is known as mirror formula. 1. 5 days ago · An object is placed between the pole and the focus of a concave mirror. Derivation for mirror formula. Jun 30, 2024 · A concave mirror has a reflecting surface that bulges inward. Find out how to use the formula to calculate image distance and focal length from object distance. 0 cm in front of a concave mirror of focal length 15. To see how a concave mirror Focal Length of Concave Mirror formula is defined as a measure of the distance between the mirror's vertex and the focal point, which determines the mirror's ability to converge light rays, and is a critical parameter in the design and application of concave mirrors in optics and optical instruments and is represented as f concave = r concave /2 or Focal Length of Concave Mirror Now, that all these conventions are clear; let us know move on the mirror formula. Explanation of Mar 7, 2025 · If you're seeing this message, it means we're having trouble loading external resources on our website. 1/f = 1/do + 1/di f=focal length = radius of curvature / 2 ; do = distance object is from the mirror ; di Aug 25, 2020 · The Mirror Equation – Concave Mirrors . We call these types of mirrors also spherical mirrors because they are pieces of a sphere. Derive mirror formula when object is placed b/w (1) pole P and principal focus f in a concave mirror (2)in convex mirror. Rays that pass through this point will be reflected to that point as well. Using mirror formula, prove mathematically that it produces a virtual and an enlarged image. Distances measured in the direction of the incident ray are positive and the distances measured in the direction 4 days ago · Mirror Equation for a Concave Mirror. The mirror equation is suitable for both plane and spherical mirrors. Q: How can I use the mirror equation to determine the image distance? A: The mirror equation is v = (f * u) / (u - f). Move the tip of the Object arrow or the point labeled focus. The line passing through the center of the sphere and attaching to the mirror is known as the principal axis. org and *. 0 license and was authored, remixed, and/or curated by Jeremy Tatum via source content that was edited to the style and standards Image in a Concave Mirror. Similar Questions. A concave mirror produces an image 20 cm in front of it for an object placed at 30 cm. Where f is the focal length of the mirror, u the object The formula which gives the relation between object distance (u), the image distance (v) and the focal length (f) of the mirror is known as mirror formula. For the problem, assume that the mirror is exactly one-quarter of Convex Mirrors. Mastery of this formula is essential for solving problems involving convex mirrors. Related Topics, Plane Mirrors; Feb 5, 2025 · A concave mirror has a reflective surface that is curved inward and away from the light source. Also give the sign convention used. Learn the mirror equation for concave and convex mirrors, and how to use it to find image distance and focal length. It is used as a makeup and dentists mirror, headlights for a motor vehicle etc. Concave mirrors are also called converging mirrors because of the rays getting converged after falling on the concave mirror while the convex mirrors are called May 10, 2021 · There is another type of spherical mirror that is as important as concave mirrors. In addition, the object distance and object height are treated as negative and positive values, respectively. ∠ABC = ∠A 1 B 1 C (right angles) ∠ACB = ∠A 1 CB 1 (common angle) ∴ ∠CAB = ∠CA 1 B. we can derive the mirror equation, (1/d o)+(1/d i)=(1/f). asked Jan 22, 2019 in Physics by kajalk ( 79. A point luminous source P is placed on the principle axis of a concave mirror of radius of radius of curvature 1m at a distance of 75 cm from its pole. Concave Mirror with Diagram and Formula. Mirrors can be plane (flat) or spherical (curved). Jun 26, 2023 · Moreover, by looking in this mirror, we will feel that we are looking in a cave. Move the arrow to the right side of the mirror to get a convex mirror. The mirror is convex (divergent). The side of the spoon that holds the food is a concave mirror; the back of the spoon is a convex mirror. This page titled 2. In addition, on looking in this mirror, you will feel that you are looking in a cave. When light rays hit the reflective Jan 24, 2025 · The mirror equation is the quantitative link between object distance, image distance and focal length based on experimental data. Feb 21, 2025 · Some mirrors are curved instead of flat. Find out the position of an object from a convex mirror of The convex mirror shown in Figure \(\PageIndex{3}\) also has a focal point. If the image is real then find the distance of the object from the mirror. Besides, we use the mirror equation to deal with a concave mirror. 0 cm. In the formula below, ‘f’ is the focal length, ‘u’ is the object distance, and ‘v’ is the image distance. Solution Show Solution. The two types of spherical mirrors are convex mirror and concave mirror. 00 m from this mirror, find the position, nature and size of the image View Answer Example 10. Derivation of mirror formula for convex mirror. Example Problem 1. Before we do that, we will discuss the Mar 1, 2025 · Makeup mirrors and dental mirrors are concave mirrors. Mirror Equation: 1/f = 1/u + 1/v. The mirror has the approximate shape of a section of a cylinder. To obtain the image, we make the What is a Concave Mirror and the Magnification Equation? Concave Mirror: A concave mirror is a mirror that is curved away from the light source. The mirror coating of the convex mirror is on the inside of the spherical surface. The formula relates the object distance, image distance, and focal length of the mirror. Characteristics of images formed by concave and convex mirrors in different situations are explained. 4 Viscosity and Laminar Flow; Poiseuille’s Law; Concave mirrors are used to concentrate the sunlight onto the pipe. The magnification of concave mirror equation relates the ratio of the image height (hi) and the object height Jan 30, 2024 · The other name for a convex mirror is a diverging mirror. The focal point is the same distance from the mirror as in a concave mirror. The power of a mirror is the inverse of its focal length. Principle Axis(P): It is the imaginary line through the centre of curvature and midpoint of the reflecting surface(a’b’ or ab) of the mirror. Solution. Center of Curvature(C): It is the centre of that sphere from where the spherical mirror is taken. Learn the definition, derivation, sign convention, and practice problems of mirror formula for concave and convex mirrors. The "Mirror Formula" is a mathematical expression of how light rays are reflected off of a curved mirror. Object distance which is represented as ‘u’. Calculate:-(a) the position of the image (b) the magnification of the image (a) Using Newton’s formula F = xy with x = 32 m (remember that for a convex mirror the focal length is negative. Hence, it is also called a converging mirror. Unlike concave mirrors, convex mirrors cause light rays to diverge from a specific focal point. Concave mirrors are used in a number of applications. Q10. New cartesian sign convention; Mirror formula; Solving problems using the mirror formula; Introduction. According to this convention, the pole of a spherical mirror is taken as the origin Mar 7, 2025 · 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. Chapter 5: SPHERICAL MIRRORS: A spherical reflecting surface has image-forming properties similar to those of a thin lens or of a single refracting surface. Open in App. Mirror formula for a virtual Concave Mirror Magnification Calculator. v: Image distance from the mirror. The purpose of this lesson is to summarize these object-image relationships - to practice the L•O•S•T art of image description. A spherical mirror is called a convex mirror if the center of the mirror is closer to the viewer than the edges are. It is Sep 12, 2022 · Key Concepts. The formula is given by: f 1 = v 1 + u 1 . In this equation, f is the In the question, we are asked to derive the mirror equation for the case of a convex mirror. The convex mirror formula is a fundamental concept in optics, relating object distance (u), image distance (v), and focal length (f). The Variables in the Mirror Formula Derivation: Object and Image Distances. Observe how the image changes when you adjust the focal length of the lens, move the object, or move the Aug 25, 2020 · The Mirror Equation – Convex Mirrors . at point R or 2F. Here are some examples. Perform calculations carefully to avoid arithmetic errors. When dealing with the reflection of light by spherical mirrors mathematically, a set of sign conventions is followed, called the New Cartesian Sign Convention. We wish to describe the characteristics of the image for any given object location. 2 Bernoulli’s Equation; 12. A concave mirror is curved inward on its inner reflecting surface and thus, you will see that it resembles the inside of a cave. In a concave mirror. The geometry that leads to the mirror equation is dependent upon the small angle approximation, so if 5 days ago · A concave mirror can be thought of as a slice of a sphere. The lens equation applies to the concave mirror. Convex mirrors are the spherical mirrors in which inward surfaces are painted while concave mirrors are the spherical mirrors in which the outward surfaces are painted. Each one produces a different sort of image. It is also used as side-view mirrors in cars. Find out the mirror equation and its applications in physics and daily life. Rearrange the equation to isolate the unknown quantity. Do you know why? Mirror Formula. Magnification (G G) Image height (h i h i) The image is straight. `1/f = 1/u + Mar 8, 2025 · To derive the mirror formula, we will use the ray-diagram given as shown. ; Each of these applications relies on the principles explained by ray diagrams. Unlike convex mirrors, Concave mirrors reflect light inward to one focal point. u: Object distance from the mirror. 5 days ago · Mirror Formula ` The above figure shows the ray diagram for image formation by a concave mirror. The mirror formula is represented by the following equation: 1 f = 1 v + 1 u. ; Headlights: Reflect light to focus it on the road ahead. The mirror formula or mirror equation gives the relation between the object and the image with the focal length. The Mirror formula represents the relationship between the distance of the object (u), the distance of the image (v), and the focal length (f) of a Spherical Mirror. The figure shows two rays emerging from the object. 7 (a) Rays reflected by a convex spherical mirror: Incident rays of light parallel to the optical axis are reflected from a convex spherical mirror and seem to originate from a well-defined focal point at focal distance f on the Mirror Formula for Convex Mirror. Mar 20, 2020 · Mirror formula: It is a mathematical relation between the object distance is image distance ‘v’ and focal length ‘f of a spherical mirrors. Convex Mirror are spherical mirrors whose reflecting surface is curved out or bulge out. Parallel rays of light reflected from the mirror seem to originate from the point F at the focal distance \(f\) behind the mirror. Here are some real-world examples: . An object AB is considered on the principal axis of a concave mirror beyond the center of curvature C’. ∴ ΔABC is similar to Light rays that come to the mirror parallel to the principal axis reflect as if they came from the focal point. Q2. While ray diagrams can be used to determine the image location, size, orientation and type of the image formed by objects when placed at a given location in front of a concave mirror, they will not provide numerical information about the image distance and size. Again the reader should try this for other situations, such a concave mirror, or a real image, and so on. They are classified into two types: concave mirrors, which curve inward like the inside of a sphere, and convex mirrors, which curve outward, resembling the outer surface. The most common curved mirrors are spherical. Pick up a well-polished metal spoon and you can see an example of each type of curvature. Midway between the vertex and the A spherical mirror is a mirror that has the shape of a piece cut out of a spherical surface. The distance between points F and P is Nov 26, 2024 · As a result, the focal length of a concave mirror equation is negative, while the focal length of a convex mirror equation is positive. These rays, after reflection, form an image A’B’. Mirror Equation Derivation. A convex mirror never forms a real image of a real object. This is the mirror formula for a concave mirror. Unlike convex mirrors, the image formed by a concave mirror shows different image types Nov 7, 2024 · Solved Examples of Mirror Formula. If you're behind a web filter, please make sure that the domains *. Convex and Concave Mirrors; Reflection of Light; Image Formation by Spherical Mirrors; Solved Examples on Mirror Equation. A mirror that curves inward is called a concave mirror, whereas one that curves outward is called a convex mirror. In the above figure only three rays emanating from the point A are shown but actually an infinite number of rays emanate from any source, in all Derive mirror formula for a concave mirror when image formed is (i) real (ii) virtual. Check if the result is physically meaningful (e. Jan 25, 2023 · Mirror equations and formulas help us to predict the position where the image will be formed if we know the object position and the focal length of the mirror. Let Concave mirrors form both real and virtual images. dkhrav mcn tajzl eqio tleej btqymh eovylhg mwtz kep lwhijdm xsrpz odofon cohpc trhma xsuved