The linear or transverse magnification is defined as the ratio of the size of the image to that of the object. Subtended angles are related to the linear size by non-linear trigonometric functions and depend on the distance from image to eye. Answer: Q1. a. The required linear magnification is the ratio of the desired image diameter to the diamond’s actual diameter (Equation \ref{eq15}). For each lens, treat the image of the previous lens as its object and use the lens equation and magnification equation to find your answers. a) Magnification = $\frac{length of drawing}{length of object}$ b) Staining is … The linear magnification or magnification of a spherical mirror may be defined as the ratio of the size (height) of the image to the size (height) of the object. Linear magnification is the ratio of the size of object and image. Zacharias Jansen and his father combined lenses from simple magnifying glasses to build microscopes and, from there, microscopes and telescopes changed the world. a) What is the formula for calculating linear magnification of a specimen when using a hand lens b) Give a reason why staining is necessary when preparing specimens for observation under the microscope. and the thin-lens equation. Keep in mind that subsequent lenses can continue to invert your image. Solution. The magnification of a mirror is represented by the letter m. Thus m = Or m = where, h 2 = size of image h 1 = size of object. As the object is always placed above the principal axis so the magnitude of h 1 is always positive. Using lens formula the equation for magnification can also be obtained as . Waves And Optics - Lenses Lens Formula: Magnification Linear Magnification (m) = height of image height of object OR = Image distance Object distance Example: A building is 6m high, and it is 80m from a converging camera lens. What is the formula for calculating linear magnification of a specimen when using a hand lens . Understanding the focal length of lenses was crucial to combining their powers. The linear magnification produced by a spherical lens (convex or concave) is defined as the ratio of the height of the image (h′) to the height of the object (h). Because the jeweler holds the magnifying lens close to his eye, we can use Equation \ref{eq13} to find the focal length of the magnifying lens. It is denoted by the letter ‘m’ and is given by, Angular magnification is the ratio of the angle subtended by object and image. It is a pure ratio and has no units. m = h 2 /h 1 = v//u = (f-v)/f = f/(f+u) This equation is valid for both convex and concave lenses and for real and virtual images. But how can I prove the equation mathematically? Before the 1590s, simple lenses dating back as far as the Romans and Vikings allowed limited magnification and simple eyeglasses. If the camera forms an image which is 6mm high, (a) What is the magnification; (b) How far must the camera film be behind the lens for the image to be formed. Answers . The required linear magnification is the ratio of the desired image diameter to the diamond’s actual diameter ().