The convex lens formula and convex mirror formula are both mathematical equations used to calculate the properties of curved surfaces. The main difference between the two is that the convex lens formula is used for convex lenses, which converge light rays, while the convex mirror formula is used for convex mirrors, which diverge light rays.
Both formulas use the same variables: object distance (u), image distance (v), and focal length (f). They also both follow the same sign convention, where distances are measured from the pole of the lens or mirror and are positive when measured in the direction of the incident light.
The focal length of a convex lens is positive, indicating that the light converges at a specific point called the focal point. In contrast, the focal length of a convex mirror is negative, indicating that the light appears to diverge from a virtual focal point behind the mirror.
The image formed by a convex lens can be either real or virtual, depending on the location of the object. A real image is formed when the object is placed beyond the focal point, and the image is inverted. A virtual image is formed when the object is placed within the focal point, and the image is upright. In contrast, the image formed by a convex mirror is always virtual, upright, and smaller than the object.
The convex lens formula is used in various optical devices, such as cameras, telescopes, and eyeglasses. The convex mirror formula is used in applications where a wider field of view is required, such as security mirrors and rearview mirrors in vehicles.