The position of 1 cm tall object which is placed 8 cm infront of a concave mirror of radius of

step 1 Hello and welcome to this video solution of numerate. So you have to tell the position of one ce

The position of 1 cm tall object which is placed 8 cm...

The position of $1 \mathrm{~cm}$ tall object which is placed $8 \mathrm{~cm}$ infront of a concave mirror of radius of curvature $24 \mathrm{~cm}$ is:
(a) $24 \mathrm{~cm}$
(b) $25 \mathrm{~cm}$
(c) $26 \mathrm{~cm}$
(d) $27 \mathrm{~cm}$

Key Concepts

Mirror Equation

The mirror equation relates the object distance, image distance, and focal length of a mirror. It is expressed as 1/f = 1/do + 1/di, where f is the focal length, do is the object distance, and di is the image distance. This equation is essential in determining the position and characteristics of the image formed by a mirror.

Focal Length and Radius of Curvature

For spherical mirrors, the focal length is directly related to the radius of curvature by the formula f = R/2, where R is the radius of curvature. This relationship simplifies the analysis of mirror systems by immediately providing the focal length once the radius is known.

Sign Conventions in Mirror Optics

Sign conventions are critical when applying the mirror equation, as they determine the positive and negative values for object and image distances, as well as the focal length. In the case of concave mirrors, typically a positive focal length is used, and distances are measured from the mirror's vertex. Adhering to these conventions ensures the correct interpretation of whether an image is real or virtual.

Image Formation by Concave Mirrors

Concave mirrors can form either real or virtual images depending on the object's position relative to the focal point. When the object is placed within, at, or beyond the center of curvature, the mirror forms images with different properties such as magnification, inversion, and position. Understanding these behaviors is crucial for solving problems involving concave mirrors.

Transcript

Please give Ace some feedback