Practice Problems on Mirror Equation

Problem 1: An object is placed 15 cm in front of a concave mirror with a focal length of 10 cm. Determine the image distance and state whether the image is real or virtual.

Problem 2: A convex mirror has a focal length of -20 cm. If an object is placed 30 cm in front of the mirror, find the image distance and describe the nature of the image.

Problem 3: A concave mirror has a radius of curvature of 30 cm. Calculate the focal length of the mirror and determine the image distance when an object is placed 20 cm in front of it.

Problem 4: An object is positioned 12 cm in front of a concave mirror with a focal length of 8 cm. Calculate the magnification of the image.

Problem 5: A concave mirror has a radius of curvature of 40 cm. If an object is placed at a distance of 60 cm from the mirror, determine the image distance and whether the image is magnified or diminished.

Problem 6: A convex mirror has a focal length of 30 cm. If an object is positioned 40 cm in front of the mirror, calculate the image distance and describe the characteristics of the image.

Mirror Equation

Mirror Equation in Physics is the equation for mirrors that provides the relation between the distance of the object and the image, as well as its focal length. Mirror Equation is helpful in determining object position, image position or focal length given that two of the parameters are given. In optics, which is the branch of science that deals with the study of light and its interactions with various materials and optical elements, mirrors are used in various instruments for various purposes. Thus, understanding the relationship between the focal length of the mirror and the distance between the object and the image from the mirror is very important.

In this article, we will explore the concept of the Mirror Equation in detail, Mirror Equation Proof, and Mirror Equation for Magnification with various types of mirrors as well. So, let’s start learning about the concept of Mirror Equations.

Table of Content

  • What is Mirror in Optics?
  • What is Mirror Equation?
  • Sign Convention for Mirror Equation
  • Types of Mirrors
  • Applications Of Mirror Equation

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What is Mirror in Optics?

In optics, a mirror is an optical device which reflects the light and allows us to see objects by redirecting the light that strikes it. Mirrors have a smooth, highly reflective surface, typically made of glass with a thin metallic coating on the backside. The most common type of mirror is the flat or plane mirror, but there are also curved mirrors with different shapes and properties, such as concave and convex mirrors, which we will discuss further in the article....

What is Mirror Equation?

Mirror Equation is a formula that provides the relationship between the focal length, image distance, and object distance of any spherical mirror. The Mirror Equation is based on the principles of reflection and is given by...

Sign Convention for Mirror Equation

A new Cartesian symbol scheme is used to avoid confusion in the understanding of ray directions. Look at the picture for a better view....

Types of Mirrors

There are generally three types of mirrors in optics:...

Applications Of Mirror Equation

The mirror equation is used in various practical applications in real life. Here are some applications of the mirror equation:...

Solved Examples on Mirror Equation

1. Find out the position of an object from a convex mirror of the focal length of 6 cm, which produces an image on the mirror axis at 3 cm from the mirror....

Practice Problems on Mirror Equation

Problem 1: An object is placed 15 cm in front of a concave mirror with a focal length of 10 cm. Determine the image distance and state whether the image is real or virtual....

Mirror Equation – FAQs

1. What are Mirrors?...