Question:

We wish to obtain an erect image of an object, using a concave mirror of focal length 15 cm. What should be the range of distance of the object from the mirror? What is the nature of the image? Is the image larger or smaller than the object? Draw a ray diagram to show the image formation in this case.

Updated On: Nov 18, 2023
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Solution and Explanation

Range of object distance = \(0\ cm\) to \(15\ cm\)
A concave mirror gives an erect image when an object is placed between its pole (P) and the principal focus (F). 
Hence, to obtain an erect image of an object from a concave mirror of focal length 15 cm, the object must be placed anywhere between the pole and the focus. The image formed will be virtual, erect, and magnified in nature, as shown in the given figure.
image with virtual, erect, and magnified in nature

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Concepts Used:

Spherical Mirrors

A spherical mirror is a mirror which has been cut out of a spherical surface. 

There are two kinds of spherical mirrors:

  1. Convex Mirror
  2. Concave Mirror
Spherical Mirrors
Spherical Mirrors

 

 

 

 

 

 

 

 

 

Concave Mirror

Concave mirrors are also called converging mirrors, because in these types of mirrors, light rays converge at a point after impact and reflect back from the reflective surface of the mirror.

Convex Mirror

The convex mirror has a reflective surface that is curved outward. Regardless of the distance between the subject and the mirrors, these mirrors are "always" virtual, upright and reduced.