An Erect Image 3 Times the Size of the Object With a Concave Mirror of radius of curvature 36cm. What is the position of the object?– Full Guide

In physics, the condition for an erect image 3 times the size of the object with a concave mirror tells us about the object’s position relative to the mirror. In this guide, you’ll learn how this happens and where the object should be placed when the radius of curvature is 36 cm.

Understanding Image Formation by a Concave Mirror

A concave mirror can produce both real and virtual images depending on where the object is placed. When an image is erect and larger than the object, it means the image is virtual and located behind the mirror. For an erect image 3 times the object size, the object must be between the focal point and the mirror.

Finding the Object Position for an Erect 3× Image

The radius of curvature (R) is 36 cm, so the focal length (f) is half of that: 18 cm.
When the image is erect and magnified 3 times, the object must be located closer than the focal point. This is a characteristic of a virtual image formation from a concave mirror.

Mirror Focus (f): 18 cm
Type of Image: Virtual & erect
Magnification: +3 (image is 3× the object)
Position of Object: Between the pole (mirror surface) and focus

Note:
In a concave mirror, a magnified erect image is always virtual and formed only when the object is located between the focal point and the mirror surface.

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