Question

An object is $30cm$in front of a convex mirror with a focal length of $-20cm$. Use ray tracing to locate the image. Is the image upright or inverted?

Short answer

The picture is $12cm$behind the mirror, upright, and at a distance of $12cm.$

Step-by-step solution

Step: 1 Principles:

Ray $1$is reflected away from the focus point and is drawn parallel to the optical axis.

Ray $2$is attracted to the rear side of the mirror's focus point and reflected parallel to the optical axis.

Ray $3$passes through the mirror's centre and reflects at an angle of similar magnitude on the opposite side of the optical axis.

Step: 2 Datas:

The mirror is convex mirror.

The distance object to mirror is $s=30cm.$

Focal length is $f=-20cm.$

Step: 3 Tracing:

The ray-tracing diagram is shown in Figure. A scale is placed on the optical axis. The focal point of the mirror is drawn and noted. With its base on the optical axis, the item is represented as an arrow. The three specific rays specified in the Concepts and Principles section are drawn from the tip of the arrow. The image's tip is the spot where the three rays converge.