How do you draw a ray diagram for a convex mirror, and what are the characteristics of the image formed?

Draw a ray from the top of the object parallel to the principal axis, extending towards the mirror. When this ray hits the mirror, it reflects outwards. The reflected ray appears to come from the focal point (F) behind the mirror. Draw a dotted line from F to the point where the incident ray hit the mirror, and then extend this line as a solid reflected ray outwards from the mirror.

Draw a ray from the top of the object directed towards the focal point (F) behind the mirror. Stop this ray when it hits the mirror. When this ray hits the mirror, it reflects parallel to the principal axis. Draw this reflected ray as a solid line parallel to the principal axis.

Extend the reflected rays behind the mirror using dotted lines. The point where these two dotted lines intersect is the location of the image. For a convex mirror, the image will always be virtual, upright, and diminished (smaller than the object), located between the focal point (F) and the mirror.

Here's a description of the final diagram:

• The object is an upright arrow to the left of the convex mirror.
• Ray 1: Incident ray parallel to the principal axis, reflects as if coming from F (behind the mirror).
• Ray 2: Incident ray directed towards F (behind the mirror), reflects parallel to the principal axis.
• The intersection of the extended reflected rays (dotted lines) behind the mirror forms an upright, virtual, and diminished image between F and the mirror.

The final diagram will show an image that is:

• Virtual (formed by the apparent intersection of reflected rays, behind the mirror).
• Upright (oriented in the same direction as the object).
• Diminished (smaller than the object).
• Located between F and the mirror.