Question

If an object is 15.31 cm in front of a convex mirror that has a focal length of 58.25 cm, how far behind the mirror will the image appear to an observer ?

Answer 1

12.12 cm

Step-by-step explanation

Given:

• The mirror is convex

,

• The object distance, u = -15.31 cm

,

• The focal length, f = +58.25 cm

Find:

• The image distance, v

Using the mirror equation,

`(1)/(f)=(1)/(u)+(1)/(v)`

And solving for v we have,

`v=(1)/((1)/(f)-(1)/(u))=(1)/((1)/(58.25)-(1)/(-15.31))\approx12.12cm`

Hence, the image will appear 12.12 cm behind the mirror.