Question

If an object is 22.23 cm in front of a convex mirror that has a focal length of 86.19 cm, how far behind the mirror will the image appear to an observer ?

Answer 1

Given:

The object distance from the convex mirror is u = - 22.23 cm

The focal length of the mirror is f = 86.19 cm

Required:

To calculate image distance.

Step-by-step explanation:

The image distance can be calculated by the mirror formula

`\begin{gathered} (1)/(v)+(1)/(u)=(1)/(f) \\ (1)/(v)=(1)/(f)-(1)/(u) \end{gathered}`

On substituting the values, the image distance will be

`\begin{gathered} (1)/(v)=(1)/(86.19)-(1)/((-22.23)) \\ =(1)/(86.19)+(1)/(22.23) \\ v=17.67\text{ cm } \end{gathered}`

Final Answer: The image distance is 17.67 cm behind the mirror.