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.
Explanation:
The image distance can be calculated by the mirror formula
[tex]\begin{gathered} \frac{1}{v}+\frac{1}{u}=\frac{1}{f} \\ \frac{1}{v}=\frac{1}{f}-\frac{1}{u} \end{gathered}[/tex]On substituting the values, the image distance will be
[tex]\begin{gathered} \frac{1}{v}=\frac{1}{86.19}-\frac{1}{(-22.23)} \\ =\frac{1}{86.19}+\frac{1}{22.23} \\ v=17.67\text{ cm } \end{gathered}[/tex]Final Answer: The image distance is 17.67 cm behind the mirror.
