Chapter 17, Problem 59A

To determine

The magnification of the image.

Answer to Problem 59A

  $m=\frac{1}{2}$

Explanation of Solution

Given:

Object distance, $u=-18\text{cm}$ (in front of the mirror)

Image distance, $v=9\text{cm}$ (Behind the mirror)

Formula used:

Magnification of image is given by:

  $m=-\frac{v}{u}$

Here, v is the image distance and uis the object distance.

Calculations:

Substitute the values:

  $\begin{array}{c}m=-\frac{v}{u}\\ =-\frac{9}{\left(-18\right)}\\ =\frac{1}{2}\end{array}$

Conclusion:

Thus, the image is diminished to half of the original size.