Chapter 17, Problem 51A

To determine

The method of obtaining mirror’s magnification if the image and object position are known relative to the curved mirror.

Explanation of Solution

Introduction:

The ratio of the image size to the object size is termed as mirror’s magnification.

Magnification of a mirror can also be written in terms of image position and object position relative to the curved mirror as,

  $\frac{h_i}{h_o}=-\frac{d_i}{d_o}$

Where,

  $\begin{array}{l}{h}_i=\text{image height}\\ h_o=\text{object height}\\ d_i=\text{ image distance}\\ d_o=\text{object distance}\end{array}$

Conclusion:

Therefore, the magnification of a mirror can be determined using image’s size and object’s size, or by using the image position and object position relative to the curved mirror.