Chapter 17, Problem 5STP

To determine

To Choose: The correct option.

Answer to Problem 5STP

C. $2.0,\text{inverted}$

Explanation of Solution

Given:

The distance of the cup from the mirror, $d_o=17\text{cm}$

The distance of the image from the mirror, $d_i=34\text{cm}$

Formula used:

Magnification, $m=\frac{h_i}{h_o}=-\frac{d_i}{d_o}$

Where,

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

Calculation:

Using the above formula, the magnification of the cup will be,

  $\begin{array}{c}m=-\frac{d_i}{d_o}\\ =-\frac{34}{17}\\ =-2\end{array}$

Negative sign denotes that the image is inverted.

Conclusion:

Hence, the magnification and orientation of the image is $2$ and inverted, respectively.