Chapter 23, Problem 73GP

To determine

The distance of each image from the person through big mirror.

Answer to Problem 73GP

Solution:

The image distance from person to person’s image through big mirror will be

$x=2.0\text{m}$= 1.0 m + 1.0 m = 2.0 m

The image distance from person to small mirror image through big mirror will be

$y=2.5\text{m}$

Explanation of Solution

Given Info:

The distance between small mirror and person ‘d’ = 0.50 m

The distance between large mirror and person ‘D’ = 1.0 m

Formula Used:

The characteristic property of plane mirror is given as

The image is always formed at the same distance as of the object distance.

Calculation:

The image distance from person to person’s image through big mirror will be

$\begin{array}{l}x=D+D\\ x=1.0\text{m+1}\text{.0}\text{m}\\ x=2.0\text{m}\end{array}$= 1.0 m + 1.0 m = 2.0 m

The image distance from person to small mirror’s image through big mirror will be

$\begin{array}{l}y=D+D+d\\ y=1.0\text{m+1}\text{.0 m+0}\text{.5}\text{m}\\ y=2.\text{5}\text{m}\end{array}$