Chapter 25, Problem 17P

To determine

How far apart are these barely resolvable objects?

Answer to Problem 17P

Solution:

Two points sources separated by a distance $50\mu \text{m}$

Explanation of Solution

Given info:

Diameter, $D=2\text{cm}$

Distance of object from eye, $d=25\text{cm}$

Formula used:

Considering two points sources separated by a distance R in front of eye.

Using the properties of similar triangle in given figure,

$R/d=s/D$

Here, $R\text{ and }s$ are base of triangle

Calculation:

From figure,

$\begin{array}{l}R/25cm=4\times {10}^{-}{}^4\text{cm}/2\text{cm}\\ R=50\times {10}^{-4}\text{cm}\\ R=50\mu \text{m}\end{array}$