Chapter A.5, Problem 43AYU

To determine

To find: Evaluate the rational expression.

Answer to Problem 43AYU

$\frac{2}{15}$

Explanation of Solution

Given:

The Lensmaker’s Equation,

$\frac{1}{f}=\left(n-1\right)\left[\frac{1}{R_1}+\frac{1}{R_2}\right]$

$n=1.5$

$R_1=0.1$

$R_2=0.2$

Calculation:

$\frac{1}{f}=\left(n-1\right)\left[\frac{1}{R_1}+\frac{1}{R_2}\right]$

$f=\frac{R_1.R_2}{\left(n-1\right)\left(R_1+R_2\right)}$

$f=\frac{\left(0.1\right)\left(0.2\right)}{\left(1.5-1\right)\left(0.1+0.2\right)}=\frac{\left(0.1\right)\left(0.2\right)}{\left(1.5-1\right)\left(0.1+0.2\right)}=\frac{2}{15}$