UV radiation

The glass of 1 mm thickness absorbs 5.3% of UV radiation passing through. How many percent of UV rays absorb glass with a thickness of 2.3 cm, made from 1 mm thick those glasses?

Correct answer:

x =  71.4208 %

Step-by-step explanation:

$$\begin{gathered} q=100\%-5.3\%=1-\frac{5.3}{100}=0.947 \\ {h}_1=1\text{mm}\to \text{cm}=1:10\text{cm}=0.1\text{cm} \\ n=2.3/h_1=2.3/0.1=23 \\ r=1-q^n=1-0.947^{23}\doteq 0.7142 \\ x=100\cdot r=100\cdot 0.7142=71.4208\% \end{gathered}$$

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