Discussion
Visibility is inversely proportional to the extinction coefficient. If fine particulate doubles and extinction doubles with it, visibility falls to
Answer: D
Correct answer: Half its previous value
Visibility varies inversely with the extinction coefficient, so doubling the extinction halves the visual range:
\[ V \propto \frac{1}{b_{ext}} \quad \Rightarrow \quad \frac{V_2}{V_1} = \frac{1}{2} \]
The relation is the Koschmieder formula, with the visual range roughly \( 3.9/b_{ext} \). Its practical consequence is that visibility responds proportionally to fine particulate, which is why haze is a reasonable qualitative indicator of PM2.5 and why visibility records have been used to reconstruct historical particulate trends.
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