The Thickness of the Ozone Layer Can Be Estimated Using $\ln I _ { 0 } - \ln I = k x \sec \theta$

question 7

Multiple Choice

The thickness of the ozone layer can be estimated using the formula $\ln I _ { 0 } - \ln I = k x \sec \theta$ where I ₀ is the intensity of a particular wavelength of light from the sun before it reaches the atmosphere, I is the intensity of the same wavelength after passing through a layer of ozone x centimeters thick, k is the absorption constant of ozone for that wavelength, and $6$ is the acute angle that the sunlight makes with the vertical. Suppose that for a wavelength of 3,055 $x$ 10 ^{- 8} centimeter with k $$\mathbb { N }$$ 1.93, I _o /I is measured as 1.72 and $\theta = 12 ^ { \circ }$ . Approximate the thickness of the ozone layer to the nearest 0.01 centimeter.

• A) \(x = 0.27\) cm
• B) \(x = 0.51\) cm
• C) \(x = 0.26\) cm
• D) \(x = 0.29\) cm
• E) \(x = 0.30\) cm

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Definitions:

Local Air Pollution

Contamination of the air within a specific area or region, primarily due to human activities, that can harm human health and the environment.

Deforestation

The large-scale removal of forest areas through cutting or burning, often to clear land for agriculture or development.

Fossil Fuel Burning

The combustion of coal, oil, gas, or other fossil fuels to produce energy, resulting in the emission of greenhouse gases and other pollutants.

Industrial Revolution

A period of major industrialization from the late 1700s to the early 1800s that transformed largely agrarian societies into industrialized ones.