The thickness of the ozone layer can be estimated using the formula $\ln I _ { 0 } - \ln I = k x \sec \theta$ where I₀ 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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The Answer of The thickness of the ozone layer can be estimated using the formula $\ln I _ { 0 } - \ln I = k x \sec \theta$ where I₀ 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

The Thickness of the Ozone Layer Can Be Estimated Using ln⁡I0−ln⁡I=kxsec⁡θ\ln I _ { 0 } - \ln I = k x \sec \thetalnI0​−lnI=kxsecθ

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