Thickness of the ozone layer The thickness of the ozone layer can be estimated using the formula In I, - In I = kx sec 0, where Io is the intensity of a particular wavelength of light from the sun before it reaches the atmosphere, I is the in- tensity 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 0 is the acute angle that the sunlight makes with the vertical. Suppose that for a wave- length of 3055 x 10-8 centimeter with k 1.88, Io/I is measured as 1.72 and 0 = 12°. Approximate the thickness of the ozone layer to the nearest 0.01 centimeter.

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Thickness of the ozone layer The thickness of the ozone
layer can be estimated using the formula
In I, - In I = kx sec 0,
where Io is the intensity of a particular wavelength of light
from the sun before it reaches the atmosphere, I is the in-
tensity 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 0 is the acute angle that the
sunlight makes with the vertical. Suppose that for a wave-
length of 3055 x 10-8 centimeter with k 1.88, Io/I is
measured as 1.72 and 0 = 12°. Approximate the thickness
of the ozone layer to the nearest 0.01 centimeter.
Transcribed Image Text:Thickness of the ozone layer The thickness of the ozone layer can be estimated using the formula In I, - In I = kx sec 0, where Io is the intensity of a particular wavelength of light from the sun before it reaches the atmosphere, I is the in- tensity 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 0 is the acute angle that the sunlight makes with the vertical. Suppose that for a wave- length of 3055 x 10-8 centimeter with k 1.88, Io/I is measured as 1.72 and 0 = 12°. Approximate the thickness of the ozone layer to the nearest 0.01 centimeter.
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