When a vertical beam of light passes through a transparent medium, the rate at which its intensity I decreases is proportional to (t), where t represents the thickness of the medium (in feet). In clear seawater, the intensity 3 feet below the surface is 25% of the initial intensity To of the incident beam. What is the intensity of the beam 10 feet below the surface? (Give your answer in terms of Io. Round any constants or coefficients to five decimal places.)

Advanced Engineering Mathematics
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ISBN:9780470458365
Author:Erwin Kreyszig
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When a vertical beam of light passes through a transparent medium, the rate at which its intensity I decreases is proportional to I(t), where t represents the thickness of the medium (in feet). In clear seawater, the intensity 3 feet below the surface is 25% of the initial intensity Io of the incident beam. What is the intensity of
the beam 10 feet below the surface? (Give your answer in terms of Io. Round any constants or coefficients to five decimal places.)
Transcribed Image Text:When a vertical beam of light passes through a transparent medium, the rate at which its intensity I decreases is proportional to I(t), where t represents the thickness of the medium (in feet). In clear seawater, the intensity 3 feet below the surface is 25% of the initial intensity Io of the incident beam. What is the intensity of the beam 10 feet below the surface? (Give your answer in terms of Io. Round any constants or coefficients to five decimal places.)
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