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 I, of the incident beam. IP kl. Find the constant of proportionality k, where dt -0.4621t k = What is the intensity of the beam 16 feet below the surface? (Give your answer in terms of I. Round any constants or coefficients to five decimal places.) 0.615

College Physics
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Chapter1: Units, Trigonometry. And Vectors
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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 I, of the incident beam.
IP
kI.
Find the constant of proportionality k, where
dt
-0.4621t
k =
What is the intensity of the beam 16 feet below the surface? (Give your answer in terms of I. Round any constants or coefficients to five decimal places.)
0.615
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 I, of the incident beam. IP kI. Find the constant of proportionality k, where dt -0.4621t k = What is the intensity of the beam 16 feet below the surface? (Give your answer in terms of I. Round any constants or coefficients to five decimal places.) 0.615
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