When light strikes the surface of a medium such as water or glass, its intensity decreases with depth. The Beer-Lambert-Bouguer law states that the percentage of decrease is the same for each additional unit of depth. In a certain lake, intensity decreases about 85% for each additional meter of depth. (a) Use a formula to express intensity I as an exponential function of d. (Use I0 to denote the initial intensity.) I(d) = b)) At what depth will the intensity of light be one-tenth of the intensity of light striking the surface? (Round your answer to two decimal places.)
When light strikes the surface of a medium such as water or glass, its intensity decreases with depth. The Beer-Lambert-Bouguer law states that the percentage of decrease is the same for each additional unit of depth. In a certain lake, intensity decreases about 85% for each additional meter of depth. (a) Use a formula to express intensity I as an exponential function of d. (Use I0 to denote the initial intensity.) I(d) = b)) At what depth will the intensity of light be one-tenth of the intensity of light striking the surface? (Round your answer to two decimal places.)
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter5: Inverse, Exponential, And Logarithmic Functions
Section5.3: The Natural Exponential Function
Problem 37E
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When light strikes the surface of a medium such as water or glass, its intensity decreases with depth. The Beer-Lambert-Bouguer law states that the percentage of decrease is the same for each additional unit of depth. In a certain lake, intensity decreases about 85% for each additional meter of depth.
(a) Use a formula to express intensity I as an exponential function of d. (Use I0 to denote the initial intensity.)
I(d) =
I(d) =
b)) At what depth will the intensity of light be one-tenth of the intensity of light striking the surface? (Round your answer to two decimal places.)
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