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 75% for each additional meter of depth. (a) Explain why intensity I is an exponential function of depth d in meters. Intensity I is an exponential function of depth since I increases by a decreasing percentage as a function of depth.Intensity I is an exponential function of depth since I decreases by a decreasing percentage as a function of depth. Intensity I is an exponential function of depth since I increases by an increasing percentage as a function of depth.Intensity I is an exponential function of depth since I decreases by an increasing percentage as a function of depth.Intensity I is an exponential function of depth since I decreases by a constant percentage as a function of depth.
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 75% for each additional meter of depth. (a) Explain why intensity I is an exponential function of depth d in meters. Intensity I is an exponential function of depth since I increases by a decreasing percentage as a function of depth.Intensity I is an exponential function of depth since I decreases by a decreasing percentage as a function of depth. Intensity I is an exponential function of depth since I increases by an increasing percentage as a function of depth.Intensity I is an exponential function of depth since I decreases by an increasing percentage as a function of depth.Intensity I is an exponential function of depth since I decreases by a constant percentage as a function of depth.
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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 75% for each additional meter of depth.
(a) Explain why intensity I is an exponential function of depth d in meters.
(b) Use a formula to express intensity I as an exponential function of d. (Use I0 to denote the initial intensity.)
Intensity I is an exponential function of depth since I increases by a decreasing percentage as a function of depth.Intensity I is an exponential function of depth since I decreases by a decreasing percentage as a function of depth. Intensity I is an exponential function of depth since I increases by an increasing percentage as a function of depth.Intensity I is an exponential function of depth since I decreases by an increasing percentage as a function of depth.Intensity I is an exponential function of depth since I decreases by a constant percentage as a function of depth.
(b) Use a formula to express intensity I as an exponential function of d. (Use I0 to denote the initial intensity.)
Answer I0(0.25d)
(c) Explain in practical terms the meaning of I0.
(c) Explain in practical terms the meaning of I0.
Answer: I0 represents the intensity ---Select--- anywhere near the lake underwater at the surface of the lake at the bottom of the lake at distance d from the surface of the lake .
(d) At what depth will the intensity of light be three-tenths of the intensity of light striking the surface? (Round your answer to two decimal places.) ?Expert Solution
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