Light intensity in lakes decreases exponentially with depth. If I (z) denotes the light
Chapter 1, Problem 90(choose chapter or problem)
Light intensity in lakes decreases exponentially with depth. If I (z) denotes the light intensity at depth z, with z = 0 representing the surface, then I (z) = I (0)ez , z 0 where is a positive constant called the . Figure 1.71 shows the percentage surface radiation, defined as 100I (z)/I (0), as a function of depth in different lakes. (a) On the basis of the graph, estimate for each lake. (b) Reproduce a graph like the one in Figure 1.71 for Lake Constance (Germany) in May ( = 0.768m1) and December ( = 0.219m1) (data from Tilzer et al., 1982). (c) Explain why the graphs are straight lines. ( ) The Triassic is a geological period that began about 248 million years ago and ended about 213 million years ago; the Cretaceous began about 144 million years ago and ended 65 million years ago.
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