measured in cycles per second. As the frequency is increased, the eye initially perceives a series of flashes of light, then a coarse flicker a fine flicker, and ultimately a steady light. The frequency at which the flickering disappears is called the fusion frequency. The table pelow shows the results of an experiment in which the fusion frequency F was measured as a function of the light intensity 1. I 0.8 1.9 4.4 10 21.4 48.4 92.5 218.7 437.3 980 F 8 12.1 15.2 18.521.7 25.3 28.3 31.9 35.2 38.2 a) Find a logarithmic model (e.g. F = a In(I) + b ) for the data using the first and last data points in the table. (Round constants to two decimal places) b) How well does the model in part (a) agree with the actual fusion frequency observed at intensity 437.3? The model predicts a frequency of as compared to the observed frequency of c) How well does the model in part (a) agree with the observed intensity when determining a fusion frequency of 25.3? The model predicts an intensity of as compared to the observed intensity of

measured in cycles per second. As the frequency is increased, the eye initially perceives a series of flashes of light, then a coarse flicker a fine flicker, and ultimately a steady light. The frequency at which the flickering disappears is called the fusion frequency. The table pelow shows the results of an experiment in which the fusion frequency F was measured as a function of the light intensity 1. I 0.8 1.9 4.4 10 21.4 48.4 92.5 218.7 437.3 980 F 8 12.1 15.2 18.521.7 25.3 28.3 31.9 35.2 38.2 a) Find a logarithmic model (e.g. F = a In(I) + b ) for the data using the first and last data points in the table. (Round constants to two decimal places) b) How well does the model in part (a) agree with the actual fusion frequency observed at intensity 437.3? The model predicts a frequency of as compared to the observed frequency of c) How well does the model in part (a) agree with the observed intensity when determining a fusion frequency of 25.3? The model predicts an intensity of as compared to the observed intensity of

Advanced Engineering Mathematics

10th Edition

ISBN:9780470458365

Author:Erwin Kreyszig

Publisher:Erwin Kreyszig

Chapter2: Second-order Linear Odes

Section: Chapter Questions

Problem 1RQ

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