A light, flashing regularly, consists of cycles, each

Chapter , Problem 5.4.30

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A light, flashing regularly, consists of cycles, each cycle having a dark phase and a light phase. The frequency of this light is 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.26 Table 5.23 shows the results of an experiment27 in which the fusion frequency was measured as a function of the light intensity . It is modeled by = ln + . (a) Find ln for each value of , and then use linear regression on a calculator or computer to estimate and in the equation = ln + . (b) Plot against ln , showing the data points and the line. (c) Plot against , showing the data points and the curve and give its equation. (d) The units of are arbitrary, that is, not given. If the units of were changed, which of the constants and would be affected, and in what way? Table 5.23 Fusion frequency, , as a function of the light intensity, 0.8 1.9 4.4 10.0 21.4 48.4 92.5 218.7 437.3 980.0 8.0 12.1 15.2 18.5 21.7 25.3 28.3 31.9 35.2 38.2

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