The human eye, when completely adapted to darkness, is able to perceive a point source of light against a dark back ground when the rate of incidence of radiation on the retina is greater than 2 X 10-16 W.
a. Find the minimum rate of incidence of quanta of radiation on the retina necessary to produce vision, assuming a wavelength of 550 nm.
b. Assuming that all this energy is converted ultimately to heat in visual cells having a total volume of 10-8 m2 and assuming that there are no losses of heat, by how much would the temperature of these cells rise in 1 s? Assume a heat capacity and density equal to that of water.
c. Estimate the safe range of visual intensities (those that you would not expect to cause permanent eye damage).
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