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13. Two lights that have different wavelengths and intensities may look the same

ID: 1882298 • Letter: 1

Question

13. Two lights that have different wavelengths and intensities may look the same (match).A color match between two lights occurs when -for each cone - the response to one light equals the response to the other light. When this happens there is no way that the visual system can tell the two lights apart. Such lights are known as "metamers" (physically different lights that look identical). For example, lights A and B below may be physically different, but you will not be able to tell them apart if the cone responses on each side are the experiments measure how you have to adjust the intensity of one light (e.g. light B) to match the appearance of another light (e.g. light A). same. Color matching cone cone to light Ato light B a. For the S cones, what would we have to set the intensity (Tso) of a 500 nm light to, in or to match the response to a 430 nm light with intensity- 20? (Use Table 1 to get the S con sensitivity at 430 nm and 500 nm.) Note we can write the match as an equation: response to light Aresponse to light B 20 x the S sensitivity at 430 1s the S sensitivity at 500 (S response at 430 nm) (S response at 500 nm) the required intensity of the 500 nm light (lsoo)-11.57 b. For the M cones, what would we have to set the intensity (Iso) of a 500 nm light to order to match the response to a light composed of a mixture of 10 units of 450 nm + of 600 nm? (Again use Table 1 to get the M cone sensitivities.) the M sensitivity a 10 x M sensitivity at 450+ 20 x M sensitivity at 600 1500 (M response at 500 nm) = al response to the mixture of 450 + 600 nm) the required intensity of 500 nm light (1so)

Explanation / Answer

20 *0.904 = x * 0.165

That gives

x = 109.696

which can be approximated to

x =109.7

thus the answer would be

109.7

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