Here you are invited to explore the process of human vision. (a) The flux of visible photons reaching Earth from the North Star is about 4 x 103 mm-2s-1. Of these photons, 30 per cent are absorbed or scattered by the atmosphere and 25 per cent, of the surviving photons are scattered by the surface of the cornea of the eye. A further 9 per cent ar absorbed inside the cornea. The area of the pupil at night is about 40 mm2 and the response t ime of the eye is about 0.1 s. Of the photons passing through the pupil, about 43 per cent are absorbed in the ocular medium. How many photons from the North Star are focused on to the retina in 0.1 s? For a continuation of this story, see R. W. Rodieck, The first steps in seeing, Sinauer (1998). (b) In the free-electron molecular orbital theory of electronic structure, the π electrons in a conjugated molecule are treated as non-interacting particles in a box of length equal to the length of the conjugated system. On the basis of this model, at what wavelength would you expect all trans-retinal to absorb? Take the mean carboncarbon bond length to be 140 pm.

Principles of Physics: A Calculus-Based Text
5th Edition
ISBN:9781133104261
Author:Raymond A. Serway, John W. Jewett
Publisher:Raymond A. Serway, John W. Jewett
Chapter24: Electromagnetic Waves
Section: Chapter Questions
Problem 54P
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Here you are invited to explore the process of human vision. (a) The flux of visible photons reaching Earth from the North Star is about 4 x 103 mm-2s-1. Of these photons, 30 per cent are absorbed or scattered by the atmosphere and 25 per cent, of the surviving photons are scattered by the surface of the cornea of the eye. A further 9 per cent ar absorbed inside the cornea. The area of the pupil at night is about 40 mm2 and the response t ime of the eye is about 0.1 s. Of the photons passing through the pupil, about 43 per cent are absorbed in the ocular medium. How many photons from the North Star are focused on to the retina in 0.1 s? For a continuation of this story, see R. W. Rodieck, The first steps in seeing, Sinauer (1998). (b) In the free-electron molecular orbital theory of electronic structure, the π electrons in a conjugated molecule are treated as non-interacting particles in a box of length equal to the length of the conjugated system. On the basis of this model, at what wavelength would you expect all trans-retinal to absorb? Take the mean carboncarbon bond length to be 140 pm.

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