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Ch.6 - Electronic Structure of Atoms
Chapter 6, Problem 90c

The human retina has three types of receptor cones, each sensitive to a different range of wavelengths of visible light, as shown in this figure (the colors are merely to differentiate the three curves from one another; they do not indicate the actual colors represented by each curve):
Graph showing three curves representing human cone sensitivity to light wavelengths.
(c) Explain why the sky appears blue even though all wavelengths of solar light are scattered by the atmosphere.

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Identify the three types of cones in the human retina: S-cones (blue), M-cones (green), and L-cones (red).
Observe that S-cones are most sensitive to wavelengths around 450 nm, M-cones to around 530 nm, and L-cones to around 560 nm.
Understand that Rayleigh scattering is more effective at shorter wavelengths, which means blue light (shorter wavelength) is scattered more than red light (longer wavelength).
Note that even though all wavelengths of solar light are scattered, the higher sensitivity of S-cones to blue light makes the sky appear predominantly blue to the human eye.
Conclude that the combination of the scattering effect and the sensitivity of the S-cones results in the perception of a blue sky.

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Key Concepts

Here are the essential concepts you must grasp in order to answer the question correctly.

Visible Light Spectrum

The visible light spectrum is the portion of the electromagnetic spectrum that is visible to the human eye, typically ranging from about 380 nm (violet) to 750 nm (red). Different wavelengths correspond to different colors, with shorter wavelengths appearing blue and longer wavelengths appearing red. Understanding this spectrum is crucial for explaining how light interacts with objects and how it is perceived by the human eye.
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Visible Light Spectrum

Rayleigh Scattering

Rayleigh scattering is the scattering of light or other electromagnetic radiation by particles much smaller than the wavelength of the light. This phenomenon is responsible for the blue color of the sky, as shorter wavelengths (blue light) are scattered more than longer wavelengths (red light) when sunlight passes through the Earth's atmosphere. This selective scattering leads to a predominance of blue light reaching our eyes from all directions in the sky.
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Lattice Energy

Cone Photoreceptors

Cone photoreceptors are specialized cells in the retina that are responsible for color vision. There are three types of cones, each sensitive to different ranges of wavelengths corresponding to blue, green, and red light. The relative activation of these cones allows the brain to perceive a wide range of colors, including the blue of the sky, which is primarily detected by the cones sensitive to shorter wavelengths.
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Radial and Angular Nodes
Related Practice
Textbook Question

Consider a transition in which the electron of a hydrogen atom is excited from n = 1 to n = ∞. (b) What is the wavelength of light that must be absorbed to accomplish this process?

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Textbook Question

Consider a transition in which the electron of a hydrogen atom is excited from n = 1 to n = ∞.  (c) What will occur if light with a shorter wavelength than that in part (b) is used to excite the hydrogen atom?

Textbook Question

Consider a transition in which the electron of a hydrogen atom is excited from n = 1 to n = ∞. (d) How are the results of parts (b) and (c) related to the plot shown in Exercise 6.88?

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Textbook Question

The series of emission lines of the hydrogen atom for which nf = 3 is called the Paschen series. (a) Determine the region of the electromagnetic spectrum in which the lines of the Paschen series are observed.

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Textbook Question

The series of emission lines of the hydrogen atom for which nf = 3 is called the Paschen series. (b) Calculate the wavelengths of the first three lines in the Paschen series—those for which ni = 4, 5, and 6.

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Textbook Question

Determine whether each of the following sets of quantum numbers for the hydrogen atom are valid. If a set is not valid, indicate which of the quantum numbers has a value that is not valid: (a) n = 3, l = 3, ml = 2, ms = +1/2 (b) n = 4, l = 3, ml = -3, ms = +1/2 (c) n = 3, l = 1, ml = 2, ms = +1/2 (d) n = 5, l = 0, ml = 0, ms = 0 (e) n = 2, l = 1, ml = 1, ms = -1/2

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