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Ch.6 - Electronic Structure of Atoms
Chapter 6, Problem 4a

Stars do not all have the same temperature. The color of light emitted by stars is characteristic of the light emitted by hot objects. Telescopic photos of three stars are shown below: (i) the Sun, which is classified as a yellow star, (ii) Rigel, in the constellation Orion, which is classified as a blue-white star, and (iii) Betelgeuse, also in Orion, which is classified as a red star. (a) Place these three stars in order of increasing temperature. (i) sun (ii) Rigel (iii) Betelguese

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Key Concepts

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

Blackbody Radiation

Blackbody radiation refers to the electromagnetic radiation emitted by an idealized object that absorbs all incident radiation, regardless of frequency or angle. The temperature of the blackbody determines the spectrum of light it emits, with hotter objects radiating more energy at shorter wavelengths. This principle helps explain why stars of different colors have varying temperatures.
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Stellar Classification

Stars are classified based on their spectral characteristics, which are closely related to their temperatures. The classification system includes categories such as O, B, A, F, G, K, and M, with O-type stars being the hottest and M-type stars being the coolest. The Sun, classified as a G-type star, is cooler than blue-white stars like Rigel (B-type) and hotter than red stars like Betelgeuse (M-type).
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Color and Temperature Relationship

The color of a star is directly related to its surface temperature, a concept known as Wien's Displacement Law. As a star's temperature increases, it emits light that shifts from red to blue on the visible spectrum. Therefore, in the context of the stars mentioned, Rigel, being blue-white, is the hottest, followed by the Sun, and then Betelgeuse, which is red and the coolest.
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Related Practice
Textbook Question

A popular kitchen appliance produces electromagnetic radiation with a frequency of 2450 MHz. With reference to Figure 6.4, answer the following: (b) Would the radiation produced by the appliance be visible to the human eye?

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Textbook Question

A popular kitchen appliance produces electromagnetic radiation with a frequency of 2450 MHz. With reference to Figure 6.4, answer the following: (c) If the radiation is not visible, do photons of this radiation have more or less energy than photons of visible light?

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Textbook Question

A popular kitchen appliance produces electromagnetic radiation with a frequency of 2450 MHz. With reference to Figure 6.4, answer the following: (d) Which of the following is the appliance likely to be? (i) A toaster oven, (ii) A microwave oven, or (iii) An electric hotplate.

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Textbook Question

The familiar phenomenon of a rainbow results from the diffraction of sunlight through raindrops. (a) Does the wavelength of light increase or decrease as we proceed outward from the innermost band of the rainbow?

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Textbook Question

A certain quantum-mechanical system has the energy levels shown in the accompanying diagram. The energy levels are indexed by a single quantum number n that is an integer. (b) Which quantum numbers are involved in the transition that requires the least energy?

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Textbook Question

Consider the three electronic transitions in a hydrogen atom shown here, labeled A, B, and C. (a) Three electromagnetic waves, all drawn on the same scale, are also shown. Each corresponds to one of the transitions. Which electromagnetic wave (i), (ii), or (iii), is associated with electronic transition C?

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