Textbook Question
Arrange the following kinds of electromagnetic radiation in order of increasing wavelength: infrared, green light, red light, radio waves, X rays, ultraviolet light.
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Ch.6 - Electronic Structure of Atoms
Brown14th EditionChemistry: The Central ScienceISBN: 9780134414232
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Table of contents
- Ch.1 - Introduction: Matter, Energy, and Measurement140
- Ch.2 - Atoms, Molecules, and Ions192
- Ch.3 - Chemical Reactions and Reaction Stoichiometry172
- Ch.4 - Reactions in Aqueous Solution156
- Ch.5 - Thermochemistry151
- Ch.6 - Electronic Structure of Atoms137
- Ch.7 - Periodic Properties of the Elements127
- Ch.8 - Basic Concepts of Chemical Bonding143
- Ch.9 - Molecular Geometry and Bonding Theories167
- Ch.10 - Gases147
- Ch.11 - Liquids and Intermolecular Forces97
- Ch.12 - Solids and Modern Materials129
- Ch.13 - Properties of Solutions126
- Ch.14 - Chemical Kinetics175
- Ch.15 - Chemical Equilibrium107
- Ch.16 - Acid-Base Equilibria127
- Ch.17 - Additional Aspects of Aqueous Equilibria133
- Ch.18 - Chemistry of the Environment88
- Ch.19 - Chemical Thermodynamics140
- Ch.20 - Electrochemistry137
- Ch.21 - Nuclear Chemistry99
- Ch.22 - Chemistry of the Nonmetals66
- Ch.23 - Transition Metals and Coordination Chemistry69
- Ch.24 - The Chemistry of Life: Organic and Biological Chemistry11
Brown14th EditionChemistry: The Central ScienceISBN: 9780134414232Not the one you use?Change textbook
Chapter 6, Problem 16
Determine which of the following statements are false and correct them. Determine which of the following statements are false and correct them. (a) The frequency of radiation increases as the wavelength increases. (b) Electromagnetic radiation travels through a vacuum at a constant speed, regardless of wavelength. (c) Infrared light has higher frequencies than visible light. (d) The glow from a fireplace, the energy within a microwave oven, and a foghorn blast are all forms of electromagnetic radiation.
Verified step by step guidance1
Step 1: Analyze statement (a): 'The frequency of radiation increases as the wavelength increases.' Use the relationship between frequency (\(f\)) and wavelength (\(\lambda\)) given by the equation \(c = f \cdot \lambda\), where \(c\) is the speed of light. Determine if the statement is true or false.
Step 2: Analyze statement (b): 'Electromagnetic radiation travels through a vacuum at a constant speed, regardless of wavelength.' Recall that the speed of light in a vacuum is constant (approximately \(3.00 \times 10^8\) m/s) for all electromagnetic waves. Determine if the statement is true or false.
Step 3: Analyze statement (c): 'Infrared light has higher frequencies than visible light.' Compare the typical frequency ranges of infrared and visible light. Infrared light has longer wavelengths than visible light, which affects its frequency. Determine if the statement is true or false.
Step 4: Analyze statement (d): 'The glow from a fireplace, the energy within a microwave oven, and a foghorn blast are all forms of electromagnetic radiation.' Consider the nature of each example: the glow from a fireplace (visible light), energy in a microwave oven (microwave radiation), and a foghorn blast (sound wave). Determine if the statement is true or false.
Step 5: Correct any false statements identified in the previous steps by providing the accurate scientific explanation or fact.
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Key Concepts
Here are the essential concepts you must grasp in order to answer the question correctly.
Relationship Between Wavelength and Frequency
The frequency of electromagnetic radiation is inversely related to its wavelength, as described by the equation c = λν, where c is the speed of light, λ is the wavelength, and ν is the frequency. This means that as the wavelength increases, the frequency decreases. Therefore, the statement that the frequency increases as the wavelength increases is false.
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Frequency-Wavelength Relationship
Speed of Electromagnetic Radiation
Electromagnetic radiation travels through a vacuum at a constant speed of approximately 3.00 x 10^8 meters per second, regardless of its wavelength or frequency. This principle is fundamental to understanding how different types of electromagnetic waves, such as radio waves and gamma rays, propagate through space. Thus, the statement about the speed being dependent on wavelength is incorrect.
Electromagnetic Spectrum
The electromagnetic spectrum encompasses all types of electromagnetic radiation, arranged by frequency and wavelength. Infrared light has lower frequencies than visible light, which means it occupies a different region of the spectrum. Therefore, the assertion that infrared light has higher frequencies than visible light is false, as visible light has higher frequencies than infrared.
Related Practice
Textbook Question
Label each of the following statements as true or false. For those that are false, correct the statement. (a) Visible light is a form of electromagnetic radiation.
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Textbook Question
(b) What is the wavelength of radiation that has a frequency of 5.50 × 1014 s-1?
Textbook Question
(a) What is the frequency of radiation that has a wavelength of 10 µm, about the size of a bacterium?
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Textbook Question
Label each of the following statements as true or false. For those that are false, correct the statement. (c) X rays travel faster than microwaves.
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