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.
3
views
Ch.6 - Electronic Structure of Atoms
Brown14th EditionChemistry: The Central ScienceISBN: 9780134414232
Not the one you use?Change textbookSelect a different textbook
Table of contents
- Ch.1 - Introduction: Matter, Energy, and Measurement177
- Ch.2 - Atoms, Molecules, and Ions231
- Ch.3 - Chemical Reactions and Reaction Stoichiometry216
- Ch.4 - Reactions in Aqueous Solution189
- Ch.5 - Thermochemistry175
- Ch.6 - Electronic Structure of Atoms168
- Ch.7 - Periodic Properties of the Elements150
- Ch.8 - Basic Concepts of Chemical Bonding177
- Ch.9 - Molecular Geometry and Bonding Theories200
- Ch.10 - Gases179
- Ch.11 - Liquids and Intermolecular Forces113
- Ch.12 - Solids and Modern Materials154
- Ch.13 - Properties of Solutions157
- Ch.14 - Chemical Kinetics199
- Ch.15 - Chemical Equilibrium128
- Ch.16 - Acid-Base Equilibria164
- Ch.17 - Additional Aspects of Aqueous Equilibria163
- Ch.18 - Chemistry of the Environment105
- Ch.19 - Chemical Thermodynamics164
- Ch.20 - Electrochemistry171
- Ch.21 - Nuclear Chemistry122
- Ch.22 - Chemistry of the Nonmetals82
- Ch.23 - Transition Metals and Coordination Chemistry79
- Ch.24 - The Chemistry of Life: Organic and Biological Chemistry16
Brown14th EditionChemistry: The Central ScienceISBN: 9780134414232Not the one you use?Change textbook
Chapter 6, Problem 19b
(b) What is the wavelength of radiation that has a frequency of 5.50 × 1014 s-1?
Verified step by step guidance1
Start by recalling the relationship between wavelength and frequency, which is given by the equation: , where is the speed of light, is the wavelength, and is the frequency.
The speed of light is a constant, approximately . Use this value in the equation.
Rearrange the equation to solve for wavelength : .
Substitute the given frequency into the equation.
Calculate the wavelength using the rearranged formula. Ensure your units are consistent, and remember that the result will be in meters.
Verified video answer for a similar problem:
This video solution was recommended by our tutors as helpful for the problem above.
Video duration:
1mWas this helpful?
Key Concepts
Here are the essential concepts you must grasp in order to answer the question correctly.
Wave-Particle Duality
Wave-particle duality is a fundamental concept in quantum mechanics that describes how every particle or quantum entity exhibits both wave and particle properties. This duality is crucial for understanding electromagnetic radiation, which can be characterized by its wavelength and frequency.
Recommended video:
Guided course
05:19
Subatomic Particles
Relationship Between Wavelength and Frequency
The relationship between wavelength and frequency is described by the equation c = λν, where c is the speed of light (approximately 3.00 × 10^8 m/s), λ is the wavelength, and ν is the frequency. This equation allows us to calculate one property if the other is known, highlighting the inverse relationship between wavelength and frequency.
Recommended video:
Guided course
00:31Frequency-Wavelength Relationship
Units of Measurement
Understanding the units of measurement is essential in chemistry. Frequency is measured in hertz (s^-1), while wavelength is typically measured in meters (m). Converting between these units is necessary when applying the wave equation to solve problems related to electromagnetic radiation.
Recommended video:
Guided course
02:52Units of Radiation Measurement
Related Practice
Textbook Question
A laser pointer used in a lecture hall emits light at 650 nm. What is the frequency of this radiation?
Textbook Question
(d) What distance does electromagnetic radiation travel in 0.38 ps?
Textbook Question
(a) What is the frequency of radiation that has a wavelength of 10 µm, about the size of a bacterium?
1
views
Textbook Question
(c) Would the radiations in part (a) or part (b) be detected by an X-ray detector?