Domanda del libro di testo
The speed of sound in dry air at is 343 m/s, and the middle C on a piano keyboard has a frequency of 261 Hz. a. What is the wavelength of the sound wave corresponding to a middle C?
2
views
Ch.6 - Electronic Structure of Atoms
Brown15th EditionChemistry: The Central ScienceISBN: 9780137542970
Non è quello che usi tu?Cambia libro di testoScegli un libro di testo diverso
TOC.tableOfContents
- Ch.1 - Introduction: Matter, Energy, and Measurement146
- Ch.2 - Atoms, Molecules, and Ions200
- Ch.3 - Chemical Reactions and Reaction Stoichiometry176
- Ch.4 - Reactions in Aqueous Solution155
- Ch.5 - Thermochemistry126
- Ch.6 - Electronic Structure of Atoms131
- Ch.7 - Periodic Properties of the Elements126
- Ch.8 - Basic Concepts of Chemical Bonding123
- Ch.9 - Molecular Geometry and Bonding Theories143
- Ch.10 - Gases147
- Ch.11 - Liquids and Intermolecular Forces91
- Ch.12 - Solids and Modern Materials122
- Ch.13 - Properties of Solutions126
- Ch.14 - Chemical Kinetics174
- Ch.15 - Chemical Equilibrium101
- Ch.16 - Acid-Base Equilibria139
- Ch.17 - Additional Aspects of Aqueous Equilibria146
- Ch.18 - Chemistry of the Environment72
- Ch.19 - Chemical Thermodynamics129
- Ch.20 - Electrochemistry142
- Ch.21 - Nuclear Chemistry101
- Ch.22 - Chemistry of the Nonmetals68
- Ch.23 - Transition Metals and Coordination Chemistry66
- Ch.24 - The Chemistry of Life: Organic and Biological Chemistry10
Brown15th EditionChemistry: The Central ScienceISBN: 9780137542970Non è quello che usi tu?Cambia libro di testo
Capitolo 6, Problema 1b
The speed of sound in dry air at is 343 m/s, and the middle C on a piano keyboard has a frequency of 261 Hz. b. What would be the frequency of electromagnetic radiation with the same wavelength?
Guida verificata passo dopo passo1
Identify the relationship between speed, frequency, and wavelength for sound waves: \( v = f \cdot \lambda \), where \( v \) is the speed of sound, \( f \) is the frequency, and \( \lambda \) is the wavelength.
Calculate the wavelength of the sound wave using the given speed of sound (343 m/s) and the frequency of middle C (261 Hz): \( \lambda = \frac{v}{f} \).
Recognize that electromagnetic radiation also follows the wave equation: \( c = f_{em} \cdot \lambda \), where \( c \) is the speed of light (approximately \( 3.00 \times 10^8 \) m/s), \( f_{em} \) is the frequency of the electromagnetic wave, and \( \lambda \) is the wavelength.
Use the wavelength calculated from the sound wave to find the frequency of the electromagnetic radiation: \( f_{em} = \frac{c}{\lambda} \).
Substitute the known values into the equation to solve for the frequency of the electromagnetic radiation.
Risposta video verificata per un problema simile:
Questa soluzione video è stata consigliata dai nostri tutor come utile per risolvere questo problema.
Concetti chiave
Ecco i concetti essenziali che devi comprendere per rispondere correttamente alla domanda.
Wave Speed
Wave speed is the distance traveled by a wave per unit time. In the context of sound, it is determined by the medium through which it travels, such as air. The speed of sound in dry air at room temperature is approximately 343 m/s, which is essential for calculating the wavelength of sound waves.
Video consigliato:
Percorso guidato
00:57
Speed of Light Formula
Frequency and Wavelength Relationship
The relationship between frequency (f) and wavelength (λ) of a wave is described by the equation v = fλ, where v is the wave speed. This means that the frequency of a wave is inversely proportional to its wavelength; as frequency increases, wavelength decreases, and vice versa. This principle applies to both sound and electromagnetic waves.
Video consigliato:
Percorso guidato
00:31Frequency-Wavelength Relationship
Electromagnetic Radiation
Electromagnetic radiation encompasses a range of waves, including visible light, radio waves, and X-rays, all of which travel at the speed of light in a vacuum (approximately 3 x 10^8 m/s). The frequency of electromagnetic radiation can be calculated using the same wave speed and wavelength relationship as sound, allowing for comparisons between different types of waves.
Video consigliato:
Percorso guidato
01:02Electromagnetic Radiation Example
Pratica correlata
Domanda del libro di testo
A popular kitchen appliance produces electromagnetic radiation with a frequency of 2450 MHz. With reference to Figure 6.4, answer the following: (a) Estimate the wavelength of this radiation.
568
views
Domanda del libro di testo
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?
374
views
Domanda del libro di testo
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?
952
views
1
comments