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?
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Ch.6 - Electronic Structure of Atoms
Brown15th EditionChemistry: The Central ScienceISBN: 9780137542970
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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
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Capitolo 6, Problema 2a
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.
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Convert the frequency from MHz to Hz for easier calculation. Remember that 1 MHz equals 1,000,000 Hz, so multiply the given frequency by 1,000,000.
Use the speed of light equation, which is c = \(\lambda\) \(\nu\), where c is the speed of light (approximately 3.00 \(\times\) 10^8 m/s), \(\lambda\) is the wavelength, and \(\nu\) is the frequency. Rearrange the equation to solve for the wavelength (\(\lambda\)).
Substitute the frequency value in Hz and the speed of light into the rearranged equation \(\lambda\) = \(\frac{c}{\nu}\).
Calculate the wavelength by dividing the speed of light by the frequency. Ensure your units are consistent (meters for wavelength and Hz for frequency).
Express the final wavelength in meters, which is the standard unit for wavelength in the context of electromagnetic radiation.
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Electromagnetic Radiation
Electromagnetic radiation encompasses a range of waves, including radio waves, microwaves, and visible light, characterized by their frequency and wavelength. The frequency, measured in hertz (Hz), indicates how many cycles of the wave occur per second, while the wavelength, measured in meters, is the distance between successive peaks of the wave. Understanding this relationship is crucial for estimating wavelength from frequency.
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Percorso guidato
01:02
Electromagnetic Radiation Example
Wavelength and Frequency Relationship
The relationship between wavelength (λ) and frequency (f) of electromagnetic radiation is described by the equation c = λf, where c is the speed of light (approximately 3.00 x 10^8 m/s). This equation allows us to calculate the wavelength when the frequency is known, and vice versa. In this case, knowing the frequency of 2450 MHz enables us to determine the corresponding wavelength.
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00:31Frequency-Wavelength Relationship
Unit Conversion
In scientific calculations, unit conversion is often necessary to ensure consistency in measurements. For instance, the frequency given in megahertz (MHz) must be converted to hertz (Hz) for use in the wavelength formula. Since 1 MHz equals 10^6 Hz, converting 2450 MHz to Hz is essential for accurately calculating the wavelength of the electromagnetic radiation produced by the kitchen appliance.
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Percorso guidato
01:56Conversion Factors
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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. b. What would be the frequency of electromagnetic radiation with the same wavelength?
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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: (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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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?
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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?
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