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.
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Ch.6 - Electronic Structure of Atoms
Brown14th EditionChemistry: The Central ScienceISBN: 9780134414232
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TOC.tableOfContents
- 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: 9780134414232Non è quello che usi tu?Cambia libro di testo
Capitolo 6, Problema 1a
The speed of sound in dry air at 20 °C is 343 m/s and the lowest frequency sound wave that the human ear can detect is approximately 20 Hz. (a) What is the wavelength of such a sound wave?
Guida verificata passo dopo passo1
Step 1: Understand the problem. We are asked to find the wavelength of a sound wave. We know the speed of sound in dry air at 20 °C is 343 m/s and the lowest frequency sound wave that the human ear can detect is approximately 20 Hz.
Step 2: Recall the formula that relates the speed of a wave (v), its frequency (f), and its wavelength (λ). This formula is v = f * λ.
Step 3: Rearrange the formula to solve for the wavelength. This gives us λ = v / f.
Step 4: Substitute the given values into the formula. The speed of sound (v) is 343 m/s and the frequency (f) is 20 Hz.
Step 5: Calculate the wavelength (λ) by dividing the speed of sound by the frequency. This will give you the wavelength of the sound wave in meters.
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Wave Speed
Wave speed is the distance traveled by a wave per unit of time. In the context of sound waves, it is determined by the medium through which the sound is traveling. For dry air at 20 °C, the speed of sound is approximately 343 m/s. Understanding wave speed is essential for calculating other properties of sound waves, such as wavelength and frequency.
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00:57
Speed of Light Formula
Frequency
Frequency is the number of cycles of a wave that pass a given point per unit of time, typically measured in hertz (Hz). In this case, the lowest frequency sound wave detectable by the human ear is about 20 Hz. Frequency is inversely related to wavelength; as frequency increases, wavelength decreases, and vice versa, which is crucial for solving the problem.
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00:31Frequency-Wavelength Relationship
Wavelength
Wavelength is the distance between successive crests (or troughs) of a wave. It is related to wave speed and frequency through the equation: wavelength = wave speed / frequency. For sound waves, knowing the wavelength helps in understanding how sound interacts with the environment, including phenomena like resonance and sound quality.
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00:31Frequency-Wavelength Relationship
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Domanda del libro di testo
The speed of sound in dry air at 20 °C is 343 m/s and the lowest frequency sound wave that the human ear can detect is approximately 20 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: (b) Would the radiation produced by the appliance be visible to the human eye?
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