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Ch.6 - Electronic Structure of Atoms
Brown - Chemistry: The Central Science 14th Edition
Brown14th EditionChemistry: The Central ScienceISBN: 9780134414232Non è quello che usi tu?Cambia libro di testo
Capitolo 6, Problema 81b1

Consider the two waves shown here, which we will consider to represent two electromagnetic radiations: (b) What is the frequency of wave A?
Graph showing a wave representing electromagnetic radiation with a wavelength of 3.6 x 10^-9 m.

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Identify the given wavelength (λ) of wave A from the image, which is 3.6 x 10^-9 meters.
Recall the speed of light (c) in a vacuum, which is approximately 3.00 x 10^8 meters per second.
Use the relationship between the speed of light, wavelength, and frequency: c = λν, where ν is the frequency.
Rearrange the formula to solve for frequency (ν): ν = c / λ.
Substitute the given values into the equation: ν = (3.00 x 10^8 m/s) / (3.6 x 10^-9 m).

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Wavelength

Wavelength is the distance between successive crests (or troughs) of a wave, typically measured in meters. In this case, the wavelength of wave A is given as 3.6 x 10^-9 m, which places it in the electromagnetic spectrum, specifically in the ultraviolet or X-ray region. Understanding wavelength is crucial for calculating other wave properties, such as frequency.
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Frequency-Wavelength Relationship

Frequency

Frequency is the number of cycles of a wave that pass a given point per unit time, usually expressed in hertz (Hz). It is inversely related to wavelength; as wavelength increases, frequency decreases, and vice versa. The relationship between frequency (f) and wavelength (λ) is given by the equation f = c/λ, where c is the speed of light in a vacuum (approximately 3.00 x 10^8 m/s).
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Frequency-Wavelength Relationship

Speed of Light

The speed of light in a vacuum is a fundamental constant of nature, approximately 3.00 x 10^8 m/s. This speed is crucial in electromagnetic wave calculations, as it relates wavelength and frequency. The equation c = fλ shows that the speed of light is equal to the product of frequency and wavelength, allowing for the determination of one property if the others are known.
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Speed of Light Formula
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