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Ch.5 - Periodicity & Electronic Structure of Atoms
McMurry - Chemistry 8th Edition
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Capitolo 5, Problema 39

What is the frequency of a microwave with l = 4.33 * 10-3 m?

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Identify the relationship between frequency (\(f\)), wavelength (\(\lambda\)), and the speed of light (\(c\)). The formula is \(c = \lambda \cdot f\).
Recall that the speed of light \(c\) is approximately \(3.00 \times 10^8\) meters per second.
Rearrange the formula to solve for frequency: \(f = \frac{c}{\lambda}\).
Substitute the given wavelength \(\lambda = 4.33 \times 10^{-3}\) meters into the equation.
Calculate the frequency by dividing the speed of light by the given wavelength.

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Wavelength and Frequency Relationship

The relationship between wavelength (λ) and frequency (ν) of electromagnetic waves is described by the equation c = λν, where c is the speed of light (approximately 3.00 x 10^8 m/s). This means that as the wavelength increases, the frequency decreases, and vice versa. Understanding this relationship is crucial for calculating the frequency of a wave when its wavelength is known.
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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 meters per second. This constant is essential in various calculations involving electromagnetic radiation, including microwaves. Knowing the speed of light allows us to relate wavelength and frequency, which is key to solving the given question.
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Speed of Light Formula

Microwave Radiation

Microwaves are a type of electromagnetic radiation with wavelengths ranging from about 1 millimeter to 1 meter. They are commonly used in communication technologies and cooking appliances. Understanding the properties of microwaves, including their wavelength and frequency, is important for applications in both science and technology, as well as for solving problems related to their behavior.
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Electromagnetic Radiation Example
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