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Ch.6 - Electronic Structure of Atoms
Brown - Chemistry: The Central Science 14th Edition
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Tutti i libri di testoBrown 14th EditionCh.6 - Electronic Structure of AtomsProblema 19b
Capitolo 6, Problema 19b

(b) What is the wavelength of radiation that has a frequency of 5.50 × 1014 s-1?

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Start by recalling the relationship between wavelength and frequency, which is given by the equation: c=λν, where c is the speed of light, λ is the wavelength, and ν is the frequency.
The speed of light c is a constant, approximately 3.00×10^8 m/s. Use this value in the equation.
Rearrange the equation to solve for wavelength λ: λ=cν.
Substitute the given frequency 5.50×10^14 s-1 into the equation.
Calculate the wavelength using the rearranged formula. Ensure your units are consistent, and remember that the result will be in meters.

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Wave-Particle Duality

Wave-particle duality is a fundamental concept in quantum mechanics that describes how every particle or quantum entity exhibits both wave and particle properties. This duality is crucial for understanding electromagnetic radiation, which can be characterized by its wavelength and frequency.
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Relationship Between Wavelength and Frequency

The relationship between wavelength and frequency is described by the equation c = λν, where c is the speed of light (approximately 3.00 × 10^8 m/s), λ is the wavelength, and ν is the frequency. This equation allows us to calculate one property if the other is known, highlighting the inverse relationship between wavelength and frequency.
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Units of Measurement

Understanding the units of measurement is essential in chemistry. Frequency is measured in hertz (s^-1), while wavelength is typically measured in meters (m). Converting between these units is necessary when applying the wave equation to solve problems related to electromagnetic radiation.
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Units of Radiation Measurement
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