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Chapter 11: Problem 6

What do we mean by the frequency of electromagnetic radiation? Is the frequency the same as the speed of the electromagnetic radiation?

Short Answer

Expert verified
The frequency of electromagnetic radiation refers to the number of oscillations the electric and magnetic fields undergo in one second, measured in Hertz (Hz). Frequency is related to the speed of the electromagnetic radiation, but it is not the same thing. The speed of the radiation also depends on the wavelength of the wave, as given by the equation \(c = 位f\), where \(c\) is the speed of light, \(位\) is the wavelength, and \(f\) is the frequency.

Step by step solution

01

Defining Frequency (f)

Frequency is the number of cycles of a wave that pass a given point in a specific time period, usually measured in Hertz (Hz). In the case of electromagnetic radiation, the frequency refers to the number of oscillations the electric and magnetic fields undergo in one second.
02

Relationship between Frequency (f), Wavelength (位), and the Speed of Light (c)

Electromagnetic radiation travels as a wave, with a specific frequency (f) and wavelength (位). There is a relationship between the frequency, wavelength, and the speed of light (c), which is given by the equation: \[c = 位f\] The speed of light (c) is approximately \(3 \times 10^8\) meters per second (m/s) in a vacuum. Knowing the frequency and wavelength of electromagnetic radiation allows us to calculate the speed of that specific wave.
03

Is Frequency the same as the Speed of Electromagnetic Radiation?

From the equation in Step 2, we can see that the speed of electromagnetic radiation is the product of the frequency and wavelength of the wave. The frequency by itself is not the same as the speed of the electromagnetic radiation; it is only one component needed to calculate the speed. In conclusion, the frequency of electromagnetic radiation is a measure of the number of oscillations or cycles the wave undergoes per second. While it is related to the speed of the electromagnetic radiation, it is not the same thing, as the speed also depends on the wavelength of the wave.

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Most popular questions from this chapter

An unknown element is a nonmetal and has a valence-electron configuration of \(\mathrm{n} s^{2} \mathrm{n} p^{4}\) a. How many valence electrons does this element have? b. Possible identities for this element include which of the following? $$ \mathrm{Cl}, \mathrm{S}, \mathrm{Pb}, \mathrm{Se}, \mathrm{Cr} $$

Which of the following statements about the periodic table is false? a. Elements in the same column have similar reactivities because their valence electrons tend to be located in the same types of orbitals. b. A series of ions that are isoelectronic (contain the same number of electrons) in their ground states must have the same electron configuration. c. The atomic size of the elements increases going across a period from left to right because the number of electrons increases, so the electrons are located further from the nucleus. d. It takes more energy to remove an electron from lithium than from cesium because the valence electrons in lithium are located closer to the nucleus.

Which of the following orbital designations is(are) possible? a. \(1 s\) b. \(2 p\) c. \(2 d\) d. \(4 f\)

What are the metalloids? Where are the metalloids found on the periodic table?

Although a hydrogen atom has only one electron, the hydrogen atom possesses a complete set of available orbitals. What purpose do these additional orbitals serve?
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