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Chapter 7: Problem 24

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 of the wave per unit time, typically measured in Hertz (Hz). It is an important term as it is directly related to the energy of the radiation, with higher frequencies having higher energy. The speed of electromagnetic radiation is the rate at which the wave propagates through a medium or vacuum. All electromagnetic waves travel at the speed of light (\(c \approx 3 \times 10^8\) m/s) in a vacuum, but have different frequencies which determine their energy levels. Therefore, the frequency and speed of electromagnetic radiation are not the same concept.

Step by step solution

01

Define Electromagnetic Radiation

Electromagnetic radiation refers to the waves of the electromagnetic field, which include radio waves, microwaves, infrared, visible light, ultraviolet, X-rays, and gamma rays. These waves propagate through free space or a material medium and have both electric and magnetic field components that oscillate in perpendicular planes with respect to each other and the direction of energy propagation.
02

Define Frequency

The frequency of electromagnetic radiation is the number of oscillations of the wave per unit time. It is typically measured in Hertz (Hz), where 1 Hz is equal to one complete oscillation or cycle per second. The frequency of the radiation is an important term as it is directly related to the energy of the radiation. High-frequency waves, like X-rays, have high energy, while low-frequency waves, like radio waves, have low energy.
03

Define Speed

The speed of electromagnetic radiation is the rate at which the wave propagates through a medium or vacuum. In a vacuum, all electromagnetic waves travel at the same speed - the speed of light \(c\), approximately \(3 \times 10^8\) meters per second. The speed can be related to the wavelength and frequency of the wave through the formula: \(c = \lambda f\), where \(c\) is the speed of light, \(\lambda\) is the wavelength, and \(f\) is the frequency.
04

Comparing Frequency and Speed

While both the frequency and speed describe the characteristics of electromagnetic radiation, they are not the same concept. The frequency refers to the number of oscillations per unit time and is related to the energy of the radiation, while the speed refers to the rate at which the wave propagates through a medium or vacuum. It is important to note that in a vacuum, all electromagnetic waves travel at the same speed - the speed of light. However, these waves can have different frequencies, which determines their energy levels. For example, radio waves have low frequency and low energy, whereas X-rays have high frequency and high energy.

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Most popular questions from this chapter

Small daily doses of lithium carbonate taken orally are often given to treat manic-depressive psychoses. This dosage maintains the level of lithium ion in the blood at about \(1 \times 10^{-3} \mathrm{mol} / \mathrm{L}\) . a. What is the formula of lithium carbonate? b. What mass of lithium ion is present per liter of blood in these patients?

Determine the maximum number of electrons that can have each of the following designations: \(2 f, 2 d_{x y}, 3 p, 5 d_{y z},\) and 4\(p .\)

Does a photon of visible light \((\lambda \approx 400 \text { to } 700 \mathrm{nm})\) have sufficient energy to excite an electron in a hydrogen atom from the \(n=1\) to the \(n=5\) energy state? from the \(n=2\) to the \(n=6\) energy state?

Calculate the de Broglie wavelength for each of the following. a. an electron with a velocity 10.% of the speed of light b. a tennis ball ( 55 g) served at 35 \(\mathrm{m} / \mathrm{s}(\sim 80 \mathrm{mi} / \mathrm{h})\)

Consider only the transitions involving the first four energy levels for a hydrogen atom: a. How many emissions are possible for an electron in the \(n=4\) level as it goes to the ground state? b. Which electronic transition is the lowest energy? c. Which electronic transition corresponds to the shortest wavelength emission?
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