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Chapter 7: Problem 21

Explain the photoelectric effect.

Short Answer

Expert verified
The photoelectric effect is a phenomenon in which electrons are emitted from a material's surface when light is incident upon it. This effect occurs due to the interaction between light (as photons) and electrons in the material, where a photon transfers its energy to an electron, causing it to be ejected if the energy is sufficient. Important observations include the direct proportionality between the number of emitted electrons and light intensity, the presence of a threshold frequency below which no electrons are emitted, and the dependency of emitted electron kinetic energy on light frequency, not intensity. Factors affecting the photoelectric effect include the material, frequency and intensity of incident light, and the angle of incidence.

Step by step solution

01

Definition of the Photoelectric Effect

The photoelectric effect is a phenomenon where electrons are emitted from a material's surface when light is incident upon it. This effect is used in various applications, such as solar cells and photodetectors, as it converts light energy into electrical energy.
02

Photons and Energy Transfer

The photoelectric effect is caused by the interaction between light (in the form of photons) and the electrons in the material. When a photon with sufficient energy collides with an electron, it transfers its energy to the electron. The electron absorbs the energy, and if the energy is enough to overcome the binding forces keeping the electron attached to the material, the electron is ejected from the material's surface.
03

Observations Made During the Photoelectric Effect

Several observations led to a better understanding of the photoelectric effect: 1. The number of emitted electrons is directly proportional to the intensity of the incident light. The higher the intensity, the more electrons are ejected. 2. There is a minimum frequency of the incident light below which no electrons are emitted, regardless of the light intensity. This minimum frequency is called the threshold frequency. 3. The emitted electrons' kinetic energy depends on the frequency of the incident light and not on its intensity. Increasing the frequency of the light increases the kinetic energy of the emitted electrons. 4. The ejection of electrons from the material's surface is almost instantaneous, as soon as the light is incident upon the surface.
04

Factors Affecting the Photoelectric Effect

There are several factors that affect the photoelectric effect: 1. The material of the surface: Different materials have different threshold frequencies and response times for the photoelectric effect. 2. The frequency of the incident light: The frequency must be greater than the threshold frequency to cause the photoelectric effect. 3. The intensity of the incident light: Increasing the light intensity increases the number of ejected electrons, as more photons are available to interact with the electrons in the material. 4. The angle of incidence of the light: The angle between the incident light and the material's surface can affect the photoelectric effect's efficiency, as it influences the amount of energy transferred to the electrons.

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Most popular questions from this chapter

Identify the following elements. a. An excited state of this element has the electron configuration \(1 s^{2} 2 s^{2} 2 p^{5} 3 s^{1}\). b. The ground-state electron configuration is \([\mathrm{Ne}] 3 s^{2} 3 p^{4}\). c. An excited state of this element has the electron configuration \([\mathrm{Kr}] 5 s^{2} 4 d^{6} 5 p^{2} 6 s^{1}\) d. The ground-state electron configuration contains three unpaired \(6 p\) electrons.

In the ground state of element 115, Uup, a. how many electrons have \(n=5\) as one of their quantum numbers? b. how many electrons have \(\ell=3\) as one of their quantum numbers? c. how many electrons have \(m_{\ell}=1\) as one of their quantum numbers? d. how many electrons have \(m_{s}=-\frac{1}{2}\) as one of their quantum numbers?

A certain oxygen atom has the electron configuration \(1 s^{2} 2 s^{2} 2 p_{x}^{2} 2 p_{y}^{2}\). How many unpaired electrons are present? Is this an excited state of oxygen? In going from this state to the ground state would energy be released or absorbed?

Carbon absorbs energy at a wavelength of \(150 . \mathrm{nm}\). The total amount of energy emitted by a carbon sample is \(1.98 \times 10^{5} \mathrm{~J}\). Calculate the number of carbon atoms present in the sample, assuming that each atom emits one photon.

Give the maximum number of electrons in an atom that can have these quantum numbers: a. \(n=0, \ell=0, m_{\ell}=0\) b. \(n=2, \ell=1, m_{\ell}=-1, m_{s}=-\frac{1}{2}\) c. \(n=3, m_{s}=+\frac{1}{2}\) d. \(n=2, \ell=2\) e. \(n=1, \ell=0, m_{\ell}=0\)
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