College Physics
College Physics
11th Edition
ISBN: 9781305952300
Author: Raymond A. Serway, Chris Vuille
Publisher: Cengage Learning
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### Understanding the Electronic Structure of Atoms and Molecules

The electronic structure of atoms and molecules can be investigated using photoelectron spectroscopy. An electron in a photoelectron spectrometer is accelerated from rest by a uniform electric field to a speed of \(4.20 \times 10^5 \, m/s\) in \(10 \, \mu s\). We can determine the kinetic energy of the electron using the given information. 

#### Problem Statement
**Determine the kinetic energy of the electron.**

##### Options:
(a) \(8.0 \times 10^{-29} \, Nm\)  
(b) \(1.60 \times 10^{-25} \, Nm\)  
(c) \(3.8 \times 10^{-28} \, Nm\)  
(d) \(4.0 \times 10^{-27} \, Nm\)

---

The electronic structure of atoms and molecules may also be explored by examining the work done on an electron. Given the initial conditions:

An electron in a photoelectron spectrometer is accelerated from rest by a uniform electric field to a speed of \(4.20 \times 10^5 \, m/s\) in \(10 \, \mu s\). 

#### Determine the magnitude of the work done on the electron.

##### Options:
(a) \(1.60 \times 10^{-25} \, J\)  
(b) \(1.6 \times 10^{-19} \, J\)  
(c) \(4.0 \times 10^{-2} \, J\)  
(d) \(8.0 \times 10^{-20} \, J\)

---

In these problems, the parameters such as the velocity of the electron and the time of acceleration are provided, and you are required to determine the kinetic energy and work done on the electron. This application illustrates the use of classical mechanics in understanding phenomena at the atomic level.

For calculations:
- Use the kinetic energy formula \( KE = \frac{1}{2} mv^2 \)
- For work done, consider the work-energy principle.
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Transcribed Image Text:### Understanding the Electronic Structure of Atoms and Molecules The electronic structure of atoms and molecules can be investigated using photoelectron spectroscopy. An electron in a photoelectron spectrometer is accelerated from rest by a uniform electric field to a speed of \(4.20 \times 10^5 \, m/s\) in \(10 \, \mu s\). We can determine the kinetic energy of the electron using the given information. #### Problem Statement **Determine the kinetic energy of the electron.** ##### Options: (a) \(8.0 \times 10^{-29} \, Nm\) (b) \(1.60 \times 10^{-25} \, Nm\) (c) \(3.8 \times 10^{-28} \, Nm\) (d) \(4.0 \times 10^{-27} \, Nm\) --- The electronic structure of atoms and molecules may also be explored by examining the work done on an electron. Given the initial conditions: An electron in a photoelectron spectrometer is accelerated from rest by a uniform electric field to a speed of \(4.20 \times 10^5 \, m/s\) in \(10 \, \mu s\). #### Determine the magnitude of the work done on the electron. ##### Options: (a) \(1.60 \times 10^{-25} \, J\) (b) \(1.6 \times 10^{-19} \, J\) (c) \(4.0 \times 10^{-2} \, J\) (d) \(8.0 \times 10^{-20} \, J\) --- In these problems, the parameters such as the velocity of the electron and the time of acceleration are provided, and you are required to determine the kinetic energy and work done on the electron. This application illustrates the use of classical mechanics in understanding phenomena at the atomic level. For calculations: - Use the kinetic energy formula \( KE = \frac{1}{2} mv^2 \) - For work done, consider the work-energy principle.
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