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In the experiment shown in Figure, the effective slit

An Introduction to Thermal Physics | 1st Edition | ISBN: 9780201380279 | Authors: Daniel V. Schroeder ISBN: 9780201380279 40

Solution for problem 6P Chapter A

An Introduction to Thermal Physics | 1st Edition

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An Introduction to Thermal Physics | 1st Edition | ISBN: 9780201380279 | Authors: Daniel V. Schroeder

An Introduction to Thermal Physics | 1st Edition

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Problem 6P

In the experiment shown in Figure, the effective slit spacing was 6 μm and the distance from the “slits” to the detection screen was 16 cm. The spacing between the center of one bright line and the next (before magnification) was typically 100 nm. From these parameters, determine the wavelength of the electron beam. What voltage was used to accelerate the electrons?

Figure: These images were produced using the beam of an electron microscope. A positively charged wire was placed in the path of the beam, causing the electrons to bend around either side and interfere as if they had passed through a double slit. The current in the electron beam increases from one image to the next, showing that lhe interference pattern is built up from the statistically distributed light flashes of individual electrons. From P. G. Merli, G. F. Missiroli, and G. Pozzi, American Journal of Physics 44, 306 (1976).

Step-by-Step Solution:
Step 1<p>In this problem, the slit spacing, the fringe separation and the distance from the slit to screen is given. We have to use the formula of double slit interference and calculate the wavelength of the electron beam.

Then from the wavelength of the electron beam, we can calculate the momentum of the electrons and from the momentum of the electron we can calculate the voltage required to accelerate the electron.

Step 2<p>The fringe spacing in Young's double slit experiment is given by

                (1)

Here,  is the fringe separation,  is the distance from the slit to screen,  is the wavelength and  is the slit separation. Hence we have

and

Hence the wavelength is

Hence the wavelength of the electron is 3.75 pm.

Step 3 of 3

Chapter A, Problem 6P is Solved
Textbook: An Introduction to Thermal Physics
Edition: 1
Author: Daniel V. Schroeder
ISBN: 9780201380279

This textbook survival guide was created for the textbook: An Introduction to Thermal Physics , edition: 1. Since the solution to 6P from A chapter was answered, more than 264 students have viewed the full step-by-step answer. The full step-by-step solution to problem: 6P from chapter: A was answered by , our top Physics solution expert on 07/05/17, 04:29AM. An Introduction to Thermal Physics was written by and is associated to the ISBN: 9780201380279. The answer to “In the experiment shown in Figure, the effective slit spacing was 6 ?m and the distance from the “slits” to the detection screen was 16 cm. The spacing between the center of one bright line and the next (before magnification) was typically 100 nm. From these parameters, determine the wavelength of the electron beam. What voltage was used to accelerate the electrons?Figure: These images were produced using the beam of an electron microscope. A positively charged wire was placed in the path of the beam, causing the electrons to bend around either side and interfere as if they had passed through a double slit. The current in the electron beam increases from one image to the next, showing that lhe interference pattern is built up from the statistically distributed light flashes of individual electrons. From P. G. Merli, G. F. Missiroli, and G. Pozzi, American Journal of Physics 44, 306 (1976).” is broken down into a number of easy to follow steps, and 151 words. This full solution covers the following key subjects: beam, electrons, electron, slit, spacing. This expansive textbook survival guide covers 10 chapters, and 454 solutions.

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In the experiment shown in Figure, the effective slit

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