College Physics: A Strategic Approach (4th Edition)
4th Edition
ISBN: 9780134609034
Author: Randall D. Knight (Professor Emeritus), Brian Jones, Stuart Field
Publisher: PEARSON
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Question
Chapter 28, Problem 61GP
a.
To determine
The energy of the single photon and the in which part of electromagnetic spectrum it exists.
b.
To determine
The kinetic energy of the electron.
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Suppose you need to image the structure of a virus
with a diameter of 50 nm. For a sharp image, the
wavelength of the probing wave must be 5.0 nm or
less. We have seen that, for imaging such small
objects, this short wavelength is obtained by using
an electron beam in an electron microscope. Why
don't we simply use short-wavelength
electromagnetic waves? There's a problem with
this approach: As the wavelength gets shorter, the
energy of a photon of light gets greater and could
damage or destroy the object being studied. Let's
compare the energy of a photon and an electron
that can provide the same resolution.
For the electron with a de broglie wavelength of 3.5
nm, what is the kinetic energy (in eV)?
How fast must an electron be moving if all its kinetic energy is lost to a single x-ray photon with the following characteristics?
(a) The photon has a wavelength of 3.55 x 10-8 m near the high end of the x-ray electromagnetic spectrum.
Your response differs significantly from the correct answer. Rework your solution from the beginning and check each step carefully.c
(b) The photon has a wavelength of 3.55 x 10-13 m near the low end of the x-ray electromagnetic spectrum,
Suppose you need to image the structure of a virus with a diameter of 50 nm. For a sharp image, the wavelength of the probing wave must be 5.0 nm or less. We have seen that, for imaging such small objects, this short wavelength is obtained by using an electron beam in an electron microscope. Why don’t we simply use short-wavelength electromagnetic waves? There’s a problem with this approach: As the wavelength gets shorter, the energy of a photon of light gets greater and could damage or destroy the object being studied. Let’s compare the energy of a photon and an electron that can provide the same resolution.a. For light of wavelength 5.0 nm, what is the energy (in eV) of a single photon? In what part of the electromagnetic spectrum is this?b. For an electron with a de Broglie wavelength of 5.0 nm, what is the kinetic energy (in eV)?
Chapter 28 Solutions
College Physics: A Strategic Approach (4th Edition)
Ch. 28 - Prob. 1CQCh. 28 - Prob. 2CQCh. 28 - Prob. 3CQCh. 28 - Prob. 4CQCh. 28 - Prob. 5CQCh. 28 - Prob. 6CQCh. 28 - Prob. 7CQCh. 28 - Prob. 8CQCh. 28 - Prob. 9CQCh. 28 - Prob. 10CQ
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