Fundamentals of Physics, Volume 1, Chapter 1-20
10th Edition
ISBN: 9781118233764
Author: David Halliday
Publisher: WILEY
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Chapter 38, Problem 55P
To determine
To calculate:
a) the minimum electron energy required for an electron microscope to see inside an atom.
b) the minimum photon energy required for a light microscope to see inside an atom.
c) from (a) and (b) which microscope seems more practical to see inside an atom, and give reasons for the same.
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The highest achievable resolving power of a microscope is limited only by the wavelength used; that is, the smallest item that can be distinguished has dimensions about equal to the wavelength. Suppose one wishes to “see” inside an atom. Assuming the atom to have a diameter of 100 pm, this means that one must be able to resolve a width of, say, 10 pm. (a) If an electron microscope is used, what minimum electron energy is required? (b) If a light microscope is used, what minimum photon energy is required? (c) Which microscope seems more practical? Why?
A horizontal beam of laser light of wavelength is 585 nm passes through a narrow slit that has width 0.0602mm. The intensity of the light is measured on a vertical screen that is 2.00 m from the slit.
(a) What is the minimum uncertainty in the vertical component of the momentum of each proton in the bean after the photon has passed through thr slit? What is the width of the central maximum and the intensity in terms of I0 at the first minimum?
(b) If these photons scatters off an electron at rest at an angle of 15 degrees, what is the photon's final energy?
(c) If these photons strike a metal surface with work function 2.2eV, what would be the maximum kinetic energy of the emitted electrons?
An atom is in an excited state for 4.00 us before moving back to the ground state.
Find the approximate uncertainty in energy of the photon in units of 10¹¹ eV.
(A) 8.23
(B) 3.78
(C) 4.97
(D) 5.49
(E) 6.17
Chapter 38 Solutions
Fundamentals of Physics, Volume 1, Chapter 1-20
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