52. • Structure of a virus. To investigate the structure ofBIO extremely small objects, such as viruses, the wavelength of theprobing wave should be about one-tenth the size of the objectfor sharp images. But as the wavelength gets shorter, theenergy of a photon of light gets greater and could damage ordestroy the object being studied. One alternative is to use elec-tron matter waves instead of light. Viruses vary considerably insize, but 50 nm is not unusual. Suppose you want to study sucha virus, using a wave of wavelength 5.00 nm. (a) If you uselight of this wavelength, what would be the energy (in eV) of asingle photon? (b) If you use an electron of this wavelength,what would be its kinetic energy (in eV)? Is it now clear whymatter waves (such as in the electron microscope) are oftenpreferable to electromagnetic waves for studying microscopicobjects?

a) The photon’s energy can be represented as, Here, h, c, λ, and ν represent Plank’s constant,…

a virus, using a wave of wavelength 5.00 nm. (a) If you use light of this wavelength, what would be the energy (in eV) of a single photon? (b) If you use an electron of this wavelength, what would be its kinetic energy (in ev)? Is it now clear why matter waves (such as in the electron microscope) are often preferable to electromagnetic waves for studying microscopic objects?

a virus, using a wave of wavelength 5.00 nm. (a) If you use light of this wavelength, what would be the energy (in eV) of a single photon? (b) If you use an electron of this wavelength, what would be its kinetic energy (in ev)? Is it now clear why matter waves (such as in the electron microscope) are often preferable to electromagnetic waves for studying microscopic objects?

College Physics

11th Edition

ISBN:9781305952300

Author:Raymond A. Serway, Chris Vuille

Publisher:Raymond A. Serway, Chris Vuille

Chapter1: Units, Trigonometry. And Vectors

Section: Chapter Questions

Problem 1CQ: Estimate the order of magnitude of the length, in meters, of each of the following; (a) a mouse, (b)...

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Concept explainers

Compton effect

The incoming photons' energy must be in the range of an X-ray frequency to generate the Compton effect. The electron does not lose enough energy that reduces the wavelength of scattered photons towards the visible spectrum. As a result, with visible lights, the Compton effect is missing.

Recoil Velocity

The amount of backward thrust or force experienced by a person when he/she shoots a gun in the forward direction is called recoil velocity. This phenomenon always follows the law of conservation of linear momentum.

Question

52. • Structure of a virus. To investigate the structure of
BIO extremely small objects, such as viruses, the wavelength of the
probing wave should be about one-tenth the size of the object
for sharp images. But as the wavelength gets shorter, the
energy of a photon of light gets greater and could damage or
destroy the object being studied. One alternative is to use elec-
tron matter waves instead of light. Viruses vary considerably in
size, but 50 nm is not unusual. Suppose you want to study such
a virus, using a wave of wavelength 5.00 nm. (a) If you use
light of this wavelength, what would be the energy (in eV) of a
single photon? (b) If you use an electron of this wavelength,
what would be its kinetic energy (in eV)? Is it now clear why
matter waves (such as in the electron microscope) are often
preferable to electromagnetic waves for studying microscopic
objects?

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