EBK COLLEGE PHYSICS
4th Edition
ISBN: 8220106755235
Author: Field
Publisher: PEARSON
expand_more
expand_more
format_list_bulleted
Concept explainers
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.
Expert Solution & Answer
Want to see the full answer?
Check out a sample textbook solutionStudents have asked these similar questions
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)?
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)?
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,
Chapter 28 Solutions
EBK COLLEGE PHYSICS
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
Ch. 28 - Prob. 11CQCh. 28 - Prob. 12CQCh. 28 - Prob. 13CQCh. 28 - Prob. 14CQCh. 28 - Prob. 15CQCh. 28 - Prob. 16CQCh. 28 - Prob. 17CQCh. 28 - Prob. 18CQCh. 28 - Prob. 19CQCh. 28 - Prob. 20CQCh. 28 - Prob. 21CQCh. 28 - Prob. 22CQCh. 28 - Prob. 23CQCh. 28 - Prob. 24CQCh. 28 - Prob. 25CQCh. 28 - Prob. 26CQCh. 28 - Prob. 27CQCh. 28 - Prob. 28MCQCh. 28 - Prob. 29MCQCh. 28 - Prob. 30MCQCh. 28 - Prob. 31MCQCh. 28 - Prob. 32MCQCh. 28 - Prob. 33MCQCh. 28 - Prob. 34MCQCh. 28 - Prob. 35MCQCh. 28 - Prob. 36MCQCh. 28 - Prob. 37MCQCh. 28 - Prob. 38MCQCh. 28 - Prob. 1PCh. 28 - Prob. 2PCh. 28 - Prob. 3PCh. 28 - Prob. 4PCh. 28 - Prob. 5PCh. 28 - Prob. 6PCh. 28 - Prob. 7PCh. 28 - Prob. 8PCh. 28 - Prob. 9PCh. 28 - Prob. 10PCh. 28 - Prob. 11PCh. 28 - Prob. 12PCh. 28 - Prob. 13PCh. 28 - Prob. 14PCh. 28 - Prob. 15PCh. 28 - Prob. 16PCh. 28 - Prob. 17PCh. 28 - Prob. 18PCh. 28 - Prob. 19PCh. 28 - Prob. 20PCh. 28 - Prob. 21PCh. 28 - Prob. 22PCh. 28 - Prob. 23PCh. 28 - Prob. 24PCh. 28 - Prob. 25PCh. 28 - Prob. 26PCh. 28 - Prob. 27PCh. 28 - Prob. 28PCh. 28 - Prob. 29PCh. 28 - Prob. 30PCh. 28 - Prob. 31PCh. 28 - Prob. 32PCh. 28 - Prob. 33PCh. 28 - Prob. 34PCh. 28 - Prob. 35PCh. 28 - Prob. 36PCh. 28 - Prob. 37PCh. 28 - Prob. 38PCh. 28 - Prob. 39PCh. 28 - Prob. 40PCh. 28 - Prob. 41PCh. 28 - Prob. 42PCh. 28 - Prob. 43PCh. 28 - Prob. 44PCh. 28 - Prob. 45PCh. 28 - Prob. 46PCh. 28 - Prob. 47PCh. 28 - Prob. 48PCh. 28 - Prob. 49PCh. 28 - Prob. 50PCh. 28 - Prob. 51PCh. 28 - Prob. 52PCh. 28 - Prob. 53PCh. 28 - Prob. 54PCh. 28 - Prob. 55PCh. 28 - Prob. 56PCh. 28 - Prob. 57PCh. 28 - Prob. 58GPCh. 28 - Prob. 59GPCh. 28 - Prob. 60GPCh. 28 - Prob. 61GPCh. 28 - Prob. 62GPCh. 28 - Prob. 63GPCh. 28 - Prob. 64GPCh. 28 - Prob. 65GPCh. 28 - Prob. 66GPCh. 28 - Prob. 67GPCh. 28 - Prob. 68GPCh. 28 - Prob. 69GPCh. 28 - Prob. 70GPCh. 28 - Prob. 71GPCh. 28 - Prob. 72GPCh. 28 - Prob. 73GPCh. 28 - Prob. 74GPCh. 28 - Prob. 75GPCh. 28 - Prob. 76GPCh. 28 - Prob. 77GPCh. 28 - Prob. 78GPCh. 28 - Prob. 79MSPPCh. 28 - Prob. 80MSPPCh. 28 - Prob. 81MSPPCh. 28 - Prob. 82MSPPCh. 28 - Prob. 83MSPPCh. 28 - Prob. 84MSPPCh. 28 - Prob. 85MSPPCh. 28 - Prob. 86MSPPCh. 28 - Prob. 87MSPPCh. 28 - Prob. 88MSPPCh. 28 - Prob. 89MSPPCh. 28 - Prob. 90MSPPCh. 28 - Prob. 91MSPPCh. 28 - Prob. 92MSPP
Knowledge Booster
Learn more about
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, physics and related others by exploring similar questions and additional content below.Similar questions
- (a) How many minutes does it take a photon to travel from the Sun to the Earth? min (b) What is the energy in ev of a photon with a wavelength of 478 nm? ev (c) What is the wavelength (in m) of a photon with an energy of 1.03 eV?arrow_forwardThe human eye is most sensitive to green light of wavelength 505 nm. Experiments have found that when people are kept in a dark room until their eyes adapt to the darkness, a single photon of green light will trigger receptor cells in the rods of the retina. (a) What is the frequency of this photon? (b) How much energy (in joules and electron volts) does it deliver to the receptor cells? (c) To appreciate what a small amount of energy this is, calculate how fast a typical bacterium of mass 9.5 x 10-12 g would move if it had that much energyarrow_forwardYou would like to observe an E. coli bacterium that is 2.15 μm (micrometers) long. Because diffraction blurs an image, you would like to minimize the effects of diffraction by using a wavelength no larger than the object you are observing. For this problem, assume the wavelength is equal to the length of the bacterium. What is the energy of a photon with this wavelength? What is the energy of an electron with a de Broglie wavelength of this size? In terms of energy, which particles, photons or electrons, are the least likely to damage your sensitive biological sample? electrons? photons? they are the samearrow_forward
- To investigate the structure of 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 electron 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?arrow_forward(a) A certain X-ray photon has a wavelength of 18 nm. Calculate the frequency (υ) of this type of radiation. The speed of light, c = 2.998 x 108 m/s (b) Do you expect the frequency of photon of blue color light to be greater than, less than, or the same as the frequency of this X-ray photon? Explain your reasoning.arrow_forward(a) Calculate the wavelength of light in vacuum that has a frequency of 5.37 x 10¹5 Hz. nm (b) What is its wavelength in ethyl alcohol? nm (c) Calculate the energy of one photon of such light in vacuum. Express the answer in electron volts. eV (d) Does the energy of the photon change when it enters the ethyl alcohol? O The energy of the photon changes. O The energy of the photon does not change. Explain.arrow_forward
- (a) How many minutes does it take a photon to travel from the Sun to the Earth? 8.32 It can be useful to remember that light travels from the Sun to Earth in about 8.32 minutes. min (b) What is the energy in eV of a photon with a wavelength of 628 nm? 1.98 eV (c) What is the wavelength (in m) of a photon with an energy of 1.13 eV? 1.76*10**-6arrow_forward(a) How many minutes does it take a photon to travel from the Sun to the Earth? in minutes (b) What is the energy in eV of a photon with a wavelength of 533 nm? in eV (c) What is the wavelength (in m) of a photon with an energy of 1.03 eV? in metersarrow_forwardThe wavelengths of visible light range from approximately 400400 to 750 nm750 nm. Part (a) What is the minimum energy for a photon in this range? Give your answer in electron volts. Part (b) What is the maximum energy for a photon in this range? Give your answer in electron volts.arrow_forward
- A 75 mW laser produces a (polarized) beam of 595 nm light. This light reflects normally off an object that reflects 90 percent of the incident energy. How long does it take this laser to give the surface a momentum of 0.005 kgm/s If the rms electric field inside the beam is 1600 v/m, what is the radius of the beam?arrow_forwardWhat is the wavelength, in nm, of a photon with energy (a) 0.30 eV, (b) 3.0 eV, and (c) 30 eV? For each, is this wavelength visible light, ultraviolet, or infrared?arrow_forwardRecall that the threshold frequency (νthreshold) for a metal is related it the metal's work function (Φ) by Eminimum= Φ = hνthreshold. For a particular metal, Φ is 7.70×10-19 J. What is the longest wavelength of electromagnetic radiation that can eject an electron from the surface of a piece of the metal? In nm If light has a wavelength of 635 nm, what is the energy of this light expressed with units of kJ/mol? A beam of radiation has an energy of 2.95×102 kJ/mol. What is the wavelength of this light? In nmarrow_forward
arrow_back_ios
SEE MORE QUESTIONS
arrow_forward_ios
Recommended textbooks for you
- Principles of Physics: A Calculus-Based TextPhysicsISBN:9781133104261Author:Raymond A. Serway, John W. JewettPublisher:Cengage Learning
Principles of Physics: A Calculus-Based Text
Physics
ISBN:9781133104261
Author:Raymond A. Serway, John W. Jewett
Publisher:Cengage Learning