Physics for Scientists and Engineers with Modern Physics
4th Edition
ISBN: 9780136139225
Author: Douglas C. Giancoli
Publisher: Prentice Hall
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Chapter 37, Problem 31P
(a)
To determine
The ratio of maximum change in photon’s wavelength to the photon’s initial wavelength if the photon is a visible light photon with
(b)
To determine
The ratio of maximum change in photon’s wavelength to the photon’s initial wavelength if the photon is an X-ray photon with
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(b) Calculate the de Broglie wavelength of an electron having a mass of 9.11
x 10-31 kg and a charge of 1.602 x 10-19 J with a Kinetic energy of 110 eV.
The value of the Planck’s constant is equal to 6.63 * 10-34 Js.
(b)
(i) Calculate the de Broglie wavelength of an electron having a mass
of 9.11 x 1031 kg and a charge of 1.602 x 10-19 J with a Kinetic
energy of 135 eV. The value of the Planck's constant is equal to
6.63 * 10-34 Js.
(ii) Assume that an electron is moving along the x-axis with a speed
of 3.66 x 106 m/s and with a precision of 0.50%. Calculate the
minimum uncertainty (as allowed by the uncertainty principle in
quantum theory) with which the position of the electron along the
X-axis simultaneously can be measured with the speed?
(4) (i) Light shining on a metal surface produces photoelectrons with a maximum kinetic energy of 2.0 eV. The light intensity is then doubled. Now what is the maximum kinetic energy of the photoelectrons, in eV?
(ii) The detector in an ordinary digital camera is made of silicon. This detector works by the photoelectric effect. The longest wavelength of light that an ordinary digital camera can detect has a wavelength of 1 micron (where 1 micron = 10^-6 m). What is the work function of silicon, in eV?
(iii) Infrared cameras don't use detectors made of silicon. For an infrared camera to detect infrared radiation with a wavelength of 22 microns, its detector must be made of a di erent material. What is the maximum possible work function of this material, in eV?
Chapter 37 Solutions
Physics for Scientists and Engineers with Modern Physics
Ch. 37.2 - Prob. 1AECh. 37.2 - Prob. 1BECh. 37.4 - Prob. 1CECh. 37.7 - Prob. 1DECh. 37.7 - Prob. 1EECh. 37.11 - Prob. 1FECh. 37 - Prob. 1QCh. 37 - Prob. 2QCh. 37 - Prob. 3QCh. 37 - Prob. 4Q
Ch. 37 - Prob. 5QCh. 37 - Prob. 6QCh. 37 - Prob. 7QCh. 37 - Prob. 8QCh. 37 - Prob. 9QCh. 37 - Prob. 10QCh. 37 - Prob. 11QCh. 37 - Prob. 12QCh. 37 - Prob. 13QCh. 37 - Prob. 14QCh. 37 - Prob. 15QCh. 37 - Prob. 16QCh. 37 - Prob. 17QCh. 37 - Prob. 18QCh. 37 - Prob. 19QCh. 37 - Prob. 20QCh. 37 - Prob. 21QCh. 37 - Prob. 22QCh. 37 - Prob. 23QCh. 37 - Prob. 24QCh. 37 - Prob. 25QCh. 37 - Prob. 26QCh. 37 - Prob. 27QCh. 37 - Prob. 28QCh. 37 - Prob. 1PCh. 37 - Prob. 2PCh. 37 - Prob. 3PCh. 37 - Prob. 4PCh. 37 - Prob. 5PCh. 37 - Prob. 6PCh. 37 - Prob. 7PCh. 37 - Prob. 8PCh. 37 - Prob. 9PCh. 37 - Prob. 10PCh. 37 - Prob. 11PCh. 37 - Prob. 12PCh. 37 - Prob. 13PCh. 37 - Prob. 14PCh. 37 - Prob. 15PCh. 37 - Prob. 16PCh. 37 - Prob. 17PCh. 37 - Prob. 18PCh. 37 - Prob. 19PCh. 37 - Prob. 20PCh. 37 - Prob. 21PCh. 37 - Prob. 22PCh. 37 - Prob. 23PCh. 37 - Prob. 24PCh. 37 - Prob. 25PCh. 37 - Prob. 26PCh. 37 - Prob. 27PCh. 37 - Prob. 28PCh. 37 - Prob. 29PCh. 37 - Prob. 30PCh. 37 - Prob. 31PCh. 37 - Prob. 32PCh. 37 - Prob. 33PCh. 37 - Prob. 34PCh. 37 - Prob. 35PCh. 37 - Prob. 36PCh. 37 - Prob. 37PCh. 37 - Prob. 38PCh. 37 - Prob. 39PCh. 37 - Prob. 40PCh. 37 - Prob. 41PCh. 37 - Prob. 42PCh. 37 - Prob. 43PCh. 37 - Prob. 44PCh. 37 - Prob. 45PCh. 37 - Prob. 46PCh. 37 - Prob. 47PCh. 37 - Prob. 48PCh. 37 - Prob. 49PCh. 37 - Prob. 50PCh. 37 - Prob. 51PCh. 37 - Prob. 52PCh. 37 - Prob. 53PCh. 37 - Prob. 54PCh. 37 - Prob. 55PCh. 37 - Prob. 56PCh. 37 - Prob. 57PCh. 37 - Prob. 58PCh. 37 - Prob. 59PCh. 37 - Prob. 60PCh. 37 - Prob. 61PCh. 37 - Prob. 62PCh. 37 - Prob. 63PCh. 37 - Prob. 64PCh. 37 - Prob. 65PCh. 37 - Prob. 66PCh. 37 - Prob. 67PCh. 37 - Prob. 68PCh. 37 - Prob. 69PCh. 37 - Prob. 70PCh. 37 - Prob. 71PCh. 37 - Prob. 72GPCh. 37 - Prob. 73GPCh. 37 - Prob. 74GPCh. 37 - Prob. 75GPCh. 37 - Prob. 76GPCh. 37 - Prob. 77GPCh. 37 - Prob. 78GPCh. 37 - Prob. 79GPCh. 37 - Prob. 80GPCh. 37 - Prob. 81GPCh. 37 - Prob. 82GPCh. 37 - Prob. 83GPCh. 37 - Prob. 84GPCh. 37 - Prob. 85GPCh. 37 - Prob. 86GPCh. 37 - Prob. 87GPCh. 37 - Prob. 88GPCh. 37 - Prob. 89GPCh. 37 - Prob. 90GPCh. 37 - Prob. 91GPCh. 37 - Prob. 92GPCh. 37 - Prob. 93GPCh. 37 - Show that the wavelength of a particle of mass m...Ch. 37 - Prob. 95GPCh. 37 - Prob. 96GPCh. 37 - Prob. 97GPCh. 37 - Prob. 98GPCh. 37 - Prob. 99GPCh. 37 - Prob. 100GP
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- (b) Evaluate the ratio of the de Broglie wavelength of electron to that of proton when (m₂=9.11 × 10-3¹ kg, mp=1.67 × 10-27 kg) (i) both have the same kinetic energy. (ii) The electron kinetic energy is 1000 eV, and the proton kineticarrow_forward(c) The energy of an ultraviolet light is 3.28 eV. (i) What is its wavelength? (Given: h=6.63✕10-34 Js ; e=1.602✕10-19 C). (ii) Based on the de Broglie's hypothesis, determine the velocity of the electron. (Given: h=6.63✕10-34 Js ; me=9.11✕10-31 kg).arrow_forward(i) Define the term ‘threshold frequency’ as used in photoelectric effect. (ii) Plot a graph showing the variation of photoelectric current as a function of anode potential for two light beams having the same frequency but different intensities I1 and I2 (I1 > I2 ).arrow_forward
- (A) Calculate the de Broglie wavelength for an electron (me = 9.11 × 10-31 kg) moving at 1.00 × 107 m/s.arrow_forward(i) Monochromatic light of frequency 6.0 × 1014 Hz is produced by a laser. The power emitted is 2.0 × 10-3 W. Estimate the number of photons emitted per second on an average by the source. (ii) Draw a plot showing the variation of photoelectric current versus the intensity of incident radiation on a given photosensitive surface.arrow_forward(a) If a photon and an electron each have the same energy of 20.0 eV, find the wavelength of each. (b) If a photon and an electron each have the same wavelength of 250 nm, find the energy of each. (c) You want to study an organic molecule that is about 250 nm long using either a photon or an electron microscope. Approximately what wavelength should you use and which probe, the electron or the photon, is likely to damage the molecule the least?arrow_forward
- (II) Show that the energy E (in electron volts) of a photon whose wavelength is A (nm) is given by 1.240 x 10° eV·nm E = λ (nm) Use at least 4 significant figures for values of h, c, e (see inside front cover).arrow_forwardWhat is the shortest-wavelength x-ray radiation that can be generated in an x-ray tube with an applied voltage of 50.0 kV? (b) Calculate the photon energy in eV.arrow_forwardAn x-ray tube has an applied voltage of 540 kV. (a) What is the most energetic x-ray photon it can produce? Express your answer in electron volts. (b)Find the wavelength (in nm) of such an x-ray.arrow_forward
- X-ray of wavelength 0.150 nm collides with an electron at rest. The scattered photon moves off at anangle of 85.0 0from the direction of the incident photon.(a) Calculate the Compton shift in wavelength. (b) Calculate the wavelength of the scattered photon.arrow_forwardFor x rays with wavelength 0.0300 nm, the m = 1 intensitymaximum for a crystal occurs when the angle u is35.8 . At what angle u does the m = 1 maximum occur when a beam of4.50 keV electrons is used instead? Assume that the electrons also scatterfrom the atoms in the surface plane of this same crystal.arrow_forward(i) Is an electron a particle? Is it a wave? Explain your answer citing relevant experimental evidence. Calculate the De-Broglie wavelength of an electron having a kinetic energy of 1000eV. Compare the result with wavelength of X-rays having the same energy.arrow_forward
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