PHYSICS F./SCI... W/MOD V.II W/KIT
4th Edition
ISBN: 9780134819884
Author: GIANCOLI
Publisher: PEARSON
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Chapter 37, Problem 49P
To determine
The proof for the fact that the proton has the shorter wavelength if an electron and a proton has the same nonrelativistic kinetic energy.
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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 kinetic
1) Calculate the wavelength of an electron in a TEM at 300 kV acceleration voltage (Consider the two cases with
and without relativistic effects)
(II) An electron has a de Broglie wavelength
A = 4.5 x 10-10 m. (a) What is its momentum? (b) What
is its speed? (c) What voltage was needed to accelerate it
from rest to this speed?
Chapter 37 Solutions
PHYSICS F./SCI... W/MOD V.II W/KIT
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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- Check Your Understanding What is de Broglie’s wavelength of a non-relativistic proton with a kinetic energy of 1.0 eV?arrow_forwardAt what velocity will an electron have a wavelength of 1.00 m?arrow_forwardDo the Balmer series and the Lyman series overlap? Why? Why not? (Hint: calculate the shortest Balmer line and the longest Lyman line.)arrow_forward
- Check Your Understanding Cut-off frequency for the photoelectric effect in some materials is 8.01013 Hz. When the incident light has a frequency of 121014 Hz. the stopping potential is measured as -0.16 V. Estimate a value of Planck’s constant from these data (in units J • s and eV • s ) and determine the percentage error of your estimation.arrow_forwardIf an electron and a proton are traveling at the same speed, which one has the shorter de Brogue wavelength?arrow_forwardShow that Planck’s constant has the dimensions of angular momentum.arrow_forward
- What is the kinetic energy of a 0.01-nm electron in a TEM?arrow_forwardWhat is the de Brogue wavelength of a proton whose kinetic energy is 2.0 MeV? 10.0 MeV?arrow_forwardWhat is the maximum kinetic energy of photoelectrons ejected from sodium by the incident radiation of wavelength 450 nm?arrow_forward
- (I) What is the wavelength of a neutron (m 1.67 x 10-27 kg) traveling at 8.5 × 10ª m/s? ||arrow_forward(5) The total power output from a star is 4.5 x 1026 W. Assuming that all the emitted radiation has a wavelength λ = 550 nm, calculate the number of photons that are emitted per second.arrow_forward4. (a) Calculate the de Broglie wavelength of An electron travelling at 4 x 106 m/s and (i) (ii) A car of mass 1.1 × 106 g travelling at 15 m/s. (b) Comment on the significance of the relative magnitude of your answers in part (a). Note: the diameter of an atom is on the order of 10-10 m.arrow_forward
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