Physics of Everyday Phenomena
9th Edition
ISBN: 9781259894008
Author: W. Thomas Griffith, Juliet Brosing Professor
Publisher: McGraw-Hill Education
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Question
Chapter 18, Problem 4SP
(a)
To determine
The momentum of the electron.
(b)
To determine
The de Broglie wavelength of the electron.
(c)
To determine
The comparison of the de Broglie wavelength of the electron to the visible light.
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An electron is confined to a rigid box that is 1.20nm long.
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A) Astronomers measure the peak wavelength of a nearby star to be 410 nm. What is the star's temperature?
B) How much energy does a single photon of light have at this wavelength?
C) An electron bound in an unknown metal requires 1.45E-19 ] of energy under the photoelectric effect
to become free of the metal. How much kinetic energy would it have if struck by the photon froft
part (b)?
D) What is the final speed of the elctron from part (c)?
A nonrelativistic particle of mass m and charge q is accelerated from rest through a potential difference Delta V. (a) Use conservation of energy to find a symbolic expression for the momentum of the particle in terms of m, q, and DV. (b) Write a symbolic expression for the de Broglie wavelength using the result of part (a). (c) If an electron and proton go through the same potential difference but in opposite directions, which particle will have the shorter wavelength?
Chapter 18 Solutions
Physics of Everyday Phenomena
Ch. 18 - Prob. 1CQCh. 18 - Prob. 2CQCh. 18 - Prob. 3CQCh. 18 - Prob. 4CQCh. 18 - Prob. 5CQCh. 18 - Prob. 6CQCh. 18 - Prob. 7CQCh. 18 - Prob. 8CQCh. 18 - Prob. 9CQCh. 18 - Prob. 10CQ
Ch. 18 - Prob. 11CQCh. 18 - Prob. 12CQCh. 18 - Prob. 13CQCh. 18 - Prob. 14CQCh. 18 - Prob. 15CQCh. 18 - Prob. 16CQCh. 18 - Prob. 17CQCh. 18 - Prob. 18CQCh. 18 - Prob. 19CQCh. 18 - Prob. 20CQCh. 18 - Prob. 21CQCh. 18 - Prob. 22CQCh. 18 - Prob. 23CQCh. 18 - Prob. 24CQCh. 18 - Prob. 25CQCh. 18 - Prob. 26CQCh. 18 - Prob. 27CQCh. 18 - Prob. 28CQCh. 18 - Prob. 29CQCh. 18 - Prob. 30CQCh. 18 - Prob. 31CQCh. 18 - Prob. 32CQCh. 18 - Prob. 33CQCh. 18 - Prob. 34CQCh. 18 - Prob. 35CQCh. 18 - Prob. 1ECh. 18 - Prob. 2ECh. 18 - If 112 g of silicon (Si) react completely with 64...Ch. 18 - Prob. 4ECh. 18 - Prob. 5ECh. 18 - How many electrons would be required to produce 12...Ch. 18 - Prob. 7ECh. 18 - Prob. 8ECh. 18 - Prob. 9ECh. 18 - Prob. 10ECh. 18 - Prob. 11ECh. 18 - Prob. 12ECh. 18 - An electron beam in a cathode-ray tube passes...Ch. 18 - Prob. 2SPCh. 18 - Prob. 3SPCh. 18 - Prob. 4SP
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- (a) Calculate the wavelength of a photon that has the same momentum as a proton moving at 1.00% of the speed of light. (b) What is the energy of the photon in MeV? (c) What is the kinetic energy of the proton in MeV?arrow_forwardAn electron in a box is in the ground state with energy 2.0 eV. (a) Find the width of the box. (b) How much energy is needed to excite the electron to its first excited state? (c) If the electron makes a transition from an excited state to the ground state with the simultaneous emission of 30.0-eV photon, find the quantum number of the excited state?arrow_forward(a) A -ray photon has a momentum of 8.001021kgm/s. What is its wavelength? (b) Calculate its energy in MeV.arrow_forward
- (a) Calculate the velocity of an electron that has a wavelength of 1.00 m. (b) Through what voltage must the electron be accelerated to have this velocity?arrow_forwardAn X-ray tube accelerates an electron with an applied voltage of 50 kV toward a metal target, (a) What is the shortest-wavelength X-ray radiation generated at the target? (b) Calculate the photon energy in eV. (c) Explain the relationship of the photon energy to the applied voltage.arrow_forwardA physicist is watching a 15-kg orangutan at a zoo swing lazily in a tire at the end of a rope. He (the physicist) notices that each oscillation takes 3.00 s and hypothesizes that the energy is quantized. (a) What is the difference in energy in joules between allowed oscillator states? (b) What is the value of n for a state where the energy is 5.00 J? (c) Can the quantization be observed?arrow_forward
- 1. An incoming light beam has frequency 9.7 x 1014 Hz. (Use h=6.626 x 10-34 J.s) a.) How much energy in Joules does it have? b.) If the photons of this light beam are absorbed by a free electron, how much kinetic energy and speed will the free electron have?arrow_forwardAt very low temperature, the de Broglie wavelengths of the atoms in a gas can become larger than the distance between atoms, which leads to new states of matter. In an early study, a gas of 23Na was cooled to 200 nK. What is the de Broglie wavelength of the sodium atoms at this temperature? To get a sense of scale, at everyday temperatures and pressures, the distance between air molecules is about 3 nm. How does the de Broglie wavelength compare to this distance? (The gas in the study was much more diffuse than this, but the atoms were close enough for some overlap.)arrow_forward
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