Essential University Physics
4th Edition
ISBN: 9780134988566
Author: Wolfson, Richard
Publisher: Pearson Education,
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Chapter 35, Problem 42P
To determine
The comparison of well’s width.
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An electron is trapped in a one-dimensional infinite potential well. For what (a) higher quantum number and (b) lower quantum number is the corresponding energy difference equal to the energy of the n9 level? (c) Can a pair of adjacent levels have an energy difference equal to the energy of the n4?
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Chapter 35 Solutions
Essential University Physics
Ch. 35.1 - Prob. 35.1GICh. 35.2 - Prob. 35.2GICh. 35.3 - Prob. 35.3GICh. 35.3 - Prob. 35.4GICh. 35.3 - Prob. 35.5GICh. 35.4 - Prob. 35.6GICh. 35 - Prob. 1FTDCh. 35 - Prob. 2FTDCh. 35 - Prob. 3FTDCh. 35 - Prob. 4FTD
Ch. 35 - Prob. 5FTDCh. 35 - Prob. 6FTDCh. 35 - Prob. 7FTDCh. 35 - What did Einstein mean by his re maxi, loosely...Ch. 35 - Prob. 9FTDCh. 35 - Prob. 11ECh. 35 - Prob. 12ECh. 35 - Prob. 13ECh. 35 - Prob. 14ECh. 35 - Prob. 15ECh. 35 - Prob. 16ECh. 35 - Prob. 17ECh. 35 - Prob. 18ECh. 35 - Prob. 19ECh. 35 - Prob. 20ECh. 35 - Prob. 21ECh. 35 - Prob. 22ECh. 35 - Prob. 23ECh. 35 - Prob. 24ECh. 35 - Prob. 28ECh. 35 - Prob. 29ECh. 35 - Prob. 30ECh. 35 - Prob. 31ECh. 35 - Prob. 32ECh. 35 - Prob. 33ECh. 35 - Prob. 34ECh. 35 - Prob. 35ECh. 35 - Prob. 36PCh. 35 - Prob. 37PCh. 35 - Prob. 38PCh. 35 - Prob. 39PCh. 35 - Prob. 40PCh. 35 - Prob. 41PCh. 35 - Prob. 42PCh. 35 - Prob. 43PCh. 35 - Prob. 44PCh. 35 - Prob. 45PCh. 35 - Prob. 46PCh. 35 - Prob. 47PCh. 35 - Prob. 48PCh. 35 - Prob. 49PCh. 35 - Prob. 50PCh. 35 - Prob. 51PCh. 35 - Prob. 52PCh. 35 - Prob. 53PCh. 35 - Prob. 54PCh. 35 - Prob. 55PCh. 35 - Prob. 56PCh. 35 - Prob. 57PCh. 35 - Prob. 58PCh. 35 - Prob. 59PCh. 35 - Prob. 60PCh. 35 - Prob. 61PCh. 35 - Prob. 62PPCh. 35 - Prob. 63PPCh. 35 - Prob. 64PPCh. 35 - Prob. 65PP
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- An electron is confined to a one-dimensional region in which its ground-state (n = 1) energy is 1.95 eV. What is the length L of the region? and what energy input is required to promote the electron to its first excited state?arrow_forwardThe ground-state energy of an electron trapped in a onedimensional infinite potential well is 2.6 eV.What will this quantity be if the width of the potential well is doubled?arrow_forwardAn electron is trapped in a one-dimensional infinite potential well that is 200 pm wide; the electron is in its ground state. What is the probability that you can detect the electron in an interval of width öx = 5.0 pm centered at x = 100 pm? (Hint: The interval öx is so narrow that you can take the probability density to be constant within it.) Number i Unitsarrow_forward
- An electron is trapped in an infinitely deep potential well of width L = 1 nm. By solving the Schrödinger equation for this potential find the energy levels and calculate the wavelength of photon emitted from the transition E4 E3.arrow_forwardAn electron with energy E= +4.80 eV is put in an infinite potential well with U(x) =infinity for x<0 and x>L. Of course, U(x) = 0 for 0<x<L. Find the largest amount of time that the electron can exist outside the box. Draw and Label a figure.arrow_forwardWhat is the ground-state energy of (a) an electron and (b) a proton if each is trapped in a one-dimensional infinite potential well that is 200 pm wide?arrow_forward
- Chapter 39, Problem 015 An electron is trapped in a one-dimensional infinite potential well that is 150 pm wide; the electron is in its ground state. What is the probability that you can detect the electron in an interval of width dx = 5.0 pm centered at x = 56 pm? (Hint: The interval dx is so narrow that you can take the probability density to be constant within it.) Number Unitsarrow_forwardThe potential energy Uis zero in the interval 0arrow_forwardWhat is the ground-state energy of (a) an electron and (b) a proton if each is trapped in a one-dimensional infinite potential well that is 273 pm wide? (a) Number 8.083824566 Units eV (b) Number 4.401408127 Units eVarrow_forwardThe lowest energy of a particle in an infinite one-dimensional well is 4,4 eV. if the width of the well is doubled, what is its lowest energy?arrow_forwardAn electron trapped in a one-dimensional infinitely deep potential well with a width of 250 pm is excited from the first excited state to the third excited state. What energy must the electron acquire for this quantum jump to occur? The electron then emits a photon and transitions to the ground state. Determine the wavelength and momentum of the emitted photon.arrow_forwardAn electron confined to a box has the ground state energy of 2.5 eV. What is the width of the box?arrow_forwardarrow_back_iosSEE MORE QUESTIONSarrow_forward_ios
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