Bundle: Principles of Physics: A Calculus-Based Text, 5th + WebAssign Printed Access Card for Serway/Jewett's Principles of Physics: A Calculus-Based Text, 5th Edition, Multi-Term
5th Edition
ISBN: 9781133422013
Author: Raymond A. Serway; John W. Jewett
Publisher: Cengage Learning
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Question
Chapter 28, Problem 10OQ
To determine
The position where the particle is more likely to be found.
Expert Solution & Answer
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Students have asked these similar questions
An electron is trapped in a one-dimensional region
of length 1.00 x 10-10 m (a typical atomic diameter).
(a) Find the energies of the ground state and first two
excited states. (b) How much energy must be supplied
to excite the electron from the ground state to the sec-
ond excited state? (c) From the second excited state, the
electron drops down to the first excited state. How much
energy is released in this process?
Electrons are fired at a rectangular potential energy barrier, once every 197 ms. If the barrier is 2.55 nm thick and has a height
that exceeds the energy of the incident electrons by exactly 762 meV, how long on average would you expect to wait for one
electron to pass through the barrier?
average wait: 19.38 x105
Incorrect
The energies in a 2D particle-in-a-box are given by
h²
8mL 2
in which the box is a square enclosure with Lx = Ly = L, and nx, ny = 1, 2, 3,... .
(a) If the particle is an electron and L = 300 pm (assume three significant figures), find the value of the lowest energy
level in units of 10-18 J (that is, if the energy is 5.00 × 10-18 J, you would report it as "5.00").
E
n, n
(n₂ ² + n₂²)
y
x y
Chapter 28 Solutions
Bundle: Principles of Physics: A Calculus-Based Text, 5th + WebAssign Printed Access Card for Serway/Jewett's Principles of Physics: A Calculus-Based Text, 5th Edition, Multi-Term
Ch. 28.1 - Prob. 28.1QQCh. 28.2 - Prob. 28.2QQCh. 28.2 - Prob. 28.3QQCh. 28.2 - Prob. 28.4QQCh. 28.5 - Prob. 28.5QQCh. 28.5 - Prob. 28.6QQCh. 28.6 - Prob. 28.7QQCh. 28.10 - Prob. 28.8QQCh. 28.10 - Prob. 28.9QQCh. 28.13 - Prob. 28.10QQ
Ch. 28 - Prob. 1OQCh. 28 - Prob. 2OQCh. 28 - Prob. 3OQCh. 28 - Prob. 4OQCh. 28 - Prob. 5OQCh. 28 - Prob. 6OQCh. 28 - Prob. 7OQCh. 28 - Prob. 8OQCh. 28 - Prob. 9OQCh. 28 - Prob. 10OQCh. 28 - Prob. 11OQCh. 28 - Prob. 12OQCh. 28 - Prob. 13OQCh. 28 - Prob. 14OQCh. 28 - Prob. 15OQCh. 28 - Prob. 16OQCh. 28 - Prob. 17OQCh. 28 - Prob. 18OQCh. 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. 10CQCh. 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. 1PCh. 28 - Prob. 2PCh. 28 - Prob. 3PCh. 28 - Prob. 4PCh. 28 - Prob. 6PCh. 28 - Prob. 7PCh. 28 - Prob. 8PCh. 28 - Prob. 9PCh. 28 - Prob. 10PCh. 28 - Prob. 11PCh. 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. 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. 58PCh. 28 - Prob. 59PCh. 28 - Prob. 60PCh. 28 - Prob. 61PCh. 28 - Prob. 62PCh. 28 - Prob. 63PCh. 28 - Prob. 64PCh. 28 - Prob. 65PCh. 28 - Prob. 66PCh. 28 - Prob. 67PCh. 28 - Prob. 68PCh. 28 - Prob. 69PCh. 28 - Prob. 70PCh. 28 - Prob. 71PCh. 28 - Prob. 72PCh. 28 - Prob. 73PCh. 28 - Prob. 74P
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Similar questions
- If the energy of the first excited state of the electron in the box is 25.0 eV, what is the width of the box?arrow_forward21. A particle with mass m is confined in a finite square well with the same height and length of 6E1-IDW. The particle has a ground state energy of E1-IDW = 3.57EV. If the particle transitioned from the second excited state to the first excited state, what is the wavelength of the photon emitted? (Note that Uo = 6E1-DW.) Consider replacing the system with a harmonic oscillator potential with angular frequency o = 1.25 x 1015 rad/s? What is the wavelength of the emitted photon if the particle transitions from the second excited state to the first excited state? State (n) Finite Square Well 1 0.625 E1-IDW 2 2.43 E1-IDW 5.09 E1-IDWarrow_forwardWhat is the lowest energy level, in electronvolts (eV), of an electron in a one-dimensional atom size box, 0.327 nm in width? lowest energy level: Find the lowest energy level, in units of a million electronvolts (MeV), of a proton in a one-dimensional nucleus size box, 1.21 x 10-¹4 m in width? lowest energy level: eV MeVarrow_forward
- What is the lowest energy level, in electronvolts (eV), of an electron in a one-dimensional atom size box, 0.327 nm in width? lowest energy level: 3.54 Find the lowest energy level, in units of a million electronvolts (MeV), of a proton in a one-dimensional nucleus size box, 1.21 x 10-14 m in width? lowest energy level: Incorrect eV MeVarrow_forwardFor the particle in the box in the base state, calculate the quantities <x> and <Px> :arrow_forwardAn electron is trapped in a one-dimensional box that is 501 nm wide. Initially, it is in the n = 3 energy level but, after a photon is absorbed, the electron is in the n = 6 energy level. What was the wavelength of the absorbed photon? wavelength: .0306 Eventually, the electron ends up in the ground state. As it does so, one or more photons are emitted during those transitions. Find the wavelengths of the least energetic and most energetic photons that might be emitted during all the possible transitions to the ground state. wavelength of least energetic photon: wavelength of most energetic photon: .0753 Incorrect .0709 m Incorrect m Earrow_forward
- Radius of an atomic nucleus is of the order 2.2 fm. What is the minimum energy that an electron should have to be found inside the atomic nucleus? Is this possible in reality? Explain.arrow_forwardElectrons are fired at a rectangular potential energy barrier, once every 149 ms. If the barrier is 2.55 nm thick and has a height that exceeds the energy of the incident electrons by exactly 712 meV, how long on average would you expect to wait for one electron to pass through the barrier?arrow_forwardA particle is in a box of length L. Suddenly, the length of the box is increased to 2L. What happens to the energy levels as shown? (a) nothing; they are unaffected. (b) They move farther apart. (c) They move closer together.arrow_forward
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