PHYSICS F/SCI.+ENGR.,CHAPTERS 1-37
5th Edition
ISBN: 9780134378060
Author: GIANCOLI
Publisher: RENT PEARS
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Chapter 38, Problem 4Q
To determine
The reason for the baseball to have a well-defined position and speed, whereas an electron does not based on the uncertainty principle.
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Students have asked these similar questions
Calculate the uncertainty in the momentun of an electron laying in a state with uncertainty in its position of 5×10^10m
(Bonus 7 pts)
(a) Let's reconsider particle-in-a-box model (with 12 electrons) in question 1 by modifying a
rectangular particle-in-a-box. When the height of box in Q1 is reduced to a half (see below),
construct an energy-level diagram showing the relative energy ordering of the lowest 8
molecular orbitals when this cube is a xa x 0.5a. Label the levels in terms of their quantum
numbers and Eo (Eo = h2/8ma²). Be alert for degeneracies.
S
Fe
Fe
0.5a
E3D
111: 6 to
211=96
121=9E.
112: 136.
221-126.
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8m
h²
8m
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Bmaz
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(n} +
(0.5a)2
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+
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0-2592)
+ n + 42) = E (n² + n²² + 4 m²)
E = 120f6€ = GE
125.
Are we justified in using a nonrelativistic treatment for the speed of an electron in the hydrogen atom?
Note:please quickly give me this question SOLUTION ?
Chapter 38 Solutions
PHYSICS F/SCI.+ENGR.,CHAPTERS 1-37
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Similar questions
- Is it possible that when we measure the energy of a quantum particle in a box, the measurement may return a smaller value than the ground state energy? What is the highest value of the energy that we can measure for this particle?arrow_forward. Suppose a quanton's wavefunction at a given time is y(x) = A[1 + (x/a)2]-¹, where A is an unspecified constant and a = 4.0 nm. According to the table integrals dx √ [1 + (x/a)²]² = 1 + (x/a)²+2tan ¹ (2) If we were to perform an experiment to locate the quanton at this time, what would the probability of a result between x = 0 and x = 8.0 nm?arrow_forwardImagine playing baseball in a universe (not ours!) where the Planck constant is 0.60 J s and thus quantum physics affects macroscopic objects. What would be the uncertainty in the position of a 0.50 kg baseball that is moving at 20 m/s along an axis if the uncertainty in the speed is 1.0 m/s?arrow_forward
- The treatment of electrons in atoms must be a quantum treatment, but classical physics still works for baseballs. Where is the dividing line? Suppose we consider a spherical virus, with a diameter of 30 nm, constrained to exist in a long, narrow cell of length 1.0 μm. If we treat the virus as a particle in a box, what is the lowest energy level? Is a quantum treatment necessary for the motion of the virus?arrow_forwardWhat is the “central-field approximation” and why is it only an approximation?arrow_forwardWhy would it most likely be difficult to observe quantized orbital states for satellites orbiting the earth? On a macroscopic level, the orbital states do exist for satellites orbiting Earth but are too closely spaced for us to see. On a macroscopic level, the orbital states do not exist for satellites orbiting Earth. On a macroscopic level, we cannot control the amount of energy that we give to an artificial satellite and thus control its orbital altitude. On a macroscopic level, we cannot control the amount of energy that we give to an artificial satellite but we can control its orbital altitude.arrow_forward
- A 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_forwardHow does the uncertainty principle apply to a known stable atomic system that apparently has an infi nite lifetime? How well can we know the energy of such a system?arrow_forwardAn electron is trapped in a one-dimensional infinite well of the width 1angstrom. (i) calculate the lowest energy of the electron. (ii) Calculate the wavelength of the photon emitted when the electron makes transition from the first excited state to the ground state. (iii) In which region of the EM spectrum does this wavelength lie?arrow_forward
- Consider an electron in an infinite potential well size of a=0.1 nm. What is the ground energy of the electron? What is the energy required to put the electron at the third energy level?Calculate the wavelength of the photon that would provide this required energy? (Planck’s constant =6.6x10-34 J.s, electron mass = 9,11x10-31 kg)arrow_forwardGive an explanation why the measurement of energy for many-electron atoms is not accurately calculated using mathematical analytical methods, variation methods and perturbation methods !arrow_forwardFor a particle in a three-dimensional cubical box, what is the degeneracy (number of different quantum states with the same energy) of the energy levels (a) 3p2h2/2mL2 and (b) 9p2h2/2mL2?arrow_forward
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