Concept explainers
(a)
Calculate the values for
(a)
Answer to Problem 21P
The values for
Explanation of Solution
Hydrogen atom is in the
Write the expression for normalized wave function for
Here,
Substitute
Substitute
Conclusion:
Thus, the values for
(b)
Calculate the values for
(b)
Answer to Problem 21P
The values for
Explanation of Solution
The value of square of magnitude of wave function is calculated below by subtituing in the expression.
Substitute
Conclusion:
Thus, the values for
(c)
Calculate the values for
(c)
Answer to Problem 21P
The values for
Explanation of Solution
Write the expression for
Substitute
Conclusion:
Thus, the values for
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Chapter 8 Solutions
Modern Physics, 3rd Edition
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- The hydrogen atom was initially at the state where n=3 and l=2. It then decays to a lower state releasing a photon. What are the possible photon energies(in [eV]) that may be observed?arrow_forward(a) How much energy is required to cause an electron in hydrogen to move from the n = 2 state to the n = 5 state? in J(b) Suppose the atom gains this energy through collisions among hydrogen atoms at a high temperature. At what temperature would the average atomic kinetic energy 3/2 * kBT be great enough to excite the electron? Here kB is Boltzmann's constant. in Karrow_forward(a) How much energy is required to cause an electron in hydrogen to move from the n = 2 state to the n = 5 state?in J(b) Suppose the atom gains this energy through collisions among hydrogen atoms at a high temperature. At what temperature would the average atomic kinetic energy 3/2 * kBT be great enough to excite the electron? Here kB is Boltzmann's constant. in Karrow_forward
- (a) How much energy is required to cause an electron in hydrogen to move from the n = 1 state to the n = 2 state? (b) If the electrons gain this energy by collision between hydrogen atoms in a high-temperature gas, find the minimum temperature of the heated hydrogen gas. The thermal energy of the heated atoms is given by 3kBTarrow_forwardA hydrogen atom initially in the n = 1 ground state absorbs a photon which excites the atom to the n = 3 state. Determine the frequency of the photon, in Hertz, (Hz).arrow_forwardSuppose a hydrogen atom is in the 2s state, with its wave function given by the equation below. Taking r = 0.90a0, calculate the following quantities: [refer to picture] (a) ψ2s(r) (b) |ψ2s(r)|^2 (c) P2s(r)arrow_forward
- Zirconium (Z = 40) has two electrons in an incomplete d subshell. (a) What are the values of n and ℓ, for each electron? (b) What are all possible values of mℓ, and ms ? (c) What is the electron configuration in the ground state of zirconium?arrow_forwardWhat is the probability that an electron in the 1s orbital will be within a 1.50 Å radius? ?1? = (1/ (?1/2 a03/2)) e-r/a0 and ∫ x2 ebx dx= ebx (x2/b - 2x/b2 + 2/b3 )arrow_forwardConsidering the Bohr’s model, given that an electron is initially located at the ground state (n=1n=1) and it absorbs energy to jump to a particular energy level (n=nxn=nx). If the difference of the radius between the new energy level and the ground state is rnx−r1=5.247×10−9rnx−r1=5.247×10−9, determine nxnx and calculate how much energy is absorbed by the electron to jump to n=nxn=nx from n=1n=1. A. nx=9nx=9; absorbed energy is 13.4321 eV B. nx=10nx=10; absorbed energy is 13.464 eV C. nx=8nx=8; absorbed energy is 13.3875 eV D. nx=20nx=20; absorbed energy is 13.566 eV E. nx=6nx=6; absorbed energy is 13.22 eV F. nx=2nx=2; absorbed energy is 10.2 eV G. nx=12nx=12; absorbed energy is 13.506 eV H. nx=7nx=7; absorbed energy is 13.322 eVarrow_forward
- Principles of Physics: A Calculus-Based TextPhysicsISBN:9781133104261Author:Raymond A. Serway, John W. JewettPublisher:Cengage Learning