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
Want to see more full solutions like this?
Chapter 8 Solutions
Modern Physics
- A hydrogen atom in an n=2 state absorbs a photon.What wavelength photons might be emitted by the atom following absorption?For your answer: You should find 10 total possible wavelengths, with the shortest being ~100 nm and the largest being ~1900nm. You should enumerate all of them.arrow_forwardHydrogen gas can be placed inside a strong magnetic field B=12T. The energy of 1s electron in hydrogen atom is 13.6 eV ( 1eV= 1.6*10 J ). a) What is a wavelength of radiation corresponding to a transition between 2p and 1s levels when magnetic field is zero? b) What is a magnetic moment of the atom with its electron initially in s state and in p state? c) What is the wavelength change for the transition from p- to s- if magnetic field is turned on?arrow_forward具 Hydrogen has a ground state energy of Eo = -13.6 eV. A helium atom (Z = 2) with only one electron will have a ground state energy of Selected answer will be automatically saved. For keyboard navigation, press up/down arrow keys to select an answer. Question 7 a E0/4. b C e Eo/2. Eo- d 25/3. 4E0/9.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_forwardThe 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 = 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_forwardThe magnitude of the orbital angular momentum in an excited state of hydrogen is 6.84 × 10-34 J ·s and the z com- ponent is 2.11 x 10-3ª J ·s. What are all the possible values of n, l, and mẹ for this state?arrow_forward
- Principles of Physics: A Calculus-Based TextPhysicsISBN:9781133104261Author:Raymond A. Serway, John W. JewettPublisher:Cengage Learning