COLLEGE PHYS. VOL 1 LLF W/MODMAST >IC<
10th Edition
ISBN: 9781323149454
Author: YOUNG
Publisher: PEARSON C
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Chapter 29, Problem 6CQ
To determine
Can the total
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What is the maximum possible angular momentum L of a hydrogen atom if its energy is -0.544 eV?
Your answer should be written as a multiple of ℏ.
The wavefunction for an electron in the Hydrogen atom is provided in figure 1, where B is a constant, and a0 is the Bohr radius.
By inspection and using the angular part of the wavefunction, identify the value of the quantum numbers l and ml, then operate on this wavefunction with Lˆz, and use your result to verify the value of ml identified.
Describe the wave functions for the atom, and note how this necessitates the creation of new variables.
Chapter 29 Solutions
COLLEGE PHYS. VOL 1 LLF W/MODMAST >IC<
Ch. 29 - Prob. 1CQCh. 29 - Prob. 2CQCh. 29 - Prob. 3CQCh. 29 - Prob. 4CQCh. 29 - Prob. 5CQCh. 29 - Prob. 6CQCh. 29 - Prob. 7CQCh. 29 - Prob. 8CQCh. 29 - Prob. 9CQCh. 29 - Prob. 10CQ
Ch. 29 - Prob. 1MCPCh. 29 - Prob. 2MCPCh. 29 - Prob. 3MCPCh. 29 - Prob. 4MCPCh. 29 - Prob. 5MCPCh. 29 - Prob. 6MCPCh. 29 - Prob. 7MCPCh. 29 - Prob. 8MCPCh. 29 - Prob. 9MCPCh. 29 - Prob. 10MCPCh. 29 - Prob. 1PCh. 29 - Prob. 2PCh. 29 - Prob. 3PCh. 29 - Prob. 4PCh. 29 - Prob. 5PCh. 29 - What is the ratio of the number of different 3d...Ch. 29 - Prob. 7PCh. 29 - Prob. 8PCh. 29 - Prob. 9PCh. 29 - Prob. 10PCh. 29 - For bromine (Z = 35), make a list of the number of...Ch. 29 - (a) Write out the electron configuration (1s2 2s2,...Ch. 29 - Prob. 13PCh. 29 - Prob. 14PCh. 29 - Prob. 15PCh. 29 - Prob. 16PCh. 29 - Prob. 17PCh. 29 - Prob. 18PCh. 29 - Prob. 19PCh. 29 - Prob. 20PCh. 29 - Prob. 21PCh. 29 - Prob. 22PCh. 29 - Prob. 23PCh. 29 - Prob. 24PCh. 29 - Prob. 25PCh. 29 - Prob. 26PCh. 29 - Prob. 27GPCh. 29 - Prob. 28GPCh. 29 - An electron has spin angular momentum and orbital...Ch. 29 - Prob. 30GPCh. 29 - Prob. 31GPCh. 29 - Prob. 32GPCh. 29 - Prob. 33GPCh. 29 - Prob. 34GPCh. 29 - Prob. 35GPCh. 29 - Prob. 36GPCh. 29 - Prob. 37GPCh. 29 - Prob. 38GPCh. 29 - Prob. 39PPCh. 29 - Prob. 40PPCh. 29 - Prob. 41PPCh. 29 - Prob. 42PP
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Similar questions
- If we have a hydrogen atom with its electron in the d state? Then the principal quantum number is n is 2. (True or False?) Justify your answer.arrow_forwardCalculate the probability that the electron in the hydrogen atom, in its ground state, will be found between spherical shells whose radii are a and 2a, where a is the Bohr radius.arrow_forwardFor what value of the principal quantum number n would the effective radius, as shown in a probability density dot plot for the hydrogen atom, be 1.0 mm? Assume that l has its maximum value of n - 1.arrow_forward
- List the possible sets of quantum numbers for electrons in the 3d subshellarrow_forwardA simple illustration of the variation method is provided by the hydrogen atom in the 1s state. Let us assume a form of the trial wave function ψ=e–br where b is a constant. For hydrogen atom, V=-e2/r, so the Hamiltonian operator is Ĥ=-h2/8π2m V2- e2/r.The energy depends on r for the 1s state of the hydrogen atom so the angular portion of the Laplacian can be omitted and replaced by the factor 4π after integration. Therefore, the radial portion of V2=1/r2 (∂/∂r) r2 ∂/∂r. Solve the energy minimum of the hydrogen atom, E = -2π2 me4/h2.arrow_forwardConsider hydrogen in the ground state, 100 . (a) Use the derivative to determine the radial position for which the probability density, P(r), is a maximum. (b) Use the integral concept to determine the average radial position. (This is called the expectation value of the electrons radial position.) Express your answers into terms of the Bohr radius, a0. Hint: The expectation value is the just average value, (c) Why are these values different?arrow_forward
- Write the election configuration for iron.arrow_forwardIf the magnetic moment in the preceding problem is doubled, what happens to the frequency of light produced in a transition from a spin-up to spin-down state?arrow_forwardWrite an expression for the total number of states with orbital angular momentum l.arrow_forward
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