Questions from Modern Physics

Q: For the sodium atom of Example 40.8, find

For the sodium atom of Example 40.8, find a. the ground-state energy; b. the wavelength of a photon emitted when the n = 4 to n = 3 transition occurs; c. the energy difference for any ∆n = 1 transit...

Q: For a particle in a three-dimensional cubical box, what

For 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. 3π2ħ2/2mL2 and b. 9π2ħ2/2mL2?

Q: The probability distributions for the harmonic-oscillator wave functions (see

The probability distributions for the harmonic-oscillator wave functions (see Figs. 40.27 and 40.28) begin to resemble the classical (Newtonian) probability distribution when the quantum number n beco...

Q: Consider states with angular momentum quantum number l = 2.

Consider states with angular momentum quantum number l = 2. a. In units of ħ, what is the largest possible value of Lz? b. In units of ħ, what is the value of L? Which is large...

Q: In a particular state of the hydrogen atom, the angle between

In a particular state of the hydrogen atom, the angle between the angular momentum vector L and the z-axis is θ = 26.6°. If this is the smallest angle for this particular value of the orbital quantum...

Q: A hydrogen atom is in a state that has Lz = 2ħ

A hydrogen atom is in a state that has Lz = 2ħ. In the semiclassical vector model, the angular momentum vector L for this state makes an angle θL = 63.4° with the +z-axis. a. What is the l quantum nu...

Q: Calculate, in units of ħ, the magnitude of the maximum

Calculate, in units of ħ, the magnitude of the maximum orbital angular momentum for an electron in a hydrogen atom for states with a principal quantum number of 2, 20, and 200. Compare each with the v...

Q: a. Make a chart showing all possible sets of quantum

a. Make a chart showing all possible sets of quantum numbers l and ml for the states of the electron in the hydrogen atom when n = 4. How many combinations are there? b. What are the energies of thes...

Q: a. How many different 5g states does hydrogen have?

a. How many different 5g states does hydrogen have? b. Which of the states in part (a) has the largest angle between L and the z-axis, and what is that angle? c. Which of the states in part (a) has...

Q: a. What is the probability that an electron in the 1s

a. What is the probability that an electron in the 1s state of a hydrogen atom will be found at a distance less than a/2 from the nucleus? b. Use the results of part (a) and of Example 41.4 to calcul...