Question 1

Which of the following, in which n and m have integer values, is a correct formula for a wavelength emitted by a hydrogen atom?

Accepted Answer

The answer of Which of the following, in which n...

Question 2

What is the difference in frequency for spectral lines emitted by hydrogen for transitions from the n = 16 level to the n = 2 level and transitions from the n = 15 level to the n = 2 level? (R_H = 1.097 × 10⁷ m−¹.)

Accepted Answer

The frequency difference can be calculated using the Rydberg formula for hydrogen. The difference in frequency is given by Δf = R_H * c * (1/2^2 - 1/16^2) - R_H * c * (1/2^2 - 1/15^2), where c is the speed of light. This results in approximately 1.77 × 10^12 Hz.

Question 3

A hydrogen atom emits a photon of wavelength 657.7 nm. From what energy state to what lower energy state did the electron jump?

Accepted Answer

The answer of A hydrogen atom emits a photon of...

Question 4

A headwaiter at a restaurant decides to apply the exclusion principle to the seating of patrons. He will treat tables as sub-shells, and will only seat patrons if the number of the people to be seated adds up to a complete sub-shell. Of the numbers below, the number he would not be willing to seat at one table is

Accepted Answer

The answer of A headwaiter at a restaurant decides to...

Question 5

Quantum physics agrees with the classical physics limit when

Accepted Answer

This is known as the correspondence principle, where the predictions of quantum mechanics revert to those of classical mechanics when the quantum numbers become very large. In this case, when the difference in energy between adjacent quantized levels becomes vanishingly small, it effectively creates a continuous spectrum, resembling the classical limit. The other options are not necessarily true for the correspondence principle.

Question 6

Adam and Eve are contemplating the beauty of the hydrogen atom. Adam claims that the quantum states with a given value of the principal quantum number n can have any value of the orbital quantum number  . Eve says that the Snake told her that a state with a given value of  could have any value of n. Which one, if either, is correct, and why?

Accepted Answer

The answer of Adam and Eve are contemplating the beauty...

Question 7

The energy difference between the upper and lower levels in a certain laser is 1.9593 eV. What is the wavelength of the light emitted by the laser?

Accepted Answer

The answer of The energy difference between the upper and...

Question 8

What is the difference in wavelength for spectral lines emitted by hydrogen for transitions from the n = 16 level to the n = 2 level and transitions from the n = 15 level to the n = 2 level? (R_H = 1.097 × 10⁷ m−¹.)

Accepted Answer

The difference in wavelength can be calculated using the Rydberg formula for hydrogen. The wavelengths for transitions from n=16 to n=2 and n=15 to n=2 are calculated separately, and their difference is found to be approximately 8.1 × 10⁻¹⁰ m.

Question 9

Aline says that the magnetic moment of an atom originates in the orbital angular momentum of the electron. Bevis says that it comes from the electron spin. Which one, if either, is correct, and why?

Accepted Answer

The magnetic moment of an atom arises from both the orbital angular momentum and the spin of the electrons. The total magnetic moment of an atom is the sum of the magnetic moments of all the individual electrons in the atom, which includes both their orbital and spin contributions. Therefore, both Aline and Bevis are partially correct.

Question 10

The number of electrons in the n = 4,  = 2 subshell in strontium (Z = 38) is ____ the number of electrons in the n =4,  =2 subshell in barium (Z = 56).

Accepted Answer

The number of electrons in subshell 11eb6adc_ed97_cd52_b0cf_038d667614dc_TB8245_11 = 2 in both strontium and barium is determined by the principal quantum number (n) and the azimuthal quantum number (l), which are the same for both elements. The number of electrons in this subshell is equal to 4(11eb6adc_ed97_cd52_b0cf_038d667614dc_TB8245_11)^2 = 4(2)^2 = 16 for both elements. Therefore, the number of electrons in this subshell is equal in both strontium and barium, and the answer is choice C.

Question 11

In the Bohr model of the hydrogen atom, the total energy of the electron-proton system is

Accepted Answer

The answer of In the Bohr model of the hydrogen...

Question 12

Suppose a beam of electrons is incident on a collection of hydrogen atoms, all of which are in the lowest energy state (n = 1). What is the minimum energy the electrons can have if they are to excite the hydrogen atoms into the n = 2 state?

Accepted Answer

The answer of Suppose a beam of electrons is incident...

Question 13

In an atom that has an electron in a sub-shell for which  = 4, with respect to the magnetic field vector  the magnetic moment vector  of the electron is allowed to be oriented in

Accepted Answer

The answer of In an atom that has an electron...

Question 14

In an allowed electron transition in a hydrogen atom,

Accepted Answer

The answer of In an allowed electron transition in a...

Question 15

In the operation of a laser

Accepted Answer

In the operation of a laser, stimulated emission occurs (A), there is a population inversion (B), and the excited state is typically metastable (C), making these statements correct. However, statement D is incorrect because the photons emitted during laser operation are a result of electrons transitioning from a higher energy state to a lower one, not necessarily to the ground state.

Question 16

All quantum states forming a shell have the same

Accepted Answer

The principal quantum number (n) determines the energy level of an electron in an atom. All quantum states forming a shell have the same value of n, which means they have the same energy level. The other quantum numbers (l, ml, ms) determine the shape, orientation, and spin of the electron's orbital, and can vary within a shell.

Question 17

In terms of a₀, where a₀ = 0.0529 nm, the radii of the allowed orbits in the Bohr model of the hydrogen atom are given by r_n =

Accepted Answer

The answer of In terms of a₀, where a₀ =...

Question 18

Zeke says that the magnitude of the orbital angular momentum in the hydrogen atom has the value L =  . Ruth says that the maximum magnitude of the projection of the angular momentum along the direction of a constant magnetic field vector  is  . Which one, if either, is correct, and why?

Accepted Answer

The answer of Zeke says that the magnitude of the...

Question 19

All quantum states forming a sub-shell have the same

Accepted Answer

The answer of All quantum states forming a sub-shell have...

Quiz 42: Atomic Physics

Which of the following, in which n and m have integer values, is a correct formula for a wavelength emitted by a hydrogen atom?

What is the difference in frequency for spectral lines emitted by hydrogen for transitions from the n = 16 level to the n = 2 level and transitions from the n = 15 level to the n = 2 level? (R_H = 1.097 × 10⁷ m−¹.)

A hydrogen atom emits a photon of wavelength 657.7 nm. From what energy state to what lower energy state did the electron jump?

Quantum physics agrees with the classical physics limit when

The energy difference between the upper and lower levels in a certain laser is 1.9593 eV. What is the wavelength of the light emitted by the laser?

What is the difference in wavelength for spectral lines emitted by hydrogen for transitions from the n = 16 level to the n = 2 level and transitions from the n = 15 level to the n = 2 level? (R_H = 1.097 × 10⁷ m−¹.)

Aline says that the magnetic moment of an atom originates in the orbital angular momentum of the electron. Bevis says that it comes from the electron spin. Which one, if either, is correct, and why?

The number of electrons in the n = 4, = 2 subshell in strontium (Z = 38) is ____ the number of electrons in the n =4, =2 subshell in barium (Z = 56) .

In the Bohr model of the hydrogen atom, the total energy of the electron-proton system is

Suppose a beam of electrons is incident on a collection of hydrogen atoms, all of which are in the lowest energy state (n = 1). What is the minimum energy the electrons can have if they are to excite the hydrogen atoms into the n = 2 state?

In an atom that has an electron in a sub-shell for which = 4, with respect to the magnetic field vector the magnetic moment vector of the electron is allowed to be oriented in

In an allowed electron transition in a hydrogen atom,

In the operation of a laser

All quantum states forming a shell have the same

In terms of a₀, where a₀ = 0.0529 nm, the radii of the allowed orbits in the Bohr model of the hydrogen atom are given by r_n =

Zeke says that the magnitude of the orbital angular momentum in the hydrogen atom has the value L = . Ruth says that the maximum magnitude of the projection of the angular momentum along the direction of a constant magnetic field vector is . Which one, if either, is correct, and why?

All quantum states forming a sub-shell have the same

Quiz 42: Atomic Physics

Which of the following, in which n and m have integer values, is a correct formula for a wavelength emitted by a hydrogen atom?

What is the difference in frequency for spectral lines emitted by hydrogen for transitions from the n = 16 level to the n = 2 level and transitions from the n = 15 level to the n = 2 level? (RH = 1.097 × 107 m−1.)

A hydrogen atom emits a photon of wavelength 657.7 nm. From what energy state to what lower energy state did the electron jump?

Quantum physics agrees with the classical physics limit when

The energy difference between the upper and lower levels in a certain laser is 1.9593 eV. What is the wavelength of the light emitted by the laser?

What is the difference in wavelength for spectral lines emitted by hydrogen for transitions from the n = 16 level to the n = 2 level and transitions from the n = 15 level to the n = 2 level? (RH = 1.097 × 107 m−1.)

Aline says that the magnetic moment of an atom originates in the orbital angular momentum of the electron. Bevis says that it comes from the electron spin. Which one, if either, is correct, and why?

The number of electrons in the n = 4, = 2 subshell in strontium (Z = 38) is ____ the number of electrons in the n =4, =2 subshell in barium (Z = 56) .

In the Bohr model of the hydrogen atom, the total energy of the electron-proton system is

Suppose a beam of electrons is incident on a collection of hydrogen atoms, all of which are in the lowest energy state (n = 1). What is the minimum energy the electrons can have if they are to excite the hydrogen atoms into the n = 2 state?

In an atom that has an electron in a sub-shell for which = 4, with respect to the magnetic field vector the magnetic moment vector of the electron is allowed to be oriented in

In an allowed electron transition in a hydrogen atom,

In the operation of a laser

All quantum states forming a shell have the same

In terms of a0, where a0 = 0.0529 nm, the radii of the allowed orbits in the Bohr model of the hydrogen atom are given by rn =

Zeke says that the magnitude of the orbital angular momentum in the hydrogen atom has the value L = . Ruth says that the maximum magnitude of the projection of the angular momentum along the direction of a constant magnetic field vector is . Which one, if either, is correct, and why?

All quantum states forming a sub-shell have the same

What is the difference in frequency for spectral lines emitted by hydrogen for transitions from the n = 16 level to the n = 2 level and transitions from the n = 15 level to the n = 2 level? (R_H = 1.097 × 10⁷ m−¹.)

What is the difference in wavelength for spectral lines emitted by hydrogen for transitions from the n = 16 level to the n = 2 level and transitions from the n = 15 level to the n = 2 level? (R_H = 1.097 × 10⁷ m−¹.)

In terms of a₀, where a₀ = 0.0529 nm, the radii of the allowed orbits in the Bohr model of the hydrogen atom are given by r_n =