Question 1

What value of wavelength is associated with the Lyman series for n = 2? (RH = 1.097 × 107 m−1)

Accepted Answer

A) 8.2 × 106 m 
B) 1.2 × 10−7 m 
C) 2.7 × 106 m 
D) 3.6 × 10−7 m 
E) 8.8 × 10−7 m 
A) 8.2 × 106 m 
B) 1.2 × 10−7 m 
C) 2.7 × 106 m 
D) 3.6 × 10−7 m 
E) 8.8 × 10−7 m

Question 2

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 =

Accepted Answer

A)    . 
B)    . 
C)    . 
D) na0. 
E) n2a0. 
A)    . 
B)    . 
C)    . 
D) na0. 
E) n2a0.

Question 3

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

A) Aline,because only atoms,not electrons,can have angular momentum. 
B) Bevis,because only atoms,not electrons,can have angular momentum. 
C) Neither,because electron spin and orbital angular momentum always cancel exactly. 
D) Neither,because the magnetic moment of an atom comes only from the spin of the nucleus. 
E) Both,because both the orbital angular momentum and the spins of the electrons contribute to the magnetic moment of an atom. 
A) Aline,because only atoms,not electrons,can have angular momentum. 
B) Bevis,because only atoms,not electrons,can have angular momentum. 
C) Neither,because electron spin and orbital angular momentum always cancel exactly. 
D) Neither,because the magnetic moment of an atom comes only from the spin of the nucleus. 
E) Both,because both the orbital angular momentum and the spins of the electrons contribute to the magnetic moment of an atom.

Question 4

What angle does the orbital angular momentum make with the z axis of a hydrogen atom in the state n = 3,  
= 2,  
= −1?

Accepted Answer

A) −66° 
B) 66° 
C) 24° 
D) 114° 
E) 73° 
A) −66° 
B) 66° 
C) 24° 
D) 114° 
E) 73°

Question 5

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

A) 2. 
B) 4. 
C) 6. 
D) 10. 
E) 14. 
A) 2. 
B) 4. 
C) 6. 
D) 10. 
E) 14.

Question 6

A hydrogen atom in the 4f state has a total angular momentum (in terms of  ) of magnitude

Accepted Answer

A)   
B) 3 
C) 6 
D) 3. 
E) 12 
A)   
B) 3 
C) 6 
D) 3. 
E) 12

Question 7

In the operation of a laser

Accepted Answer

A) stimulated emission occurs. 
B) there is a population inversion. 
C) the excited state will tend to be metastable. 
D) the photons emitted will have transitioned to the ground state. 
E) For the answers (a), (b), (c),and (d),three are correct and one is incorrect. 
A) stimulated emission occurs. 
B) there is a population inversion. 
C) the excited state will tend to be metastable. 
D) the photons emitted will have transitioned to the ground state. 
E) For the answers (a), (b), (c),and (d),three are correct and one is incorrect.

Question 8

If P(r)is the radial probability density function for an electron in the ground state of a hydrogen atom,the most probable value for r can be found from

Accepted Answer

A) dP/dt 
B) dP/dr 
C)    
D)    
E) d2P/dr2 
A) dP/dt 
B) dP/dr 
C)    
D)    
E) d2P/dr2

Question 9

One of the main problems with the Bohr model of the hydrogen atom when compared with the results of the methods of quantum mechanics used to describe atoms,was that the Bohr model predicted

Accepted Answer

A) the ground state angular momentum was L = 1   . 
B) the frequency of the radiation emitted when an electron "jumps" from one allowed orbit to another was hf = Ei − Ef. 
C) the potential energy function for the hydrogen atom was given by V(r)= −ke2/r. 
D) the energy of the ground state of the hydrogen atom was En = −13.6 eV. 
A) the ground state angular momentum was L = 1   . 
B) the frequency of the radiation emitted when an electron "jumps" from one allowed orbit to another was hf = Ei − Ef. 
C) the potential energy function for the hydrogen atom was given by V(r)= −ke2/r. 
D) the energy of the ground state of the hydrogen atom was En = −13.6 eV.

Question 10

Forbidden transitions and selection rules suggest that

Accepted Answer

A) a photon has linear momentum. 
B) a photon has energy. 
C) a photon has angular momentum. 
D) a photon has parity. 
E) a photon has mass. 
A) a photon has linear momentum. 
B) a photon has energy. 
C) a photon has angular momentum. 
D) a photon has parity. 
E) a photon has mass.

Question 11

Quantum physics agrees with the classical physics limit when

Accepted Answer

A) the total angular momentum is a small multiple of   . 
B) the total energy is a small multiple of the energy in the lowest quantized state. 
C) the difference in energy between adjacent quantized levels becomes vanishingly small. 
D) all electron spins are paired so that L = 0. 
E) there is a vacancy in an inner level in the atom. 
A) the total angular momentum is a small multiple of   . 
B) the total energy is a small multiple of the energy in the lowest quantized state. 
C) the difference in energy between adjacent quantized levels becomes vanishingly small. 
D) all electron spins are paired so that L = 0. 
E) there is a vacancy in an inner level in the atom.

Question 12

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

A) any direction. 
B)    discrete directions 
C)    − 1 discrete directions. 
D)    + 1 discrete directions. 
E) 2   + 1 discrete directions. 
A) any direction. 
B)    discrete directions 
C)    − 1 discrete directions. 
D)    + 1 discrete directions. 
E) 2   + 1 discrete directions.

Question 13

The energy needed to remove an electron from the first excited state of a Li2+ ion is

Accepted Answer

A) 53 eV 
B) 31 eV 
C) 92 eV 
D) 122 eV 
E) 61 eV 
A) 53 eV 
B) 31 eV 
C) 92 eV 
D) 122 eV 
E) 61 eV

Question 14

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 15

Which of the following statements is true?

Accepted Answer

A)    can never be perpendicular to   . 
B)    can be aligned parallel to   . 
C)    must be perpendicular to   . 
D)    can never be aligned parallel to   . 
A)    can never be perpendicular to   . 
B)    can be aligned parallel to   . 
C)    must be perpendicular to   . 
D)    can never be aligned parallel to   .

Question 16

The allowed values of n for the Li2+ ion are

Accepted Answer

A) 1 to ∞ 
B) 2 to ∞ 
C) 3 to ∞ 
D) any real number 
E) 1 to 10 
A) 1 to ∞ 
B) 2 to ∞ 
C) 3 to ∞ 
D) any real number 
E) 1 to 10

Question 17

When using the Pauli Exclusion Principle,we assume the particle's spin angular momentum is of magnitude

Accepted Answer

A)    
B)    
C)    
D) ±   
E)    
A)    
B)    
C)    
D) ±   
E)

Question 18

Rubidium (Z = 37)and potassium (Z = 19)are similar to sodium in that they have ____ electron(s)in the outermost shell.

Accepted Answer

A) five p 
B) three p 
C) two s 
D) one d 
E) one s 
A) five p 
B) three p 
C) two s 
D) one d 
E) one s

Question 19

The number of states in the He+ ion corresponding to the principle quantum number n = 5 are

Accepted Answer

A) 18 
B) 25 
C) 50 
D) 9 
E) 11 
A) 18 
B) 25 
C) 50 
D) 9 
E) 11

Exam 42: Atomic Physics

What value of wavelength is associated with the Lyman series for n = 2? (RH = 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 rn =

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?

What angle does the orbital angular momentum make with the z axis of a hydrogen atom in the state n = 3, = 2, = −1?

A hydrogen atom in the 4f state has a total angular momentum (in terms of ) of magnitude

In the operation of a laser

If P(r)is the radial probability density function for an electron in the ground state of a hydrogen atom,the most probable value for r can be found from

One of the main problems with the Bohr model of the hydrogen atom when compared with the results of the methods of quantum mechanics used to describe atoms,was that the Bohr model predicted

Forbidden transitions and selection rules suggest that

Quantum physics agrees with the classical physics limit when

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

The energy needed to remove an electron from the first excited state of a Li2+ ion is

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

Which of the following statements is true?

The allowed values of n for the Li2+ ion are

When using the Pauli Exclusion Principle,we assume the particle's spin angular momentum is of magnitude

Rubidium (Z = 37)and potassium (Z = 19)are similar to sodium in that they have ____ electron(s)in the outermost shell.

The number of states in the He+ ion corresponding to the principle quantum number n = 5 are

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What value of wavelength is associated with the Lyman series for n = 2? (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 =

The energy needed to remove an electron from the first excited state of a Li²⁺ ion is

The allowed values of n for the Li²⁺ ion are

The number of states in the He⁺ ion corresponding to the principle quantum number n = 5 are