# Worksheet: Quantum Numbers

In this worksheet, we will practice assigning quantum numbers to atomic orbitals and relating these values to the orbital nodes, energies, and degeneracies.

**Q1: **

What percentage of the orbitals in the shell of an atom are d orbitals?

**Q2: **

Which subshell is occupied by electrons with quantum numbers and ?

- A3s
- B4p
- C4s
- D3p
- E4d

**Q3: **

Which subshell is occupied by electrons with quantum numbers and ?

- A6f
- B5d
- C6d
- D5f
- E4f

**Q4: **

Which subshell is occupied by electrons with quantum numbers and ?

- A3s
- B2p
- C3p
- D2s
- E1s

**Q5: **

What is the maximum number of electrons that can occupy a shell with ?

**Q6: **

What is the maximum number of electrons that can occupy a shell with ?

**Q7: **

What is the maximum number of electrons that can occupy a shell with quantum number ?

- A
- B
- C
- D
- E

**Q8: **

What is the principal quantum for a shell that can be occupied by a maximum of 32 electrons?

**Q9: **

How many radial nodes are displayed by the 4f orbital?

**Q10: **

How many radial nodes are displayed by an orbital with and ?

**Q11: **

How many radial nodes are displayed by an orbital with and 7 possible values of ?

**Q12: **

What is the value of for an orbital with and 2 radial nodes?

**Q13: **

What is the value of for an orbital with 1 radial node and 5 possible values of ?

**Q14: **

How many radial nodes are displayed by an orbital with quantum numbers and ?

- A
- B
- C
- D
- E

**Q15: **

For electrons in an atom or ion, which of the following quantum numbers does not adopt an integer value?

- A
- B
- C
- D

**Q16: **

For electrons in an atom or ion, which of the following quantum numbers does not adopt an integer value?

- A
- B
- C
- D

**Q17: **

Which of the following quantum numbers determines the shape of an atomic orbital?

- A
- B
- C
- D
- E

**Q18: **

If two orbitals have the same values of and but different values of , in what way do they differ?

- ASpin
- BShape
- CEnergy
- DOrientation
- EOrbital angular momentum

**Q19: **

Which of the following statements is false?

- AOrbitals in different subshells of the same shell can have the same value of .
- BDifferent orbitals in the same subshell always have different values of .
- COrbitals in different subshells of the same shell cannot have the same value of .
- DDifferent orbitals in the same subshell always have different values of .
- EOrbitals in different subshells of the same shell can have the same energy.

**Q20: **

Which of the following statements is false?

- AThe total angular momentum can be greater than the azimuthal quantum number.
- BThe number of subshells in a shell is equal to the principal quantum number.
- CThe spin projection quantum number for an electron only has two possible values.
- DThe number of orbitals in a subshell is equal to twice the principal quantum number plus one.
- EThe magnetic quantum number cannot be greater in magnitude than the azimuthal quantum number.

**Q21: **

Which subshell is occupied by electrons with the quantum numbers and ?

- A1s
- B2s
- C3s
- D2p
- E3p

**Q22: **

Which subshell is occupied by electrons with the quantum numbers and ?

- A4s
- B4p
- C3p
- D4d
- E3d

**Q23: **

Which subshell is occupied by electrons with the quantum numbers and ?

- A6p
- B5s
- C5p
- D6s
- E7s

**Q24: **

How many degenerate orbitals are present in the 2s subshell?

- A3
- B2
- C5
- D1
- E7

**Q25: **

How many degenerate orbitals are present in the 6p subshell?