# 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
• B3p
• C4s
• D4d
• E4p

Q3:

Which subshell is occupied by electrons with quantum numbers and ?

• A6d
• B5d
• C5f
• D4f
• E6f

Q4:

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

• A1s
• B3p
• C2s
• D3s
• E2p

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 the 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:

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

• A
• B
• C
• D
• E

Q17:

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

• AOrbital angular momentum
• BSpin
• COrientation
• DEnergy
• EShape

Q18:

Which of the following statements is false?

• ADifferent orbitals in the same subshell always have different values of .
• BOrbitals in different subshells of the same shell can have the same energy.
• COrbitals in different subshells of the same shell can have the same value of .
• DDifferent orbitals in the same subshell always have different values of .
• EOrbitals in different subshells of the same shell cannot have the same value of .

Q19:

Which of the following statements is false?

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

Q20:

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

• A2s
• B2p
• C3p
• D1s
• E3s

Q21:

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

• A4s
• B4p
• C4d
• D3p
• E3d

Q22:

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

• A6s
• B5s
• C6p
• D5p
• E7s

Q23:

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

Q24:

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

Q25:

Which subshell is occupied by electrons with the quantum numbers = 3 and = 2?

• A3d
• B2p
• C3p
• D3s
• E2s