Question 1

Which of the following statements is true?
A)The s orbital is spherical.
B)The s orbital has no nodal planes.
C)The s orbital is symmetrical.
D)The s orbital is associated with the l quantum number 0.
E)All of the above.

Accepted Answer

The s orbital is spherical (A), has no nodal planes (B), and is symmetrical (C). Additionally, the s orbital is associated with the l quantum number 0 (D). Therefore, all of the statements (A), (B), (C), and (D) are true, making choice (E) the best answer.

Question 2

How many nodal planes are present in an f-orbital?
A)2
B)3
C)7
D)4
E)5

Accepted Answer

An f-orbital has three nodal planes.

Question 3

Which set of orbitals encompass two shapes?
A)The s orbitals.
B)The p orbitals.
C)The d orbitals.
D)Both B and C, above.
E)Both A and C, above.

Accepted Answer

C

Question 4

Which set of quantum numbers,n,l,m_l,could correspond to one of the highest energy electrons in Zr? A)4, 2, -2 B)4, 2, +3 C)3, 2, -2 D)4, 3, -2

Accepted Answer

The answer of Which set of quantum numbers,n,l,m_l,could correspond to...

Question 5

What are the possibilities of the spin quantum number for Mg? A)m_s = 1 B)m_s = 0 C)m_s = +1/2 D)m_s = - ½ E)Both C and D

Accepted Answer

The spin quantum number, denoted by ms, has two possible values: +1/2 or -1/2. Therefore, options A, B, and C are not correct as they contain values other than +1/2 or -1/2 for the spin quantum number. Option D is correct as it gives the only possible values for the spin quantum number for Mg, which are +1/2 and -1/2. Option E is also correct as it contains both the correct answer (D) and an incorrect answer (C).

Question 6

Which set of quantum numbers could correspond to a 4f-orbital? A)n = 4, l = 4, m_l = +3 B)n = 4, l = 3, m_l = +4 C)n = 4, l = 3, m_l = -3 D)n = 3, l = 2, m_l = +1 E)n = 3, l = 2, m_l = 0

Accepted Answer

For a 4f-orbital, the principal quantum number (n) must be 4, and the azimuthal (angular momentum) quantum number (l) must be 3 (since l = 0 for s-orbitals, 1 for p-orbitals, 2 for d-orbitals, and 3 for f-orbitals). The magnetic quantum number (ml) can range from -l to +l, making option C correct as it fits these criteria.

Question 7

Where is the nodal plane in a 1s orbital?
A)Along the x-axis.
B)Along the y-axis.
C)Along the z-axis.
D)Mid-way between the x and y-axes.
E)There is none.

Accepted Answer

A 1s orbital is spherically symmetric, meaning there is no nodal plane present.

Question 8

The three quantum numbers for an electron in a hydrogen atom in a certain state are n = 4,l = 1,m_l = 1.The electron is located in what type of orbital? A)4s B)3p C)3d D)4d E)4p

Accepted Answer

The given quantum numbers (n=4, l=1, m=1) correspond to a 4p orbital.

Question 9

Which set of quantum numbers corresponds to the electrons in He? A)n = 1, l = 0, m_l = 1 B)n = 1, l = 0, m_l = 0 C)n = 1, l = 1, m_l =-0 D)n = 1, l = 0, m_l = -1 E)n = 1, l = 2, m_l = 0

Accepted Answer

He has two electrons, both in the 1s orbital. The quantum numbers for the 1s orbital are n=1, l=0, and ml=0. The spin quantum number, ms, can either be +0.5 or -0.5, so it is not included in the given options. Therefore, the only choice that matches the quantum numbers for the 1s orbital is B: n=1, l=0, and ml=0.

Question 10

How many nodes are present in a 3s- and a 3p-orbital,respectively?
A)2;1
B)0; 1
C)0; 2
D)1; 1
E)2; 2

Accepted Answer

The answer of How many nodes are present in a...

Question 11

Which of the following statements is true?
A)A 2s orbital has one nodal plane.
B)An electron in a p-orbital has zero probability of being found at the nucleus.
C)A p-orbital has a spherical boundary surface.
D)An s-orbital becomes more dense as the distance from the nucleus increases.
E)An electron in an s-orbital has a zero probability of being found at the nucleus.

Accepted Answer

An electron in a p-orbital has zero probability of being found at the nucleus due to the nodal plane that passes through the nucleus, which is characteristic of p-orbitals.

Question 12

Where is the nodal plane for the p_x orbital? A)On the x-z plane. B)On the y-z plane. C)On the x-y plane. D)Midway between the x-y and the y-z plane. E)The p_x orbital does not have a nodal plane.

Accepted Answer

The subscripted letters S and B represent the symmetry of the orbitals. In this case, the subscripted letters indicate that the orbital has symmetry with respect to the y-z plane. Therefore, the nodal plane must be on the y-z plane.

Question 13

What is the only secondary quantum number associated with the 4s orbital?
A)l = 0
B)l = 1
C)l = 2
D)l = 3
E)l = 4

Accepted Answer

The secondary quantum number l is also known as the orbital angular momentum quantum number and describes the shape of the orbital. For the 4s orbital, the value of l is 0, indicating that the orbital is spherical in shape.

Question 14

What is the principle quantum number for gallium?
A)n = 1
B)n = 2
C)n = 3
D)n = 4
E)n = 5

Accepted Answer

The principle quantum number, n, corresponds to the electron shell in which an element's valence electrons reside. Gallium (Ga) has its valence electrons in the 4th shell, thus n = 4.

Question 15

What is the l corresponding to the outermost p electrons in sulfur?
A)l = 0
B)l = 1
C)l = 2
D)l = 3
E)l = 4

Accepted Answer

The outermost p electrons in sulfur are in the third energy level, n = 3. For p orbitals, l = 1, so the answer is B) l = 1.

Question 16

Nodal planes in orbitals can be accounted for by the wavelike behavior of electrons.

Accepted Answer

Nodal planes are areas within an orbital where the wave function of the electron is zero. This behavior can be explained by the wave-particle duality of electrons, where their behavior is better described by wave-like properties in addition to particle-like behavior.

Question 17

How many total nodal planes are present in the 3d-orbitals?
A)15
B)0
C)5
D)20
E)10

Accepted Answer

The answer of How many total nodal planes are present...

Question 18

The total number of orbitals in a shell with principal quantum number 5 is
A)32.
B)50.
C)25.
D)40.
E)5.

Accepted Answer

The answer of The total number of orbitals in a...

Question 19

Which orbitals have the greatest number of nodes?
A)The s orbitals.
B)The p orbitals.
C)The d orbitals.
D)The f orbitals.
E)All orbitals have the same number of nodes.

Accepted Answer

The f orbitals have the greatest number of nodes. These orbitals have complex shapes with multiple angular nodes and spherical nodes, resulting in a larger number of nodes than any of the other orbital types.

Question 20

What shape do the p-orbitals have that each accommodates one nodal plane?
A)A spherical shape.
B)A dumbbell shape centered at the nucleus.
C)A clover leaf shape centered at the nucleus.
D)A clover leaf shape centered above and below the nucleus.
E)A toroidal shape around a dumbbell.

Accepted Answer

P-orbitals with one nodal plane have a dumbbell shape centered at the nucleus. The nodal plane is the area where the probability of finding an electron is zero.

Quiz 2: Quantum Mechanics in Action: Atoms

Which of the following statements is true?

How many nodal planes are present in an f-orbital?

Which set of orbitals encompass two shapes?

Which set of quantum numbers,n,l,ml,could correspond to one of the highest energy electrons in Zr?

What are the possibilities of the spin quantum number for Mg?

Which set of quantum numbers could correspond to a 4f-orbital?

Where is the nodal plane in a 1s orbital?

The three quantum numbers for an electron in a hydrogen atom in a certain state are n = 4,l = 1,ml = 1.The electron is located in what type of orbital?

Which set of quantum numbers corresponds to the electrons in He?

How many nodes are present in a 3s- and a 3p-orbital,respectively?

Which of the following statements is true?

Where is the nodal plane for the px orbital?

What is the only secondary quantum number associated with the 4s orbital?

What is the principle quantum number for gallium?

What is the l corresponding to the outermost p electrons in sulfur?

Nodal planes in orbitals can be accounted for by the wavelike behavior of electrons.

How many total nodal planes are present in the 3d-orbitals?

The total number of orbitals in a shell with principal quantum number 5 is

Which orbitals have the greatest number of nodes?

What shape do the p-orbitals have that each accommodates one nodal plane?

Which set of quantum numbers,n,l,m_l,could correspond to one of the highest energy electrons in Zr?

The three quantum numbers for an electron in a hydrogen atom in a certain state are n = 4,l = 1,m_l = 1.The electron is located in what type of orbital?

Where is the nodal plane for the p_x orbital?