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Which of the following sets of quantum number is correct for an electron in 4f-orbital? a) n=4, I =3, m=4, s=1/2 b) n=4, I =4, m=-4, s=-1/2 c) n=4, I =3, m=1, s=1/2 d) n=3, I =2, m=-2, s=1/2?
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Quantum Numbers for an Electron in 4f-orbital
To determine the correct set of quantum numbers for an electron in the 4f-orbital, we need to understand the four quantum numbers: principal quantum number (n), azimuthal quantum number (l), magnetic quantum number (m), and spin quantum number (s).
Principal Quantum Number (n)
The principal quantum number (n) represents the energy level or shell in which the electron is located. It can have any positive integer value.
Azimuthal Quantum Number (l)
The azimuthal quantum number (l) determines the shape of the orbital and is related to the angular momentum of the electron. It can have values ranging from 0 to (n-1).
Magnetic Quantum Number (m)
The magnetic quantum number (m) determines the orientation of the orbital in space. It can have values ranging from -l to +l, including zero.
Spin Quantum Number (s)
The spin quantum number (s) describes the intrinsic angular momentum or "spin" of the electron. It can have two possible values: +1/2 or -1/2.
Analysis of the Given Sets of Quantum Numbers
a) n=4, I =3, m=4, s=1/2
This set of quantum numbers violates the rules. The principal quantum number (n) can be 4 for the 4f-orbital, but the azimuthal quantum number (l) cannot be 3. It must be less than n.
b) n=4, I =4, m=-4, s=-1/2
This set of quantum numbers is incorrect. The azimuthal quantum number (l) cannot be equal to the principal quantum number (n). The correct range for l is 0 to (n-1).
c) n=4, I =3, m=1, s=1/2
This set of quantum numbers is incorrect. The magnetic quantum number (m) cannot be 1 for the 4f-orbital. The correct range for m is -l to +l.
d) n=3, I =2, m=-2, s=1/2
This set of quantum numbers is correct for an electron in the 4f-orbital. The principal quantum number (n) can be 3 for the 4f-orbital. The azimuthal quantum number (l) can be 2, which is less than n. The magnetic quantum number (m) can be -2, which is within the range of -l to +l. The spin quantum number (s) can be +1/2.
Conclusion
The correct set of quantum numbers for an electron in the 4f-orbital is:
- Principal quantum number (n) = 3
- Azimuthal quantum number (l) = 2
- Magnetic quantum number (m) = -2
- Spin quantum number (s) = +1/2
Therefore, option d) n=3, I=2, m=-2, s=1/2 is the correct set of quantum numbers for an electron in the 4f-orbital.
To determine the correct set of quantum numbers for an electron in the 4f-orbital, we need to understand the four quantum numbers: principal quantum number (n), azimuthal quantum number (l), magnetic quantum number (m), and spin quantum number (s).
Principal Quantum Number (n)
The principal quantum number (n) represents the energy level or shell in which the electron is located. It can have any positive integer value.
Azimuthal Quantum Number (l)
The azimuthal quantum number (l) determines the shape of the orbital and is related to the angular momentum of the electron. It can have values ranging from 0 to (n-1).
Magnetic Quantum Number (m)
The magnetic quantum number (m) determines the orientation of the orbital in space. It can have values ranging from -l to +l, including zero.
Spin Quantum Number (s)
The spin quantum number (s) describes the intrinsic angular momentum or "spin" of the electron. It can have two possible values: +1/2 or -1/2.
Analysis of the Given Sets of Quantum Numbers
a) n=4, I =3, m=4, s=1/2
This set of quantum numbers violates the rules. The principal quantum number (n) can be 4 for the 4f-orbital, but the azimuthal quantum number (l) cannot be 3. It must be less than n.
b) n=4, I =4, m=-4, s=-1/2
This set of quantum numbers is incorrect. The azimuthal quantum number (l) cannot be equal to the principal quantum number (n). The correct range for l is 0 to (n-1).
c) n=4, I =3, m=1, s=1/2
This set of quantum numbers is incorrect. The magnetic quantum number (m) cannot be 1 for the 4f-orbital. The correct range for m is -l to +l.
d) n=3, I =2, m=-2, s=1/2
This set of quantum numbers is correct for an electron in the 4f-orbital. The principal quantum number (n) can be 3 for the 4f-orbital. The azimuthal quantum number (l) can be 2, which is less than n. The magnetic quantum number (m) can be -2, which is within the range of -l to +l. The spin quantum number (s) can be +1/2.
Conclusion
The correct set of quantum numbers for an electron in the 4f-orbital is:
- Principal quantum number (n) = 3
- Azimuthal quantum number (l) = 2
- Magnetic quantum number (m) = -2
- Spin quantum number (s) = +1/2
Therefore, option d) n=3, I=2, m=-2, s=1/2 is the correct set of quantum numbers for an electron in the 4f-orbital.
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Which of the following sets of quantum number is correct for an electron in 4f-orbital? a) n=4, I =3, m=4, s=1/2 b) n=4, I =4, m=-4, s=-1/2 c) n=4, I =3, m=1, s=1/2 d) n=3, I =2, m=-2, s=1/2?
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Which of the following sets of quantum number is correct for an electron in 4f-orbital? a) n=4, I =3, m=4, s=1/2 b) n=4, I =4, m=-4, s=-1/2 c) n=4, I =3, m=1, s=1/2 d) n=3, I =2, m=-2, s=1/2? for Chemistry 2024 is part of Chemistry preparation. The Question and answers have been prepared according to the Chemistry exam syllabus. Information about Which of the following sets of quantum number is correct for an electron in 4f-orbital? a) n=4, I =3, m=4, s=1/2 b) n=4, I =4, m=-4, s=-1/2 c) n=4, I =3, m=1, s=1/2 d) n=3, I =2, m=-2, s=1/2? covers all topics & solutions for Chemistry 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Which of the following sets of quantum number is correct for an electron in 4f-orbital? a) n=4, I =3, m=4, s=1/2 b) n=4, I =4, m=-4, s=-1/2 c) n=4, I =3, m=1, s=1/2 d) n=3, I =2, m=-2, s=1/2?.
Which of the following sets of quantum number is correct for an electron in 4f-orbital? a) n=4, I =3, m=4, s=1/2 b) n=4, I =4, m=-4, s=-1/2 c) n=4, I =3, m=1, s=1/2 d) n=3, I =2, m=-2, s=1/2? for Chemistry 2024 is part of Chemistry preparation. The Question and answers have been prepared according to the Chemistry exam syllabus. Information about Which of the following sets of quantum number is correct for an electron in 4f-orbital? a) n=4, I =3, m=4, s=1/2 b) n=4, I =4, m=-4, s=-1/2 c) n=4, I =3, m=1, s=1/2 d) n=3, I =2, m=-2, s=1/2? covers all topics & solutions for Chemistry 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Which of the following sets of quantum number is correct for an electron in 4f-orbital? a) n=4, I =3, m=4, s=1/2 b) n=4, I =4, m=-4, s=-1/2 c) n=4, I =3, m=1, s=1/2 d) n=3, I =2, m=-2, s=1/2?.
Solutions for Which of the following sets of quantum number is correct for an electron in 4f-orbital? a) n=4, I =3, m=4, s=1/2 b) n=4, I =4, m=-4, s=-1/2 c) n=4, I =3, m=1, s=1/2 d) n=3, I =2, m=-2, s=1/2? in English & in Hindi are available as part of our courses for Chemistry.
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Which of the following sets of quantum number is correct for an electron in 4f-orbital? a) n=4, I =3, m=4, s=1/2 b) n=4, I =4, m=-4, s=-1/2 c) n=4, I =3, m=1, s=1/2 d) n=3, I =2, m=-2, s=1/2?, a detailed solution for Which of the following sets of quantum number is correct for an electron in 4f-orbital? a) n=4, I =3, m=4, s=1/2 b) n=4, I =4, m=-4, s=-1/2 c) n=4, I =3, m=1, s=1/2 d) n=3, I =2, m=-2, s=1/2? has been provided alongside types of Which of the following sets of quantum number is correct for an electron in 4f-orbital? a) n=4, I =3, m=4, s=1/2 b) n=4, I =4, m=-4, s=-1/2 c) n=4, I =3, m=1, s=1/2 d) n=3, I =2, m=-2, s=1/2? theory, EduRev gives you an
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