Q. For an electron in a 3d orbital, what are the possible values of l?
Solution
For d orbitals, the azimuthal quantum number l = 2.
Correct Answer: C — 2
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Q. For an electron in a 3d orbital, what are the possible values of m_l?
-
A.
-2, -1, 0, 1, 2
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B.
-1, 0, 1
-
C.
0, 1
-
D.
0, 1, 2
Solution
For l=2 (d orbital), m_l can take values from -l to +l, which are -2, -1, 0, 1, 2.
Correct Answer: A — -2, -1, 0, 1, 2
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Q. For an electron in a 3p orbital, what are the possible values of m_l?
-
A.
-1, 0, +1
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B.
0, +1, +2
-
C.
-2, -1, 0
-
D.
0, -1, -2
Solution
For a p orbital, l=1, so m_l can take values -1, 0, +1.
Correct Answer: A — -1, 0, +1
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Q. For an electron in a 3p orbital, what are the possible values of m_s?
-
A.
-1/2, +1/2
-
B.
0, +1
-
C.
1, 2
-
D.
-1, 0, +1
Solution
The spin quantum number (m_s) can take values of -1/2 and +1/2.
Correct Answer: A — -1/2, +1/2
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Q. For an electron in a 3p orbital, what are the possible values of the magnetic quantum number (m_l)?
-
A.
-1, 0, +1
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B.
0, +1, +2
-
C.
-2, -1, 0
-
D.
1, 2, 3
Solution
For a p orbital (l=1), m_l can take values -1, 0, +1.
Correct Answer: A — -1, 0, +1
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Q. For an electron in a 5d orbital, what are the possible values of m_l?
-
A.
-2, -1, 0, 1, 2
-
B.
-3, -2, -1, 0, 1, 2, 3
-
C.
0, 1, 2
-
D.
-1, 0, 1
Solution
For l=2 (d orbital), m_l can take values from -2 to +2, which are -2, -1, 0, 1, 2.
Correct Answer: A — -2, -1, 0, 1, 2
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Q. For the quantum state with n=3, l=1, how many possible values can m_l take?
Solution
For l=1, m_l can take values -1, 0, 1, which gives 3 possible values.
Correct Answer: C — 3
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Q. If an electron has quantum numbers n=2, l=0, and m_l=0, which orbital does it occupy?
Solution
The quantum numbers correspond to the 2s orbital, where l=0 indicates an s orbital.
Correct Answer: A — 2s
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Q. If an electron has quantum numbers n=3, l=1, and m_l=-1, what is the possible value of the spin quantum number?
-
A.
+1/2
-
B.
-1/2
-
C.
0
-
D.
1
Solution
The spin quantum number can be either +1/2 or -1/2, so both values are possible.
Correct Answer: A — +1/2
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Q. If an electron has the quantum numbers n=3, l=1, m_l=0, what type of orbital does it occupy?
Solution
For l=1, the electron occupies a p orbital.
Correct Answer: B — p
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Q. If an electron has the quantum numbers n=3, l=1, m_l=0, what type of orbital is it in?
Solution
For l=1, the orbital is a p orbital.
Correct Answer: B — p
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Q. If an electron has the quantum numbers n=3, l=1, what is the possible range of m_l?
-
A.
-1, 0, +1
-
B.
0, +1, +2
-
C.
-2, -1, 0
-
D.
-1, 0, +1, +2
Solution
For l=1, m_l can take values -1, 0, +1.
Correct Answer: A — -1, 0, +1
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Q. If an electron is in the state characterized by the quantum numbers n=4, l=0, what is the value of m_l?
Solution
For l=0, m_l can only be 0.
Correct Answer: A — 0
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Q. If an electron is in the state characterized by the quantum numbers n=4, l=2, what is the value of m_l?
-
A.
-2
-
B.
0
-
C.
2
-
D.
All of the above
Solution
For l=2, m_l can take values -2, -1, 0, 1, 2. Therefore, all of the options are valid.
Correct Answer: D — All of the above
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Q. If n=4 and l=2, what is the type of orbital?
Solution
For l=2, the orbital type is d.
Correct Answer: C — d
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Q. If the azimuthal quantum number l = 1, what is the shape of the orbital?
-
A.
Spherical
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B.
Dumbbell
-
C.
Double dumbbell
-
D.
None of the above
Solution
The azimuthal quantum number l = 1 corresponds to p orbitals, which have a dumbbell shape.
Correct Answer: B — Dumbbell
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Q. If the principal quantum number n = 4 and the azimuthal quantum number l = 2, what is the maximum number of electrons in this subshell?
Solution
The maximum number of electrons in a subshell is given by 2(2l + 1). For l = 2, it is 2(2*2 + 1) = 10.
Correct Answer: C — 14
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Q. If the principal quantum number n = 4, what are the possible values of l?
-
A.
0, 1, 2, 3
-
B.
1, 2, 3, 4
-
C.
0, 1, 2, 3, 4
-
D.
0, 1, 2
Solution
For n=4, l can take values 0, 1, 2, or 3.
Correct Answer: A — 0, 1, 2, 3
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Q. If the principal quantum number n = 4, what are the possible values of the azimuthal quantum number l?
-
A.
0, 1, 2, 3
-
B.
1, 2, 3, 4
-
C.
0, 1, 2, 3, 4
-
D.
0, 1, 2
Solution
For n=4, l can take values from 0 to n-1, which are 0, 1, 2, and 3.
Correct Answer: A — 0, 1, 2, 3
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Q. In which of the following orbitals would an electron have the highest energy?
Solution
The 3s orbital has the highest principal quantum number (n=3), indicating it has the highest energy.
Correct Answer: D — 3s
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Q. What is the maximum number of electrons that can be accommodated in a shell with principal quantum number n=5?
Solution
The maximum number of electrons in a shell is given by 2n^2. For n=5, it is 2(5^2) = 50.
Correct Answer: C — 32
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Q. What is the maximum number of electrons that can be accommodated in a shell with quantum number n=4?
Solution
The maximum number of electrons in a shell is given by 2n^2. For n=4, it is 2(4^2) = 32.
Correct Answer: C — 32
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Q. What is the maximum number of electrons that can be accommodated in a shell with n=3?
Solution
The maximum number of electrons in a shell is given by 2n^2. For n=3, it is 2(3^2) = 18.
Correct Answer: B — 18
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Q. What is the maximum number of electrons that can be accommodated in a subshell with the quantum number l = 2?
Solution
The maximum number of electrons in a subshell is given by the formula 2(2l + 1). For l = 2, it is 2(2*2 + 1) = 10.
Correct Answer: C — 10
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Q. What is the maximum number of electrons that can be accommodated in the n=2 shell?
Solution
The maximum number of electrons in a shell is given by 2n^2. For n=2, this is 2(2^2) = 8.
Correct Answer: B — 4
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Q. What is the maximum number of electrons that can be accommodated in the n=5 shell?
Solution
The maximum number of electrons in a shell is given by 2n^2. For n=5, it is 2(5^2) = 50.
Correct Answer: C — 32
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Q. What is the maximum number of electrons that can occupy a single orbital?
Solution
A single orbital can hold a maximum of 2 electrons, with opposite spins.
Correct Answer: B — 2
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Q. What is the maximum number of electrons that can occupy a subshell with the quantum numbers n=3 and l=2?
Solution
The maximum number of electrons in a subshell is given by the formula 2(2l + 1). For l=2, this gives 2(2*2 + 1) = 10.
Correct Answer: C — 10
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Q. What is the maximum number of electrons that can occupy a subshell with the quantum number l = 2?
Solution
The maximum number of electrons in a subshell is given by the formula 2(2l + 1). For l = 2, this gives 2(2*2 + 1) = 10.
Correct Answer: C — 10
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Q. What is the maximum number of orbitals in a subshell where l = 1?
Solution
For l=1, the number of orbitals is given by 2l + 1 = 3.
Correct Answer: B — 3
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