Q. No.Given below are two statements:
| Statement I: |
The total number of orbitals in a given shell is n², where n is the principal quantum number. |
| Statement II: |
For any subshell, the spatial orientations of the orbitals are determined by the magnetic quantum number, ranging from –l to +l, including zero, where l is the azimuthal quantum number. |
| 1. | Statement I is incorrect and Statement II is correct. |
| 2. | Both Statement I and Statement II are correct. |
| 3. | Both Statement I and Statement II are incorrect. |
| 4. | Statement I is correct and Statement II is incorrect. |
Subtopic: Quantum Numbers & Schrodinger Wave Equation | Shell & Subshell |
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Level 1: 80%+
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For hydrogen atom, the orbital(s) with lowest energy is/are:
(A) \(4s\)
(B) \(3p_x \)
(C) \(3 d_{x^2-y^2}\)
(D) \(3 \mathrm{d}_{\mathrm{z}^2}\)
(E) \(4 p_z\)
Choose the correct answer from the options given below :
1. (A) and (E) only
2. (B) only
3. (A) only
4. (B), (C) and (D) only
(A) \(4s\)
(B) \(3p_x \)
(C) \(3 d_{x^2-y^2}\)
(D) \(3 \mathrm{d}_{\mathrm{z}^2}\)
(E) \(4 p_z\)
Choose the correct answer from the options given below :
1. (A) and (E) only
2. (B) only
3. (A) only
4. (B), (C) and (D) only
Subtopic: AUFBAU Principle | Shell & Subshell |
Level 3: 35%-60%
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Consider the last electron of element having atomic no. \(9\) & choose the correct option:
1. Sum of total nodes \(=1\)
2. \(\mathrm n=2\) and \(\ell =0\)
3. Last electron enters in \(\mathrm{2s}\) subshell
4. There are \(\mathrm{5{e^-}}\) with \(\ell=0\)
1. Sum of total nodes \(=1\)
2. \(\mathrm n=2\) and \(\ell =0\)
3. Last electron enters in \(\mathrm{2s}\) subshell
4. There are \(\mathrm{5{e^-}}\) with \(\ell=0\)
Subtopic: Shell & Subshell |
80%
Level 1: 80%+
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Consider the following statements:
| Statement I | For hydrogen atom, 3p and 3d are degenerate. |
| Statement II | Degenerate orbitals have same energy |
| 1. | Both Statement I and II are correct. |
| 2. | Both Statement I and II are incorrect. |
| 3. | Statement I is correct, Statement II is incorrect. |
| 4. | Statement I is incorrect, Statement II is correct. |
Subtopic: AUFBAU Principle | Shell & Subshell |
84%
Level 1: 80%+
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Total number of orbitals that is/are considered as axial orbital(s) is:
\(p_x, p_y, p_z, d_{xy}, d_{yz}, d_{zx}, d_{x^2−y^2}, d_{z^2}~\)
1. 8
2. 3
3. 2
4. 5
\(p_x, p_y, p_z, d_{xy}, d_{yz}, d_{zx}, d_{x^2−y^2}, d_{z^2}~\)
1. 8
2. 3
3. 2
4. 5
Subtopic: Shell & Subshell |
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Level 2: 60%+
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Consider the following combination of n, l, and m values.
(i) n=3; l=0; m=0
(ii) n=4; l=0; m=0
(iii) n=3; l=1; m=0
(iv) n=3; l=2; m=0
The correct order of energy of the corresponding orbitals for multielectron species:
1. (ii) > (i)> (iv)> (iii)
2. (iv) > (ii) > (iii) > (i)
3. (i) > (iii) > (iv) > (ii)
4. (iv) > (iii) > (i) > (ii)
(i) n=3; l=0; m=0
(ii) n=4; l=0; m=0
(iii) n=3; l=1; m=0
(iv) n=3; l=2; m=0
The correct order of energy of the corresponding orbitals for multielectron species:
1. (ii) > (i)> (iv)> (iii)
2. (iv) > (ii) > (iii) > (i)
3. (i) > (iii) > (iv) > (ii)
4. (iv) > (iii) > (i) > (ii)
Subtopic: Shell & Subshell |
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Level 1: 80%+
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Given below are the quantum numbers for 4 electrons.
A. n=3, l=2, m1=1, ms=+1/2
B. n=4, l=1, m1=0, ms=+1/2
C. n=4, l=2, m1=-2, ms=-1/2
D. n=3, l=1, m1=-1, ms=+1/2
The correct order of increasing energy is:
A. n=3, l=2, m1=1, ms=+1/2
B. n=4, l=1, m1=0, ms=+1/2
C. n=4, l=2, m1=-2, ms=-1/2
D. n=3, l=1, m1=-1, ms=+1/2
The correct order of increasing energy is:
| 1. | D<B<A<C | 2. | D<A<B<C |
| 3. | B<D<A<C | 4. | B<D<C<A |
Subtopic: Shell & Subshell |
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Level 1: 80%+
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Consider the following pairs of electrons
The pairs of electrons present in degenerate orbitals is/are:
1. Only (A)
2. Only (B)
3. Only (C)
4. (B) and (C)
| (A) | (a) \({n}=3, {l}=1,{~m}_1=1, {~m}_{{s}}=+\frac{1}{2}\) (b) \(n=3, l=2, m_1=1, m_s=+\frac{1}{2}\) |
| (B) | (a) \(n=3, l=2, m_1=-2, m_s=-\frac{1}{2}\) (b) \(n=3, l=2, m_1=-1, m_s=-\frac{1}{2}\) |
| (C) | (a) \(n=4, l=2, m_1=2, m_s=+\frac{1}{2}\) (b) \({n}=3, {l}=2, {~m}_1=2, {~m}_{{s}}=+\frac{1}{2}\) |
1. Only (A)
2. Only (B)
3. Only (C)
4. (B) and (C)
Subtopic: Shell & Subshell |
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Which of the following sets of quantum numbers is not allowed?
1. \(\mathrm{n}=3, {l}=2, \mathrm{~m}_{\mathrm{l}}=0, \mathrm{~s}=+\frac{1}{2} \)
2. \(\mathrm{n}=3, {l}=2, \mathrm{~m}_{\mathrm{l}}=-2, \mathrm{~s}=+\frac{1}{2} \)
3. \(\mathrm{n}=3, {l}=3, \mathrm{~m}_{\mathrm{l}}=-3, \mathrm{~s}=-\frac{1}{2} \)
4. \(\mathrm{n}=3, {l}=0, \mathrm{~m}_{\mathrm{l}}=0, \mathrm{~s}=-\frac{1}{2}\)
1. \(\mathrm{n}=3, {l}=2, \mathrm{~m}_{\mathrm{l}}=0, \mathrm{~s}=+\frac{1}{2} \)
2. \(\mathrm{n}=3, {l}=2, \mathrm{~m}_{\mathrm{l}}=-2, \mathrm{~s}=+\frac{1}{2} \)
3. \(\mathrm{n}=3, {l}=3, \mathrm{~m}_{\mathrm{l}}=-3, \mathrm{~s}=-\frac{1}{2} \)
4. \(\mathrm{n}=3, {l}=0, \mathrm{~m}_{\mathrm{l}}=0, \mathrm{~s}=-\frac{1}{2}\)
Subtopic: Shell & Subshell |
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Level 1: 80%+
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Identify the incorrect statement from the following.
| 1. | A circular path around the nucleus in which an electron moves is proposed as Bohr’s orbit. |
| 2. | An orbital is the one electron wave function (\(\Psi\)) in an atom. |
| 3. | The existence of Bohr’s orbits is supported by hydrogen spectrum. |
| 4. | Atomic orbital is characterised by the quantum numbers n and l only. |
Subtopic: Shell & Subshell |
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Level 1: 80%+
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