The relation between \(n_m \) (\(n_m \) = number of permissible values of magnetic quantum number (ml) for a given value of azimuthal quantum number (l) is: 

1. \(n_m = l+2\)
2. \(l = {\dfrac{n_m -1} 2}\)
3. \(l= 2n_m +1\)
4. \(n_m = 2l^2 + 1 \)
Subtopic:  Shell & Subshell |
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Identify the incorrect statement from the following:
1. The shapes of dxy, dyz, and dzx orbitals are similar to each other; and dx-y2 and dz2 are similar to each other.
2. All the five 5d orbitals are different in size when compared to the respective 4d orbitals.
3. All the five 4d orbitals have shapes similar to the respective 3d orbitals.
4. In an atom, all the five 3d orbitals are equal in energy in free state.
Subtopic:  Shell & Subshell |
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Match List-I with List-II:
List-I
(quantum number)
List-II
(Orbital)
(A) n = 2, \(\ell\) = 1 (I) 2s
(B) n = 3, \(\ell\) = 2 (II) 3s
(C) n = 3, \(\ell\) = 0 (III) 2p
(D) n = 2, \(\ell\) = 0 (IV) 3d

Choose the correct answer from the options given below:
(A) (B) (C) (D)
1. (III) (IV) (I) (II)
2. (IV) (III) (I) (II)
3. (IV) (III) (II) (I)
4. (III) (IV) (II) (I)
Subtopic:  Shell & Subshell |
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A pair of d-orbitals having electron density along the axes is: 

1. dz2, dxz

2. dxz, dzy

3. dz2, dx2-y2

4. dxy, dx2-y2

Subtopic:  Shell & Subshell |
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The rule used to determine the maximum number of electrons in a subshell of an atom is:

1. 4l+2 2. 2l+1
3. 4l-2 4. 2n2
Subtopic:  Shell & Subshell |
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