The correct set of quantum numbers among the following is :
n | l | m | |
(a) | 1 | 1 | +2 |
(b) | 2 | 1 | +1 |
(c) | 3 | 2 | –2 |
(d) | 3 | 4 | –2 |
1. (a), (d)
2. (b), (c)
3. (c), (d)
4. (b), (d)
List-I (quantum number) |
List-II (Orbital) |
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(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 |
(A) | (B) | (C) | (D) | |
1. | (III) | (IV) | (I) | (II) |
2. | (IV) | (III) | (I) | (II) |
3. | (IV) | (III) | (II) | (I) |
4. | (III) | (IV) | (II) | (I) |
The probability density plots of 1s and 2s orbitals diagrams are given below :
The density of dots in a region represents the probability density of finding electrons in the region.
On the basis of the above diagram which of the following statements is incorrect?
1. | 1s and 2s orbitals are spherical in shape |
2. | The probability of finding the electron is maximum near the nucleus |
3. | The probability of finding the electron at a given distance is equal in all directions |
4. | The probability density of electrons for 2s orbital decreases uniformly as the distance from the nucleus increases |
Out of the following pairs of electrons, identify the pairs of electrons present in degenerate orbitals.
(a) | (i) n = 3, l = 2, ml = –2, ms = –\(\frac{1}{2}\) (ii) n = 3, l = 2, ml = –1, ms = –\(\frac{1}{2}\) |
(b) | (i) n = 3, l = 1, ml = +1, ms = +\(\frac{1}{2}\) (ii) n = 3, l = 2, ml = +1, ms = +\(\frac{1}{2}\) |
(c) | (i) n = 4, l = 1, ml = +1, ms = +\(\frac{1}{2}\) (ii) n = 3, l = 2, ml = +1, ms = +\(\frac{1}{2}\) |
(d) | (i) n = 3, l = 2, ml = +2, ms = –\(\frac{1}{2}\) (ii) n = 3, l = 2, ml = +2, ms = +\(\frac{1}{2}\) |
1. (a), (d)
2. (b), (c)
3. (c), (d)
4. (b), (d)
For the electrons of an oxygen atom. The correct statement among the following is :
1. | Zeff for an electron in a 2s orbital is the same as Zeff for an electron in a 2p orbital. |
2. | An electron in the 2s orbital has the same energy as an electron in the 2p orbital. |
3. | Zeff for an electron in 1s orbital is the same as Zeff for an electron in a 2s orbital |
4. | The two electrons present in the 2s orbital have same spin quantum numbers ms but of opposite sign |
Assertion (A): | Half-filled and fully-filled degenerate orbitals are more stable. |
Reason (R): | Extra stability is due to the symmetrical distribution of electrons and high exchange energy. |
1. | Both (A) and (R) are True and (R) is the correct explanation of (A). |
2. | Both (A) and (R) are True but (R) is not the correct explanation of (A). |
3. | (A) is True but (R) is False. |
4. | (A) is False but (R) is True. |
The lowest value of n for 'g' orbitals is :
1. | 4 | 2. | 5 |
3. | 3 | 4. | 1 |
The possible values of n, l, and m for the electron present in 3d would be respectively:
1. n = 3, l = 1, m = – 2, – 1, 3, 1, 2
2. n = 3, l = 3, m = – 2, – 1, 0, 1, 2
3. n = 3, l = 2, m = – 2, – 1, 0, 1, 2
4. n = 5, l = 2, m = – 2, – 1, 0, 1, 2