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Q. No.The set of a quantum number that represents degenerate orbitals is:
1. a
2. b
3. c
4. a, b
| a. | \( \small{n=3, \ell=2, m=0, s=\frac{-1}{2} \,\& \ \,n=3, \ell=2, m=-1, s=\frac{+1}{2}}\) |
| b. | \(\small{n=2, \ell=1, m=1 , \ s=\frac{-1}{2}\, \&\, \ n=3, \ell=1, m=1 \mathrm{~s}=\frac{+1}{2}}\) |
| c. | \(\small{n=4, \ell=2, m=-1, s=\frac{1}{2}\, \&\, \ n=3, \ell=2, m=-1, s=\frac{1}{2}}\) |
1. a
2. b
3. c
4. a, b
Subtopic: Quantum Numbers & Schrodinger Wave Equation |
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Using the following statements, identify the correct set of statements:
1. (i), (ii), (iii)
2. (i), (ii), (iv)
3. (i), (ii), (iii), (iv)
4. (i), (iii), (iv)
| (i). | n (principal quantum number) can have values 1, 2, 3, 4, ....... |
| (ii). | The number of orbitals for a given value of l is (2l+1). |
| (iii). | The value of spin quantum numbers is always \(\pm\frac12\). |
| (iv). | For l=5, the total number of orbitals is 9. |
1. (i), (ii), (iii)
2. (i), (ii), (iv)
3. (i), (ii), (iii), (iv)
4. (i), (iii), (iv)
Subtopic: Quantum Numbers & Schrodinger Wave Equation |
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The plots of radial distribution functions for various orbitals of hydrogen atom against 'r' are given below:
a.
b.
c.
d.
The correct plot for 3s orbital is:
1. (B)
2. (A)
3. (D)
4. (C)
Subtopic: Quantum Numbers & Schrodinger Wave Equation |
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The graph between and r (radial distance) is shown below. This represents:
| 1. | 3s orbital | 2. | 2s orbital |
| 3. | 2p orbital | 4. | 1s orbital |
Subtopic: Quantum Numbers & Schrodinger Wave Equation |
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The correct set of four quantum numbers for the valence electrons of rubidium atom (Z = 37) is -
1. 5, 1, 0 +
2. 5, 1, 1 +
3. 5, 0, 1 +
4. 5, 0, 0 +
Subtopic: Quantum Numbers & Schrodinger Wave Equation |
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Consider the ground state of Cr atom (Z=24). The numbers of electrons with the azimuthal quantum numbers, l=1 and 2 are, respectively:
1. 12 and 4
2. 12 and 5
3. 16 and 4
4. 16 and 5
Subtopic: Quantum Numbers & Schrodinger Wave Equation |
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How many sets of quantum numbers are possible?
1. 0
2. 1
3. 2
4. 3
| n | l | m | |
| (a). | 2 | 2 | 1 |
| (b). | 3 | 2 | -2 |
| (c). | 3 | 2 | -1 |
| (d). | 2 | 1 | -1 |
1. 0
2. 1
3. 2
4. 3
Subtopic: Quantum Numbers & Schrodinger Wave Equation |
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