Match the following laws with their correct statements:
Laws Statements $(1)$ Hund's Rule $(A)$ No two electrons in an atom can have the same set of all four quantum numbers. $(2)$ Aufbau Principle $(B)$ Half-filled and fully-filled orbitals have greater stability. $(3)$ Pauli Exclusion Principle $(C)$ Electrons prefer to remain unpaired in degenerate orbitals first. $(4)$ Heisenberg's Uncertainty Principle $(D)$ It is impossible to determine simultaneously the exact position and exact momentum of an electron. $(E)$ In the ground state of atoms,orbitals are filled in the order of increasing energy.
| Laws | Statements |
|---|---|
| $(1)$ Hund's Rule | $(A)$ No two electrons in an atom can have the same set of all four quantum numbers. |
| $(2)$ Aufbau Principle | $(B)$ Half-filled and fully-filled orbitals have greater stability. |
| $(3)$ Pauli Exclusion Principle | $(C)$ Electrons prefer to remain unpaired in degenerate orbitals first. |
| $(4)$ Heisenberg's Uncertainty Principle | $(D)$ It is impossible to determine simultaneously the exact position and exact momentum of an electron. |
| $(E)$ In the ground state of atoms,orbitals are filled in the order of increasing energy. |
(C) The correct matching is: $(1-C, 2-E, 3-A, 4-D)$.
$(1)$ Hund's Rule states that in degenerate orbitals,electrons prefer to remain unpaired with parallel spins as much as possible.
$(2)$ Aufbau Principle states that in the ground state of atoms,electrons fill orbitals in the order of increasing energy.
$(3)$ Pauli Exclusion Principle states that no two electrons in an atom can have the same set of all four quantum numbers.
$(4)$ Heisenberg's Uncertainty Principle states that it is impossible to determine simultaneously the exact position and exact momentum of a microscopic particle like an electron.
$(1)$ Hund's Rule states that in degenerate orbitals,electrons prefer to remain unpaired with parallel spins as much as possible.
$(2)$ Aufbau Principle states that in the ground state of atoms,electrons fill orbitals in the order of increasing energy.
$(3)$ Pauli Exclusion Principle states that no two electrons in an atom can have the same set of all four quantum numbers.
$(4)$ Heisenberg's Uncertainty Principle states that it is impossible to determine simultaneously the exact position and exact momentum of a microscopic particle like an electron.
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$I$. The electron spin quantum number describes the orientation of the spin of the nucleus with respect to the magnetic field.
$II$. The orbitals represented by the quantum numbers $n=3, l=2, m=+2$ and $n=3, l=2, m=-2$ have the same energy.
$III$. The energy of a photon is directly proportional to wavelength but inversely proportional to wave number.
$IV$. Lyman series of lines appear in ultra-violet region.
The correct statements are:
$I$. The electron spin quantum number describes the orientation of the spin of the nucleus with respect to the magnetic field.
$II$. The orbitals represented by the quantum numbers $n=3, l=2, m=+2$ and $n=3, l=2, m=-2$ have the same energy.
$III$. The energy of a photon is directly proportional to wavelength but inversely proportional to wave number.
$IV$. Lyman series of lines appear in ultra-violet region.
The correct statements are:
Match the following columns:
Column-$I$ Column-$II$ $(1)$ Photon $(A)$ Value of $4$ for $N$ shell $(2)$ Electron $(B)$ Probability density $(3)$ $\psi^2$ $(C)$ Always $+$ value $(4)$ Principal quantum number $(n)$ $(D)$ Represents wavelength and momentum
| Column-$I$ | Column-$II$ |
|---|---|
| $(1)$ Photon | $(A)$ Value of $4$ for $N$ shell |
| $(2)$ Electron | $(B)$ Probability density |
| $(3)$ $\psi^2$ | $(C)$ Always $+$ value |
| $(4)$ Principal quantum number $(n)$ | $(D)$ Represents wavelength and momentum |
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$A$. Energy of ground state of $He^+$ $i$. $+6.04 \text{ eV}$ $B$. Potential energy of $I$ orbit of $H$ atom $ii$. $-27.2 \text{ eV}$ $C$. Kinetic energy of $II$ excited state of $He^+$ $iii$. $8.72 \times 10^{-18} \text{ J}$ $D$. Ionization potential of $He^+$ $iv$. $-54.4 \text{ eV}$
| $A$. Energy of ground state of $He^+$ | $i$. $+6.04 \text{ eV}$ |
| $B$. Potential energy of $I$ orbit of $H$ atom | $ii$. $-27.2 \text{ eV}$ |
| $C$. Kinetic energy of $II$ excited state of $He^+$ | $iii$. $8.72 \times 10^{-18} \text{ J}$ |
| $D$. Ionization potential of $He^+$ | $iv$. $-54.4 \text{ eV}$ |
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