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44
Subjective

Match the following rules with their statements.

Rules Statements
A. Hund's Rule 1. No two electrons in an atom can have the same set of four quantum numbers.
B. Aufbau Principle 2. Half-filled and completely filled orbitals have extra stabilty.
C. Pauli Exclusion Principle 3. Pairing of electrons in the orbitals belonging to the same subshell does not take place until each orbital is singly occupied.
D. Heisenberg's Uncertainty Principle 4. It is impossible to determine the exact position and exact momentum of a subatomic particle simultaneously.
5. In the ground state of atoms, orbitals are filled in the order of their increasing energies.

Explanation

A. $\rightarrow$ (3)

B. $\rightarrow$ (5)

C. $\rightarrow$ (1)

D. $\rightarrow$ (4)

A. Hund's rule states that pairing of electrons in the orbitals belonging to the same subshell ( $p, d$ or $f$ ) does not take place until each orbital belonging to that subshell has got one electron each i.e., it is singly occupied.

B. Aufbau principle states that in the ground state of the atoms, the orbitals are filled in order of their increasing energies.

C. According to Pauli exclusion principle, no two electrons in an atom can have the same set of four quantum numbers.

D. Heisenberg's uncertainty principle states that it is impossible to determine the exact position and exact momentum of a subatomic particle simultaneously.

45
Subjective

Match the following.

Column I Column II
A. X-rays 1. $$v=10^0-10^4$$ Hz
B. Ultraviolet wave (UV) 2. $$v=10^{10}$$ Hz
C. Long radio waves 3. $$v=10^{16}$$ Hz
D. Microwave 4. $$v=10^{18}$$ Hz

Explanation

A. $\rightarrow(4)$

B. $\rightarrow(3)$

C. $\rightarrow$ (1)

D. $\rightarrow(2)$

Name Frequency Uses
A. X-rays $$
2 \times 10^{16}-3 \times 10^{19} \mathrm{~Hz}
$$
Medical pictures, material testing
B. Ultraviolet wave (UV) $$
7.9 \times 10^{14}-2 \times 10^{16} \mathrm{~Hz}
$$
Germisidal lamp
C. Long radio waves $$
10^0-10^4 \mathrm{~Hz}
$$
Signal transmission
D. Microwave $$
1 \times 10^9-5 \times 10^{11} \mathrm{~Hz}
$$
Cooking radar

46
Subjective

Match the following.

Column I Column II
A. Photon 1. Value is 4 for N-shell
B. Electron 2. Probability density
C. $${\psi ^2}$$ 3. Always positive value
D. Principle quantum number n 4. Exhibits both momentum and wavelength

Explanation

A. $\rightarrow(4)$

B. $\rightarrow$ (4)

C. $\rightarrow(2,3)$

D. $\rightarrow(1,3)$

A. Photon has particle nature as well as wave nature. It exhibits both momentum and wavelength.

B. Electron also has particle nature as well as wave nature. Thus, it also exhibits both momentum and wavelength.

C. $\psi^2$ represents probability density of electron and always has positive values.

D. Principal quantum number $n=4$ for $N$-shell.

$$\begin{array}{rrrr} & \mathrm{K} &\mathrm{L} & \mathrm{M} & \mathrm{N} \\ & n=\quad 1 & 2 & 3 & 4 \end{array}$$

It always has positive values.

47
Subjective

Match species given in Column I with the electronic configuration given in Column II.

Column Column II
A. Cr 1. $$
[\operatorname{Ar}] 3 d^8 4 s^0
$$
B. Fe$$^{2+}$$ 2. $$
[\operatorname{Ar}] 3 d^{10} 4 s^1
$$
C. Ni$$^{2+}$$ 3. $$
[\operatorname{Ar}] 3 d^6 4 s^0
$$
D. Cu 4. $$
[\operatorname{Ar}] 3 d^5 4 s^1
$$
5. $$
[\operatorname{Ar}] 3 d^6 4 s^2
$$

Explanation

A. $\rightarrow(4)$

B. $\rightarrow$ (3)

C. $\rightarrow(1)$

D. $\rightarrow(2)$

A. $\operatorname{Cr}(Z=24)=1 s^2 2 s^2 2 p^6 3 s^2 3 p^6 3 d^5 4 s^1=[\operatorname{Ar}] 3 d^5 4 s^1$

B. $\mathrm{Fe}^{2+}(Z=26)=1 s^2 2 s^2 2 p^6 3 s^2 3 p^6 3 d^6 4 s^0=[\operatorname{Ar}] 3 d^6 4 s^0$

C. $\mathrm{Ni}^{2+}(Z=28)=1 s^2 2 s^2 2 p^6 3 s^2 3 p^6 3 d^8 4 s^0=[\mathrm{Ar}] 3 d^8 4 s^0$

D. $\mathrm{Cu}(Z=29)=1 s^2 2 s^2 2 p^6 3 s^2 3 p^6 3 d^{10} 4 s^1=[\mathrm{Ar}] 3 d^{10} 4 s^1$

48
MCQ (Single Correct Answer)

Assertion (A) All isotopes of a given element show the same type of chemical behaviour.

Reason (R) The chemical properties of an atom are controlled by the number of electrons in the atom.

A
Both $A$ and $R$ are true and $R$ is the correct explanation of $A$
B
Both $A$ and $R$ are true but $R$ is not the correct explanation of $A$
C
$A$ is true but $R$ is false
D
Both $A$ and $R$ are false