| List-I | List-II |
|---|---|
| A. Melting point [K] | I. Tl > In > Ga > Al > B |
| B. Ionic Radius [M3/pm] | II. B > Tl > Al ≈ Ga ≈ In |
| C. ΔiH1 [kJ mol-1] | III. Tl > In > Al > Ga > B |
| D. Atomic Radius [pm] | IV. B > Al > Tl > In > Ga |
To match the items from List I with List II:
A. Melting point [K]: Based on the trend, Tl > In > Ga > Al > B. (Matches I).
B. Ionic Radius [M$^{+3}$/pm]: Boron has the smallest ionic size, followed by Tl > Al $\approx$ Ga > In (Matches II).
C. $\Delta_i H_1$ [kJ mol$^{-1}$]: Ionization enthalpy follows the trend Tl > In > Al > Ga > B.(Matches III).
D. Atomic Radius [pm]: Atomic radius increases as B > Al > Tl > In > Ga.(Matches IV).
Correct Answer: (3)
Which one of the following graphs accurately represents the plot of partial pressure of CS₂ vs its mole fraction in a mixture of acetone and CS₂ at constant temperature?

Let \( \alpha = \dfrac{-1 + i\sqrt{3}}{2} \) and \( \beta = \dfrac{-1 - i\sqrt{3}}{2} \), where \( i = \sqrt{-1} \). If
\[ (7 - 7\alpha + 9\beta)^{20} + (9 + 7\alpha - 7\beta)^{20} + (-7 + 9\alpha + 7\beta)^{20} + (14 + 7\alpha + 7\beta)^{20} = m^{10}, \] then the value of \( m \) is ___________.