In the given figure, energy levels of H-atom are shown. Transitions A ($n=\infty \to 1$), B ($n=4 \to 2$), C ($n=4 \to 3$) represent : 
Step 1: Lyman series ends at $n=1$. Transition from $n=\infty$ is the series limit.
Step 2: Balmer series ends at $n=2$. 1st member: $3 \to 2$, 2nd member: $4 \to 2$.
Step 3: Paschen series ends at $n=3$. 1st member: $4 \to 3$, 2nd member: $5 \to 3$.
*Note: Based on standard textbook diagrams for A, B, C.*

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 ___________.