Step 1: Analyze each statement
Statement (A):
The correct order of atomic radii in group 13 elements is \(\text{Tl} > \text{In} > \text{Al} > \text{Ga} > \text{B}\), not \(\text{Tl} > \text{In} > \text{Ga} > \text{Al} > \text{B}\).
- This statement is incorrect.
2.Statement (B):
Down the group, electronegativity generally decreases. However, due to the presence of \(d\)-electrons in \(\text{Ga}\), \(\text{In}\), and \(\text{Tl}\), their electronegativity values do not follow a simple trend.
- This statement is incorrect.
3.Statement (C):
\(\text{Al}\) reacts with dilute \(\text{HCl}\) to release \(\text{H}_2\):
\[2\text{Al} + 6\text{HCl} \rightarrow 2\text{AlCl}_3 + 3\text{H}_2.\]
Concentrated \(\text{HNO}_3\) forms a passive oxide layer on \(\text{Al}\), protecting it from further reaction.
- This statement is correct.
4.Statement (D):
In group 13, the \(+3\) oxidation state is more stable than \(+1\). The \(+1\) state is exhibited by \(\text{Tl}\) due to the inert pair effect, but it is
not highly stable for all elements.
- This statement is incorrect.
5.Statement (E):
In \([\text{Al}(\text{H}_2\text{O})_6]^{3+}\), the hybridization of \(\text{Al}\) is \(\text{sp}^3\text{d}^2\), corresponding to an octahedral geometry. - This statement is correct.
Step 2: Conclusion
The correct statements are (C) and (E).
Final Answer: (1).
The portion of the line \( 4x + 5y = 20 \) in the first quadrant is trisected by the lines \( L_1 \) and \( L_2 \) passing through the origin. The tangent of an angle between the lines \( L_1 \) and \( L_2 \) is: