(1) B < Al
(2) In < T l
(3) Al < Ga
(4) Ga < In
Atomic Radius Trends in the Periodic Table
The atomic radius generally changes based on the position of an element in the periodic table:
Down a Group: The Atomic radius generally increases due to the addition of electron shells.
Across a Period (Left to Right): The Atomic radius generally decreases due to increasing nuclear charge.
Evaluation of Given Pairs:
B < Al: Boron (B) and Aluminum (Al) are in Group 13. Al is below B, so Al has a larger atomic radius. Correct.
In < Tl: Indium (In) and Thallium (Tl) are in Group 13. Tl is below In, so Tl has a larger atomic radius. Correct.
Al < Ga: Aluminum (Al) and Gallium (Ga) are in Group 13. Ga is below Al, so Ga has a larger atomic radius. Correct.
Ga < In: Gallium (Ga) and Indium (In) are in Group 13. In is below Ga, so In has a larger atomic radius. Correct.
Conclusion: Based on the general trends of atomic radii in the periodic table, all the evaluated orders are correct. The initial reasoning is flawed. Indium, being below Gallium in the same group, has a larger atomic radius.
Find the equivalent capacitance between A and B, where \( C = 16 \, \mu F \).
If the equation of the parabola with vertex \( \left( \frac{3}{2}, 3 \right) \) and the directrix \( x + 2y = 0 \) is \[ ax^2 + b y^2 - cxy - 30x - 60y + 225 = 0, \text{ then } \alpha + \beta + \gamma \text{ is equal to:} \]