(1) B < Al
(2) In < T l
(3) Al < Ga
(4) Ga < In
Atomic Radius Trends in the Periodic Table
Atomic radius changes predictably with element position:
Down a Group: Atomic radius increases with added electron shells.
Across a Period (Left to Right): Atomic radius decreases due to increased nuclear charge.
Evaluation of Given Pairs:
B < Al: Boron (B) and Aluminum (Al) are in Group 13. Al is below B, thus Al possesses a larger atomic radius. Correct.
In < Tl: Indium (In) and Thallium (Tl) are in Group 13. Tl is below In, thus Tl possesses a larger atomic radius. Correct.
Al < Ga: Aluminum (Al) and Gallium (Ga) are in Group 13. Ga is below Al, thus Ga possesses a larger atomic radius. Correct.
Ga < In: Gallium (Ga) and Indium (In) are in Group 13. In is below Ga, thus In possesses a larger atomic radius. Correct.
Conclusion: All evaluated orders are correct based on general atomic radii trends in the periodic table. The initial reasoning contained an error. Indium, situated below Gallium within the same group, exhibits a larger atomic radius.
Considering Bohr’s atomic model for hydrogen atom :
(A) the energy of H atom in ground state is same as energy of He+ ion in its first excited state.
(B) the energy of H atom in ground state is same as that for Li++ ion in its second excited state.
(C) the energy of H atom in its ground state is same as that of He+ ion for its ground state.
(D) the energy of He+ ion in its first excited state is same as that for Li++ ion in its ground state.