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MEDIUMMCQ SINGLEIChO (Chemistry Olympiad)Physical ChemistryAtomic StructureIntro

[NEET 2022] If the radius of the second Bohr orbit of He⁺ ion is 105.8 pm, what is the radius of the third Bohr orbit of Li²⁺ ion?

0.158.7 pm
1.15.87 pm
2.1.587 pm
3.158.7 Å
Explanation

rₙ = 52.9 n²/Z pm. For He⁺: r₂ = 52.9 × 4/2 = 105.8 pm ✓. For Li²⁺ (Z=3), n=3: r₃ = 52.9 × 9/3 = 52.9 × 3 = 158.7 pm

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