If radius of second Bohr orbit of the He^+ ion is 105.8 pm , What is the radius of third Bohr Orbit of Li^2+ ion? - Chemistry MCQ NEET 2022 2026 | ExamTest.live

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If radius of second Bohr orbit of the He^{+} ion is 105.8 pm, What is the radius of third Bohr Orbit of Li^{2 +} ion?

Solution & Step-by-step Explanation

Radius r_{n} \propto \frac{n ^{2}}{Z} .For He^{+} (Z = 2): r_{2} = k \frac{2 ^{2}}{2} = 2 k = 105.8 pm ⟹ k = 52.9 pm (this is a_{0}).For Li^{2 +} (Z = 3): r_{3} = k \frac{3 ^{2}}{3} = 3 k r_{3} = 3 \times 52.9 = 158.7 pm

Try it yourself before checking the explanation above.

If radius of second Bohr orbit of the He^{+} ion is 105.8 pm, What is the radius of third Bohr Orbit of Li^{2 +} ion?

158.7 pm

15.87 pm

1.587 pm

158.7 \overset{˚}{A}

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