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The radius of the first Bohr orbit of hydrogen atom is 0.529 Å , calculate the radii of – 

(i) the third orbit of He+ ion

(ii) the second orbit of Li2+ ion

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Q Radius of nth Bohr orbit

rn\(\frac{0.529n^2}{z}\)

For H-atom, z = 1,

For first orbit n = 1

(i) For He+ ion, z = 2, third orbit, n = 3

r3\(\frac{0.529\times(3)^2}{2}\)

\(\frac{0.529\times9}{2}\)

= 2.380 Å

(ii) For Li2+ion, z = 3

Second orbit, n = 2

\(\therefore\) r2\(\frac{0.529\times(2)^2}{3}\)

\(\frac{0.529\times4}{3}\)

= 0.7053 Å

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