Calculate the radius of the orbit of singly–ionised helium ( , )

CHEMISTRY · Single correct · CBSE · Chemistry · Structure of Atom · Structure of Atom

Problem

Calculate the radius of the n=2n=2 orbit of singly–ionised helium (He+\mathrm{He}^{+}, Z=2Z=2). (Bohr radius a0=0.529 A˚a_0 = 0.529\,\text{Å}; 1 A˚=10−10 m1\,\text{Å}=10^{-10}\,\text{m}) (a) 2.12×10−10 m2.12\times10^{-10}\,\text{m} (b) 1.06×10−10 m1.06\times10^{-10}\,\text{m} (c) 0.529×10−10 m0.529\times10^{-10}\,\text{m} (d) 0.265×10−10 m0.265\times10^{-10}\,\text{m}

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