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Question

Physics Question on Atoms

The radius of fifth orbit of the Li++ is __________ × 10^-12 m.
Take : radius of hydrogen atom = 0.51 Å

Answer

𝑟𝑛=0.51𝑛2𝑍𝐴0𝑟_𝑛 = \frac{0.51𝑛^2}{𝑍} 𝐴_0
For Li++, z=3.
So 𝑟5=0.51×253×1010𝑟_5 = 0.51 × \frac{25}{3} × 10^{−10} 𝑚 = 17 × 25 × 1012𝑚10^{−12}𝑚 = 425 × 101210^{−12}m