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Which hydrogen like species will have same radius as that of first Bohr's orbit of hydrogen atom?

Options

  1. An = 2 , B e 3 +
  2. Bn = 2 , L i 2 +
  3. Cn = 2 , H e +
  4. Dn = 3 , L i 2 +

Correct answer

A. n = 2 , B e 3 +

Step-by-step solution

I s t Bohr's orbit r 0   =   0 .529   A o of hydrogen (i) n = 2 , B e 3 + ( Z = 4 ) ∴ r = r 0 × n 2 Z = r 0 (ii) n = 2 , L i 2 + ( Z = 3 ) ∴ r = r 0 × 2 2 3 = 4 r 0 3 (iii) n = 2 , H e + ( Z = 2 ) ∴ r = r 0 × 2 2 2 = 2 r 0 (iv) n = 3 , L i 2 + ( Z = 3 ) ∴ r = r 0 × 3 2 3 = 3 r 0

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