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TS EAMCET · Chemistry · Structure of Atom

The radius of first Bohr orbit of hydrogen atom is same as that of orbit (n) of hydrogen like species X. (n) and X respectively are

  1. A (2), \(\mathrm{Li}^{2+}\)
  2. B (3), \(\mathrm{Li}^{2+}\)
  3. C (2), \(\mathrm{Be}^{3+}\)
  4. D (2), \(\mathrm{He}^{+}\)
Verified Solution

Answer & Solution

Correct Answer

(C) (2), \(\mathrm{Be}^{3+}\)

Step-by-step Solution

Detailed explanation

Radius of ' \(n{ }^{\text {th' }}\) orbit of a hydrogen-like species is:- \[ r_n=\frac{0.529 n^2}{z} Å \] For first orbit of hydrogen atom, \(r\) \(=0.529 Å\) the radii to be equal; \(\mathrm{n}^2=\mathrm{z}\) \(\Rightarrow \mathrm{n}=2\) for \(\mathrm{Be}^{3+}\) whose…