From quantisation of angular momentum, one gets for hydrogen atom, the radius of the n th…

Physics · Class 12 · CBSEAtoms

From quantisation of angular momentum, one gets for hydrogen atom, the radius of the nth orbit as \(r_{n}=\left(\frac{n^{2}}{m_{e}}\right)\left(\frac{h}{2 \pi}\right)^{2}\left(\frac{4 \pi^{2} \varepsilon_{0}}{e^{2}}\right)\)For a hydrogen like atom of atomic number Z,

  1. the radius of the first orbit will be the same
  2. rn will be greater for larger Z values
  3. rn will be smaller for larger Z values
  4. none of these

Answer

(C) r n will be smaller for larger Z values

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