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AP EAMCET · PHYSICS · Atomic Physics

A hydrogen like atom has one electron revolving round a stationary nucleus. If the energy required to excite the electron from the 2 nd orbital to 3 rd orbit is \(47.2 \mathrm{eV}\), find the atomic number of the given atom.

  1. A 3
  2. B 4
  3. C 5
  4. D 6
Verified Solution

Answer & Solution

Correct Answer

(C) 5

Step-by-step Solution

Detailed explanation

The energy of \(n\)th orbit is given as \(E_n=\frac{-R h C z^2}{n^2}\) For hydrogen atom, \(z=1\) and \(n=1\), hence \(E_1=\frac{-R h C \cdot 1^2}{1^2}=-R h C\) We know that, \(R h C=13.6 \mathrm{eV}\) \(\therefore \quad E_1=-13.6 \mathrm{eV}\) For \(n=2\),…
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