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JEE Mains · Physics · STD 12 - 12. atoms

As an electron makes a transition from an excited state to the ground state of a hydrogen - like atom/ion:

  1. A kinetic energy, potential energy and total energy decrease
  2. B kinetic energy decreases, potential energy increases but total  energy remains same
  3. C kinetic energy and total energy decrease but potential energy mcreases
  4. D its kinetic energy increases but potential energy and total energy decrease
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Answer & Solution

Correct Answer

(D) its kinetic energy increases but potential energy and total energy decrease

Step-by-step Solution

Detailed explanation

\({\text{U}} = - {\text{K}}\frac{{{\text{z}}{{\text{e}}^2}}}{{\text{r}}}\) ; \({\text{T}} \cdot {\text{E}} = - \frac{{\text{k}}}{2}\frac{{{\text{z}}{{\text{e}}^2}}}{{\text{r}}}\) \(\mathrm{K.E}=\frac{\mathrm{k}}{2} \frac{\mathrm{ze}^{2}}{\mathrm{r}} .\) Here \(r\) decreases
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