An electron makes a transition from an excited state to the ground state of a ydrogen like atom. out of the…
An electron makes a transition from an excited state to the ground state of a ydrogen like atom. out of the following statements which one is correct?
- K.E., P.E. and T.E. decreases.
- K.E. decreases, P.E. increases but total energy remains the same.
- E. increases but P.E. and T.E. decreases.
- K.E. and T.E. decreases but P.E. increases.
Solution
$\begin{aligned}
\text { T.E. } &=-13.6 \frac{Z^{2}}{n^{2}} \mathrm{eV}, \text { P.E. }=2 \text { T.E. } \\
\text { and } k . E . &=13.6 \frac{Z^{2}}{n^{2}} \mathrm{eV}
\end{aligned}$
Hence if n decreases k.E increases but P.E. and T.E. decrease.
Asked in: MHT CET 2020 (14 Oct Shift 2)
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