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Question: Answered & Verified by Expert
$15 \mathrm{eV}$ is given to $e^{-}$in $4^{\text {th }}$ orbit, then find its final energy when it comes out of $\mathrm{H}$-atom.
PhysicsAtomic PhysicsAIIMSAIIMS 2019 (26 May)
Options:
  • A $14.15 \mathrm{eV}$
  • B $13.6 \mathrm{eV}$
  • C $12.08 \mathrm{eV}$
  • D $15.85 \mathrm{eV}$
Solution:
2510 Upvotes Verified Answer
The correct answer is: $14.15 \mathrm{eV}$
Energy of $4^{\text {th }}$ orbit of $\mathrm{H}$-atom
$=-13.6 \times \frac{1}{16}=-0.85 \mathrm{eV}$
So energy released $=$ total energy - ionization energy of $4^{\text {th }}$ orbit $=15-0.85=14.15 \mathrm{eV}$

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