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Question: Answered & Verified by Expert
If the potential energy of a hydrogen atom in the first excited state is assumed to be zero, then the total energy of \(n\) \(=\infty\) state is,
PhysicsAtomic PhysicsWBJEEWBJEE 2023
Options:
  • A \(3.4 \mathrm{eV}\)
  • B \(6.8 \mathrm{eV}\)
  • C 0
  • D \(\infty\)
Solution:
1039 Upvotes Verified Answer
The correct answer is: \(6.8 \mathrm{eV}\)
Hint : Potential energy in 1 st emited stage \(\left(\mathrm{U}_2\right)=-6.8 \mathrm{eV}\). When \(U_2\) is assumed to be zero then potential energy in \((n=\infty)\)
will be \(6.8 \mathrm{eV}\)
so, total energy for \((n=\infty)=6.8 \mathrm{eV}\)

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