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TS EAMCET · Physics · Atomic Physics

The maximum wavelength of incident radiation required to ionize a hydrogen atom in its ground state is nearly

  1. A 912 nm
  2. B \(1215 Å\)
  3. C \(912 Å\)
  4. D 1215 nm
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Answer & Solution

Correct Answer

(C) \(912 Å\)

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Detailed explanation

\( E = \frac{hc}{\lambda} \) \( \lambda = \frac{hc}{E_{ion}} = \frac{1240 \text{ eV} \cdot \text{nm}}{13.6 \text{ eV}} \) \( \lambda \approx 91.176 \text{ nm} = 911.76 \text{ Å} \approx 912 \text{ Å} \)
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