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TS EAMCET · Physics · Atomic Physics

An electron collides with a hydrogen atom in its grownd state and excites it to \(n=3\) state. The energy given to the hydrogen atom in this inelastic collision (neglecting the recoil of hydrogen atom) is

  1. A \(10.2 \mathrm{eV}\)
  2. B \(12.1 \mathrm{eV}\)
  3. C \(12.5 \mathrm{eV}\)
  4. D \(13.6 \mathrm{eV}\)
Verified Solution

Answer & Solution

Correct Answer

(B) \(12.1 \mathrm{eV}\)

Step-by-step Solution

Detailed explanation

According to the question, Energy given to hydrogen atom \(=\) Difference in energy level from \(n_1=1\) to \(n_2=3\) states \(=13.6\left(\frac{1}{n_1^2}-\frac{1}{n_2^2}\right)=13.6\left(\frac{1}{1^2}-\frac{1}{3^2}\right)=13.6\left(1-\frac{1}{9}\right)\)…
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