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KCET · Physics · Atomic Physics

If \(\mathrm{n}\) is the orbit number of the electron in a hydrogen atom, the correct statement among the following is

  1. A electron energy varies as \(\mathrm{n}^{2}\)
  2. B electron energy increases as \(\mathrm{n}\) increases
  3. C hydrogen emits infrared rays for the electron transition from \(\mathrm{n}=\infty\) to \(\mathrm{n}=1\)
  4. D electron energy is zero for \(n=1\)
Verified Solution

Answer & Solution

Correct Answer

(B) electron energy increases as \(\mathrm{n}\) increases

Step-by-step Solution

Detailed explanation

\[
\mathrm{E}=-\frac{13.6}{\mathrm{n}^{2}} \mathrm{eV}
\]
Hence, electron energy increases as \(n\) increases.